Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

[tex]\blue{———hope it helps———}[/tex]

[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]

[tex]the \: answer \: is \: \frac{1}{10} [/tex]

The value of x will be equal to 14 units.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Since the two triangles are congruent so the value of x will be calculated as:-

2x  -  9  =  x  +  5

2x  -  x  =   9  +  5

x  =  14

Therefore the value of x will be equal to 14 units.

Learn more about congruency at

brainly.com/question/14418374

#SPJ1

Answer:

1.875

Step-by-step explanation:

the average rate of change of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

here [a, b ] = [- 1, 3 ] , then

g(b) = g(3) = 2³ + 1 = 8 + 1 = 9

g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5

then

average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875

[tex]\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}\:\:\:\rule{60}{1}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]

         Which of the statements below are true for linear functions?

         Select all that apply.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

       The general equation for linear functions is [tex]\bold{y=mx+b}[/tex].

The equation [tex]\bold{y=ax^2+bx+c}[/tex] is the general equation for quadratic functions.

The equation [tex]\bold{y=ab^x}[/tex] is the general equation for exponential functions.

Linear functions don't have a vertex, they have slope (m) and y-intercept (b).

One way we can define the slope of a linear function is

[tex]\bold{Slope=\dfrac{Rise}{Run}}[/tex]

So we conclude that the right options are

[tex]\square\!\!\!\!\checkmark[/tex] The general equation is y=mx+b.

[tex]\square\!\!\!\!\checkmark[/tex] The slope of the graph is constant and can be defined as rise over run.

[tex]\rule{300}{1}[/tex]

Answer:

A layer of granite

Step-by-step explanation:

This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.

The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We get;

An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.

After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.

Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.

In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.

Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

99

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder

This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3

Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.

Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the  two cones and the cylinder

Read more about volume of spheres here:

https://brainly.com/question/12527681

#SPJ4

Answer: B

Step-by-step explanation: just did it

Step-by-step explanation:

Converting 20 minutes into second....

20 × 1 minute

20 × 60 seconds

1200 seconds...

Answer:

girl good luck I cant even do that.

Answer:

a: 44%

(11×100)÷25=44

b: 3

2×4=8

3×1=3

8+3=11

14-11=3

16. PM = 26x + 8x^2y

A = 52x^3y

17. Area = 33a^5b

Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.

This question does not have the relevant data attached so I will use a similar question.

The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:

= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years

= (162 - 40 - 76) / 162

= 0.531

Find out more on probability at https://brainly.com/question/251701.

#SPJ4

Answer:

4√ 2

Step-by-step explanation:

2x^2=64 and  x^2 = 32 so x= 4√ 2

Answer:

1/21

Step-by-step explanation:

there are 7 songs total

3 rock sounds, 2 reggae songs and 2 country songs

probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

probability of choosing a country song first time = # of country songs / # of total songs

# of country songs = 2

total # of songs= 7

so probability of picking a country song = 2/7

if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country

probability of choosing country song second time

again probability = # of country songs / total # of songs

here there are only 6 songs total and 1 of them are country

so probability = 1/6

we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time

first probability = 2/7

second probability = 1/6

total probability = 2/7 × 1/6 = 1/21

The maximum percentage of individuals who own a bike is 21.5%.

Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.

The maximum percentage = margin of error + true value

(1/5) x 100 + 1.5% = 21.5%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ4

Answer:

See image

Step-by-step explanation:

Plato

What is the length of the triangular prism is 3.7

259 / 10 = 25.9

25.9 / 7

= 3.7

The above is not a function because -2 is mapped to two elements 2 and -4.

A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.

The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).

In other words, one element must be mapped to another element.

Each element cannot be mapped to two elements.

Therefore, the above is not a function.

learn more on function here: https://brainly.com/question/12431044

#SPJ1

Answer:

  B.  95°

Step-by-step explanation:

Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.

__

  j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle

  J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J

  J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)

  J ≈ 94.797° ≈ 95°

The measure of angle J is about 95°.
_____

Additional comment

Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)

Answer:

π^8

Step-by-step explanation:

π^30/π^22= π^8

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]

If Liza takes 120 steps, then the number of the step taken by Pete will be

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Answer:

it's probably 58 and 64 just a random guess but I think all triangles add up to 180

The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.

Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.

Learn more about standard form from

https://brainly.com/question/19169731

SPJ1

Answer: y = 2x - 11

Step-by-step explanation:

A linear equation has the following form.

y = a . x + b

where,

y: independent variable

a: slope

x: independent variable

b: y-intercept

The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.

y = a . x + b

-3 = 2 . 4 + b

b = -11

The linear equation is

y = 2x - 11

Answer:

C. is the correct option

Step-by-step explanation:

When we find the equation using the point and slope formula, we get y=-3x+10

As you can see, that doesn't match any of the answers, since it is in the point-slope formula.

We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.

For this equation, we will distribute the 3, and then add 4 to both sides.

y-4=-3(x-2) --->  y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10

This leads back to the original equation so we know it is correct.

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

To learn more on Equation click here:

https://brainly.com/question/10413253

#SPJ3

Answer 27 in^2:

Step-by-step explanation:

height= 6 cm

radius= 4 cm

the volume of the given cylinder.

[tex]v = \pi {r}^{2} h[/tex]

[tex]in \: terms \: of\pi = {r}^{2} h[/tex]

[tex]v = {4}^{2} \times 6[/tex]

[tex]v = 96\pi \: {cm}^{3} [/tex]

Answer:

[tex](f - g)(x) = x^2 + 4x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]

[tex]= 2x^2 -5 -x^2 +4x+8[/tex]           ----------> distribute

[tex]= x^2 +4x +3[/tex]  ------------> combine like terms

Therefore, Option B is the correct answer.

she will need 18 boxes total :)