In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountains, many houses’ roofs are built using trusses, which are strong enough to support the heavy load from snow, but light enough to build in a stockyard and transport to the construction site. Chris works in the stockyard. He has been told he needs to build a series of trusses for a new house using the pattern below. He has also been told the pattern may be inaccurate—so he needs to check and make sure the following features are all parallel, and adjust the pattern before starting.

On this discussion board, post your answers to these questions:

1) What method(s) can Chris use to make sure the segments in the pattern are all parallel and that his new trusses are built precisely and strongly?
2) What method(s) can Chris’s boss use to verify the precision of the trusses Chris builds?
3)Identify any alternate interior angles, corresponding angles, and/or alternate exterior angles.

In Construction, The Precision Used To Build A Structure Directly Influences The Strength Of The Structure.

Answers

Answer 1

The method that Chris can use to make sure the segments in the pattern are all parallel is to treat AI as a single line that acts as a transversal for the lines that need to be parallel.

How to illustrate the information?

Within the set of lines which need to be parallel, the acute angles must be congruent.

Both angles CDE and EDF need to be 180° minus twice the measure of one of the congruent acute angles.

The pair of the acute angles previously within each of the two sets of parallel lines are corresponding.

The fact that the transversals go through endpoints, there are no alternate angles, interior or exterior because alternate angles are on opposite sides of the transversal.

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Related Questions

A student can pitch a fast ball at 65 miles per hour. Convert this
speed to yards per second.
O 95.33 yd/sec
O 132.95 yd/sec
O 31.77 yd/sec
O 21.67 yd/sec

Answers

Answer:

31.77 yd/sec

Step-by-step explanation:

Conversions:

1 mile = 1760 yards1 hour = 3600 seconds

Given:

[tex]\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}[/tex]

Therefore, to convert 65 mph to yards per second:

[tex]\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s[/tex]

Answer:

c.) 31.77... yd/sec

Explanation:

Given: 1 hours → 65 miles

Conversions:

(i) 1 hour = 60 minutes = 3600 seconds

(ii) 1 miles = 1760 yards

Then,

1 hour = 3600 seconds65 miles = (1760 × 65) = 114400 yards

 Speed:

⇒ distance/speed

⇒ 114400/3600

⇒ 31.77777...

⇒ 31.77 yd/sec

I need help to find the justification for this problem!

Answers

The tangents that exists between the two given circles are not common tangents because they are not of the same size or circumference.

What is a tangent?

A tangent can be defined as the plane line that touches a curved surface such as a circle but doesn't pass through the circle.

From the diagram given, the two circles are not of the same size, that is, they have different circumstances. This means that the point where the line meets the both circles are not the same.

Therefore, the tangents that exists between the two given circles are not common tangents.

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Find the measure of the angles indicated

Answers

Both angles have a measure of 125°.

How to find the measure of the angles?

Assuming the two horizontal lines are parallel, we know that the measure of the two indicated angles must be the same one.

Then:

-1 + 14x = 12x + 17

Now we need to solve this for x:

14x - 12x = 17 + 1

2x = 18

x =18/2 = 9

Now that we know the value of x we can replace it in any of the expressions for the angles:

-1 + 14*9 = 125°

Both angles have a measure of 125°.

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Carissa pays $2.10 each day for lunch. her money is in an account that is deducted each time she buys a lunch. there are 6 days until the end of the school year and her account has $12.75 in it. how much money will she get back at the end of the year?

Answers

Answer:

15¢

Step-by-step explanation:

$12.75 - 6 × $2.10 = $12.75 - $12.60 = $0.15

Answer: 15 cents

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs. The machine produces five objects in four minutes.

a. Write an equation that represents the situation.
Hellllppp me please!!!!!!!!!!!

Answers

The equation that represents the situation will be 4y = 5x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.

The machine produces five objects in four minutes.

Let y be the number of objects and x be the number of the minutes.

Then the equation that represents the situation will be

 y = (5/4)x

4y = 5x

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A recipe calls for 11 tablespoons of sugar and 22 teaspoons of salt. How many
teaspoons of salt are needed for just one tablespoon of sugar?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value:

Answers

It will require 2 tablespoons of salt for just 1 tablespoon of sugar for the combination.

What are word problems?

Word problems are a systematic approach used in mathematics for solving real-life cases by determining unknown values.

From the given information:

If it takes 11 tablespoon + 22 teaspoon to make 1 recipe.

i.e.

