Find DE
13x-37
2x+13

Find DE 13x-372x+13

Answers

Answer 1

Answer:

DE = 27

Step-by-step explanation:

From the picture attached,

Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.

By the mid-segment theorem,

A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.

DC = [tex]\frac{1}{2}\text{AB}[/tex]

(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]

2(2x + 13) = (13x - 37)

4x + 26 = 13x - 37

13x - 4x = 26 + 37

9x = 63

x = 7

DE = 2x + 13

     = 2(7) + 13

     = 14 + 13

     = 27


Related Questions

Help Mee!!! What’s the answer

Answers

Answer:

A.

Step-by-step explanation:

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answers

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

Write the following in slope-intercept form.

Answers

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

how many eighth size parts do you need to model 3/4

Answers

Answer:

You need 6, 1/8 parts to make 3/4

Step-by-step explanation:

The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4

6/8ths is the correct answer

bruh

Independent or Dependent?

Answers

Answer:

independent

Step-by-step explanation:

independent...HOPE THIS HELPS!!

The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain

If you graphed this situation what would the slope represent? Explain

If you graphed this situation what would the y intercept be and what would it represent?

What units make sense for the slope?

Answers

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $

Answers

[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]

[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]

[tex] = \frac{9160}{6} [/tex]

[tex] = 1526.66[/tex]

___________________________________________

1526.66 is the average of his sales for this period.

Simplify the following problem.
| -48 – (-5) |

Answers

Answer:

the answer is -43 it is right

Answer:

-43

Step-by-step explanation:

help a brudda out its easy work bruddas

Answers

Answer:

Line 1 is y=-x-2

Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]

Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 52°F and the low temperature for the same day was 45°F, what is the number of heating degree days?

Answers

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

What are some common color associations? Pick at least three colors, and list their corresponding associations.

Answers

Answer:

Red, Yellow, Blue

Step-by-step explanation:

They are the primary colors,

or you can use Violet, Green, And Orange

These are secondary colors

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

7/15 - 2/5
please can someone do a step by step? thank you

Answers

Answer:

1/15

Step-by-step explanation:

1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)

2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15

3.) Subtract the numerators to get your answers

4.) Final Answer: 1/15

Help needed ASAP will give brainliest and 5 STARS VOTE RATE

Answers

Answer:

Nebula

Step-by-step explanation:

These clouds are called nebulae. A typical nebula is many light-years across and contains enough mass to make several thousand stars the size of our sun.

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

what are you supposed to solve for?

Step-by-step explanation:

Answer:

Can anyone say what are we supposed to ans or solve

what does the amount of markup or markdown represent in a percent equation?

Answers

Answer:

sometimes is called the cost or wholesale price

30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):

Answers

Answer:

boottom left middle left and top right

Step-by-step explanation:

Find the slope of the line that passes through the point (4,8) and (3,-3)

WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)

Answers

Answer:

I don't think it's possible for this to be a decimal because the slope is positive 11.

Step-by-step explanation:

Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.

i did it and i got 11 i don’t think it comes out as a decimal

please please help i’ll give brainliest tysm :)

Answers

ANSWER: $1.25

Explanation: $7.50 divided by 6


BRAINLIEST please

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Answers

Answer:

Step-by-step explanation:

This is a simplified solution.

A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?

Answers

Answer:

The answer would be 127. 03

Step-by-step explanation:

Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?

Answers

Answer:

8 fruits

Step-by-step explanation:

Todd and agnes are making desserts. todd buys

peaches and a carton of vanilla yogurt. agnes

buys apples and a jar of honey. they bought

the same number of pieces of fruit. is there a

situation in which they pay the same amount for

their purchases? explain.

apples

peaches=

$1.25 for peaches

$1.00 for apples

yogurt

honey=

$4 for yogurt

$6 for honey

Todd:

Peaches + yogurt

1.25x + 4

Agnes:

1.00x + 6

Where,

x = number of pieces of fruit

Equate the cost of Todd and Agnes

1.25x + 4 = 1.00x + 6

1.25x - 1.00x = 6 - 4

0.25x = 2

x = 2/0.25

= 8

x = 8 fruits

The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each

6x +1.5x = 2
What is x=

Answers

Answer:

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

Solution Steps:

______________________________

1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]

 - You combine since these are like terms.

Equation at the end of Step 1:

[tex]7.5x=2[/tex]

2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]

 - We divide because we want to get x alone.

Equation at the end of Step 2:

[tex]x=\frac{2}{7.5}[/tex]

3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]

 - We turned this into a fraction because we couldn't divide properly.

4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex]  [tex]75[/tex] ÷ [tex]5=15[/tex]

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?

FIRST TO ANSWER GETS BRAINIEST

Answers

303.8 because one tank holds 14 gallons and each gallon get 21.7 miles

How do you dilate a figure on the coordinate plane and determine its scale factor?

Answers

Answer:

All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.

Step-by-step explanation:

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people. ​

Answers

Answer:

We’ll, I need the table to answer that.

Step-by-step explanation:

A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.

12 m
132 m
264 m
825 m

Answers

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

Learn more about speed here;

https://brainly.com/question/7359669

#SPJ6

I have a question this is the picture ​

Answers

Answer:

The answer is D

Step-by-step explanation:

If you plug them into Desmos, they'll line up

Solve by using substitution. Express your answer as an ordered pair.

Answers

Answer:

(1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x + (x - 3) = 2Combine like terms:           5x - 3 = 2Isolate x term:                     5x = 5Isolate x:                              x = 1

Step 3: Solve for y

Define equation:                    y = x - 3Substitute in x:                       y = 1 - 3Subtract:                                 y = -2
(1,-2) is the ordered pair
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