11 tablespoon of sugar  + 22 teaspoon of salt = 1 recipe

Then it will require 2 tablespoons of salt for just 1 tablespoon of sugar.

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Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden.

Answers

the answer is x^2+(2x)(x-16)

Answer:

The answer is 32

Step-by-step explanation:

Please help me with this geometry question, Im pretty sure you need to use SAS congruence rule

Answers

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

How to prove the side lengths?

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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The train will take 1h, then the bus will take and a half hours. i need to allow half an hour to change between them. how long will the whole journey take?

Answers

Total time for whole journey would be 3 hours.

The total trip is divided into three intervals :-

Travelling by trainTravelling by busTime taken to change between them

Hence to find the total time of the trip we need time taken in each interval and just add them up.

The final expression would be :-

Total time taken = Time taken by bus + Time taken by train +

                                Time taken to change between them

Given:-

Time taken by bus = 1.5 hrsTime taken by train = 1 hrsTime taken to change between them = 0.5 hrs

Thus Total time for whole journey would be 3 hours.

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Prove that the triangles formed due to the diagonal of rectangle are congruent to one another

Answers

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.The triangles formed due to the diagonal of the rectangle are congruent to one another.

What is a rectangle?

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

For the given rectangle ABCD, the length of the diagonals AC and BD can be written as,

AC = √(x² + y²)

BD = √(x² + y²)

Now, the triangles formed due to the diagonals AC and BD are ΔABC and ΔBCD. Also, for ΔABC and ΔBCD we can write,

∠ABC = ∠BCD = 90°

AB = CD = x {Oppsite sides of the rectangle are equal}

BC = AD = y {Oppsite sides of the rectangle are equal}

Hence, the two triangles are equal. Therefore, the triangles formed due to the diagonal of the rectangle are congruent to one another.

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please help me with math

Answers

The area of triangle BMN is 124.7 square centimeter.

What are similar triangles?

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

[tex](BH)^{2}[/tex] = [tex](AB)^{2}[/tex] - [tex](AH)^{2}[/tex]

[tex](BH)^{2}[/tex] = [tex]50^{2}[/tex] - [tex]25^{2}[/tex]

[tex](BH)^{2}[/tex] = 2500 - 625

[tex](BH)^{2}[/tex] = 1875

BH = [tex]\sqrt{1875}[/tex] = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

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Tiger Biscuits factory planing to produce 10,000 units in Month Standard time per 200 units is 8 hours! the Company pays. Rs. 40 per her. ​

Answers

The total cost or amount that Tiger Biscuits will pay will be Rs 16000.

How to calculate the cost?

From the information given, the factory is planing to produce 10,000 units and the standard time per 200 units is 8 hours.

The time taken to produce 10000 units will be:

= (10000/200) × 8

= 400 hours.

The amount that the company will pay will be:

= 400 × Rs 40

= Rs 16000

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Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
The triangle is acute because 22 + 52 > 42.
The triangle is acute because 2 + 4 > 5.
The triangle is not acute because 22 + 42 < 52.
The triangle is not acute because 22 < 42 + 52.

Answers

Answer:

 The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

Answer:

The triangle is not acute because 2² + 4² < 5²

Step-by-step explanation:

got it correct on my quiz

What is the range of Y = l0g8X?
O all real numbers less than 0
O all real numbers greater than 0
O all real numbers not equal to 0
all real numbers

Answers

Step-by-step explanation:

all real numbers not equal to 0

all real numbers

Step-by-step explanation:

[tex]What \ is\ the \ range \ of \ y = log_8x?\\x > 0 \ or\ x\in(0;\infty).\\Answer: \ all \ real \ numbers \ greater\ than \ 0.[/tex]

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)

Answers

352 feet per second.

Suppose that the relation H is defined as follows.
H= = {(2, 7), (2, -1), (-8, -2)}
Give the domain and range of H.
Write your answers using set notation.
domain = = 0
range = 0
X

Answers

Answer:

Domain = {-8, 2}Range = {-2, -1, 7}

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010 ? The population of Town C in 2000 was of the population in 2005. The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

Answers

Yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Statement 1: The population of Town C in 2000 was 2/3 of the population in 2005

This tells us the population change from 2000 to 2005 since we need to know the population change from 2000 to 2010, this statement is not sufficient.

Statement 2: The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

Since statement 2 provides no information about the population change from 2000 to 2005, there is no to answer this question with certainty. thus, statement 2 is not sufficient

Statement 1 and Statement 2 combined:

Let X= the population in 2000

Let Y= the population in 2005

Let Z= the population in 2010

From statement 1, we can write: X=[tex]\frac{2}{3}[/tex]Y

Multiply both sides by 3 to get [tex]3X=2Y[/tex]

Divide both sides by 2 to get [tex]\frac{3}{2}X=Y[/tex]

=>[tex]Y=1.5X[/tex]

As per statement 2, let's first determine the increase in the number of people from 2000 to 2005

If [tex]Y=1.5X[/tex], we know

X= the population in 2000

1.5X= the population in 2005

[tex]1.5X-X=0.5X[/tex]

So, the population increased  [tex]0.5X[/tex] from 2000 to 2005

So,  from 2005 to 2010, the population increased at least 0.5X

1.5X= the population in 2005

[tex]1.5X+0.5X=2.0X[/tex]

So, the population in 2010 was at least 2.0X

In other words, the population at least doubled from 2000 to 2010

So, the answer to the target question is yes, the population of Town C increased by at least 100 percent from the year 2000 to the year 2010

Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010?

(1) The population of Town C in 2000 was 2/3 of the population in 2005.

(2) The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.

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linear slope help pls

Answers

A slope is also known as the gradient of a line. The slope of the given linear table is $250 per car.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the linear table is,

m = ($4,000 - $2,500)/(12-6) = $250 per cars

Hence, the slope of the given linear table is $250 per car.

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What is the down payment for this vehicle: $37,850.00 at 7% down

Answers

Answer:

$2,649.50

Step-by-step explanation:

s

AB ≅ BC and AD ≅ CD

Triangles A B C and A D C share side A C. Line X is drawn from point B to point B to form 4 triangles.

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?



What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?

Answers

The additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

How to illustrate the information?

From the information, Triangles A B C and A D C share side A C. Line X is drawn from point B to point B to form 4 triangles.

In this case, the additional information that would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem is that BD is perpendicular to AC.

Also, the additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem is that AX and CX are congruent.

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Answer:

What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem?

✔ AC and BD are perpendicular.

What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?

✔ AX and CX are congruent.

Step-by-step explanation:

right on edge

What is the solution (a, b) to this system of linear equations? 3a 6b=45 2a-2b=-12 (-27, 6) (-1, 7) (1, 7) (27, -6)

Answers

The solution of the system of linear equation are (1, 7)

How to solve system of equation?

3a + 6b = 45

2a - 2b = -12

multiply equation(ii) by 3

Therefore,

3a + 6b = 45

6a - 6b = -36

9a  = 9

a = 1

Hence,

2(1) - 2b = -12

2 - 2b = -12

-2b = -12 - 2

- 2b = - 14

b = -14 / -2

b = 7

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In a class test containing 20 questions, 5 marks are given for every correct answers, ( -2 ) marks given for every incorrect answers and zero mark for question not attempted. Anju gets 9 correct answer and 11 incorrect answers. What is her total score?

Answers

Answer:

she has 23 points

Step-by-step explanation:

hope this helps and mark brainliest please

HELP ASAP!!!
REASONS ONLY

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answers

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

What is a Rhombus?

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

What is the above proof?

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.[tex]\overline {DC}[/tex]  ≅ [tex]\overline {BC}[/tex]  Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.ABCD is a Rhombus Reason = Its sides are all congruent.

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5. Try It #5
If f(x) is a linear function, with f(2)=-11, and f(4)=-25, find an equation for the function in slope-intercept form.

Answers

The function in slope-intercept form is mathematically given as

f(x)=14x+154

What is an equation for the function in slope-intercept form.?

Parameters

f(2)=-11,

f(4)=-25

Generally, the equation for the slope is  mathematically given as

[tex]m=\frac{-25+11}{2-}[/tex]

m=7

In conclusion, the line equation

y-2=7(x-+11)

y as subject

y=14x+154

f(x)=14x+154

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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2-5x=2x - 3
=
OA. X 0.75
OB. x= -0.75
OC. x 1.25
OD. x= -1.25
2

Answers

The solution to the equation below to the nearest fourth of a unit is 0.75

Solving linear equation

Given the linear equation below expressed as:

2-5x=2x - 3

Collect the like terms

-5x - 2x = -3- 2

-7x = -5

Divide both sides by -7 to have:

-7x/-7 = -5/-7
x = 5/7

x = 0.75

Hence the solution to the equation below to the nearest fourth of a unit is 0.75

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Given: AD∥BC and AB∥CD
Prove: AD≅BC and AB≅CD

Answers

Answer:

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)

I’m guessing SSS because they are both sharing the side in the middle

Five little girls taken in couples weigh 129 pounds, 125 pounds, 124 pounds, 123 pounds, 122 pounds, 121 pounds, 120 pound, 118 pounds, 116 pounds and 114 pounds on a weighing machine. What was the weight of each one of the five little girls if taken separately

Answers

The weight of each one of the five little girls if taken separately is 242.4 lb.

Weight of each girl when taken separately

The weight of each girl can be determined from the average weight of the girls.

Weight of each girl = (Total weight) / number of girls

W = (129 + 125 + 124 + 123 + 122 + 121 + 120 + 118 + 116 + 114)/5

W = 1,212/5

W = 242.4 lb

Thus, the weight of each one of the five little girls if taken separately is 242.4.

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-8√147x simplify do you know how to answer this?

Answers

Answer:

-56√3x

Step-by-step explanation:

√147 = 7√3

-8(7√3x)

-56√3x

Hassan wants to ride his bicycle 26.8 miles this week. He has already ridden 6 miles.
If he rides for 4 more days, what is the average number of miles he would have to ride
each day to meet his goal?

Answers

AnsTHE OTHER GUY GOT IT RIGHT SORRY I DID THE MATH WRONG :( Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Distance left to ride = 26.8miles - 6 miles = 20.8 miles

There are 4 days left, so on average,

Hassan has to ride:

[tex] \frac{20.8}{4} \\ = 5.2mi[/tex]

Given: 4x + 5 = −6x + 5
Prove: x = 0 using two column proof

Answers

1) [tex]4x+5=-6x+5[/tex] (given)

2) [tex]4x=-6x[/tex] (subtraction property of equality)

3) [tex]10x=0[/tex] (addition property of equality)

4) [tex]x=0[/tex] (division property of equality)

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If humans possess enzymes that can break down starch, why can they not use cellulose as a source of glucose as well Read the excerpt from the story The Big MoveSandeep and Den were best friends living on a small island off the coast of Maine. They weren't alike, but they were two peas in a pod. Den was usually calm, logical, and level headed, while Sandeep often reacted based on his emotions. Still, they did everything together. They biked down to the general store to spend their allowance every Saturday afternoon, spent their summers at the same camp, and took the ferry every morning to the same school on the mainland. In fact, the two were inseparable.That is until one beautiful summer day when Den came over to Sandeep's house for lunch."We're moving," Den said."Ha! Yeah, right. What do you mean you're moving?" Sandeep replied.Den elaborated, "Mom and Dad say we're moving to the mainland. 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Determine the equation of a parent function for the parabola that has zeros 1,-5.Determine the member equation that passes through the point (-2,-36) Which of the following statements relate to natural selection? Select all that apply.Check All That ApplyA. differential reproductive successB. competition for resourcesC. heritable variationD. breeding to increase the frequency of desired traitsE. fitness A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.09. In a sample of 260 graduates, 20 students have a GPA of 3.00 or below. The value of the test statistic and its associated p-value are __________. Is a fly with no wings called a walk? Sam, a buyer for a small warehouse company, is looking to purchase a forklift from caterpillar or komatsu. He is looking for a reliable, narrow forklift to fit between the warehouses smaller aisles and that is a lower price. Sam doesnt need added-on services; he is well-versed in using and maintaining large equipment. He evaluates the forklift types and decides on a komatsu. Sam chooses the komatsu for its perceived reliability and it is $1500 less than the caterpillar forklift. Which approach that komatsu took was a success for sam as a customer?. What is the ratio by mass of these compounds a. 2na+cl2 =2nacl? b.h2o +nao=2naoh? c.hcl+naoh=nacl+h2o? If the restatement method for a foreign subsidiary involves remeasuring from the recording currency into the functional currency, then translating from functional currency to U.S. dollars, the functional currency of the subsidiary is: I. the U.S. dollar. II. the recording currency unit. III. a third country's currency. A tennis player tosses a tennis ball straight up and then catches it after 2.07 s at the same height as the point of release.(a) What is the acceleration of the ball while it is in flight?magnitude m/s2direction upward(b) What is the velocity of the ball when it reaches its maximum height?magnitude msdirection downwardmagnitude in zero(c) Find the initial velocity of the ball. m/s upward(d) Find the maximum height it reaches. m Solve 10x=3how do i take logarithms on both sides? On a scale drawing 2 centimeters represent 50 meters. How many centimeters represent 5 meters? What are three ways that state constitutions are like the United States Constitution ?