Given that M is the midpoint of VW, what is the length of line segment VM?

Scale Factor to go from F to G = 3/4

Scale Factor to go from G to F = 4/3

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

Explanation:

Note the sides labeled 4 and 3 are both opposite the angles that have two tickmarks. Therefore, these two sides correspond to one another.

Because of the similar triangles, the corresponding sides are in proportion. The scale factor is 3/4 meaning the smaller triangle has side lengths 3/4 as large compared to the larger triangle.

Put another way, we have a 25% reduction in the side lengths because 3/4 = 75% and 100% - 75% = 25%

So far, all of this applies when figure F is the preimage and G is the image. If we reverse things, then apply the reciprocal to 3/4 to get 4/3. Now G is the preimage and we go from smaller to larger.

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Side notes:

The required scale factor for the given transformation is given as 3/4.

Given that,
Two triangles have been shown, is to discuss the transformation and scale factor of the triangle.

The scale factor is defined as the ratio of modified change in length to

Here,
The given figures are similar in shape but not in size,
If the shapes is similar then the ratio of the corresponding sides describes the scale factor between the figures,
So,

Ratio of side = 3 / 4

Thus, the required scale factor for the given transformation is given as 3/4.

Learn more about Scale factors:

https://brainly.com/question/22312172

#SPJ2

Answer:

$18

Step-by-step explanation:

Given:

y = 0.9x - 4.5

Where,

x = age in years

y = hourly pay in dollars

what is the best prediction for the hourly pay of a 25 year old?

That is, find y when x=25

y = 0.9x - 4.5

= 0.9(25) - 4.5

= 22.5 - 4.5

= 18

y = $18

The prediction for the hourly pay of a 25 year old is $18

Answer:

$18:00

Step-by-step explanation:

Thank You To The Guy Above Me

Answer:

  9 3/4

Step-by-step explanation:

Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.

10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4

= 10 -1/4

= 9 3/4

__

Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.

10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)

= 10 3/4 -1

= 9 3/4

_____

We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.

Answer:

n = ±6

Step-by-step explanation:

n² + 4 = 40

n can be solved by finding the square root

n²  = 40 - 4

n²  = 36

n = √36

n = ±6

Answer:

AA Theorem

Step-by-step explanation:

In order to prove AB/AE = AC/AD, we need to prove that the triangles are similar. The AA Theorem says that if two triangles share two congruent angles, then the triangles are similar. The given states that ∠ABE ≅ ∠ACD, which means these two angles are congruent.

For the second angle, both triangles have the angle by point A. These angles can be written as ∠A ≅ ∠A. These angles are congruent because of the reflexive property.

Because we have proven these triangles to be simliar, we know the proportion AB/AE = AC/AD is correct because corresponding sides of similar triangles are proportional.

Answer:

A. △ABC and △JKL are similar.

Step-by-step explanation:

Since three angles of one triangle are congruent to three corresponding angles of the other triangle, the triangles are either congruent or similar. Since the side of one triangle is twice the length of the corresponding side of the other triangle, then the triangles are not congruent, but they are similar.

A. △ABC and △JKL are similar.

Answer:

. △ABC and △JKL are similar.

Step-by-step explanation:

Answer:

x = 2

AB = 15

BC = 15

AC = 30

Step-by-step explanation:

Given that B is the midpoint of AC, then AB = ½ of AC.

AB is given as 3(3x - 1),

AC = 5(2x + 2),

Therefore:

[tex] 3(3x - 1) = \frac{1}{2}*5(2x + 2) [/tex]

Solve for x

[tex] 9x - 3 = \frac{5}{2}(2x + 2) [/tex]

Multiply both sides by 2

[tex] 2(9x - 3) = \frac{5}{2}(2x + 2)*2 [/tex]

[tex] 18x - 6 = 5(2x + 2) [/tex]

[tex] 18x - 6 = 10x + 10 [/tex]

[tex] 18x - 10x = 6 + 10 [/tex]

[tex] 8x = 16 [/tex]

Divide both sides by 8

[tex] x = 2 [/tex]

[tex] AB = BC = 3(3x - 1) [/tex]

Plug in the value of x

[tex] AB = BC = 3(3(2) - 1) [/tex]

[tex] = 3(6 - 1) = 3(5) = 15 [/tex]

[tex] AC = 5(2x + 2) [/tex]

[tex] AC = 5(2(2) + 2) [/tex]

[tex] AC = 5(4 + 2) = 5(6) = 30 [/tex]

Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

When you subtract for both of the ranges they are different numbers. So that's the second part. The numbers along the bottom are different too so that is the different distributions.

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

The shape of the data for German male adult heights is skewed left, but the shape of the data for female adult heights is close to symmetric. So, the two data sets have different distributions.

Each data set has the same minimum height of 145 centimeters. However, the maximum male adult height is 220 centimeters, and the maximum female height is 185 centimeters. So, the two data sets have different ranges.

Answer:

Step-by-step explanation:

In this problem we must first of all write the inequality that describes the problem.

Given that

1. you have a limit of $400

2. there is an initial fee of $50

3. monthly payment is $45

let the number of months be n

therefore

[tex]50+45n\leq 400\\\\45n\leq 400-50\\\\45n\leq350[/tex]

Divide both sides by 45 we have

[tex]n\leq \frac{350}{45} \\\\n=\frac{70}{9} \\\\n= 7.77\\\\[/tex]

approximately you are going to be member for 8 months

Answer:

m = 7/2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Identify 2 coordinates

(-3, 3)

(-5, -4)

Step 2: Plug into formula

m = (-4 - 3)/(-5 + 3)

m = -7/-2

m = 7/2

Answer:

over 5 x + 4 over 3 = 2x

can't find x

Hi McDa:

Here's a couple hints. (I have no idea what you already understand. Please check out our posting guidelines.)

Express the Natural number 3 in Rational form 3/1.

4

5

x

+

4

3

1

=

2

x

Regarding the left-hand side above, have you learned the property that says we may multiply by the reciprocal of 3/1, instead of dividing by 3/1?

Step-by-step explanation: Incorrect? Let me know!

Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

174 seconds.

Step-by-step explanation:

So there was a total of 7 songs.

And it took a total of 20 minutes and 18 seconds to play them all.

20 minutes and 18 seconds is the same as 20(60)+18=1218 seconds.

Thus, the average number of seconds per song was:

[tex]1218/7=174[/tex]

174 seconds,

or about 2 minutes and 54 seconds.

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

Answer:

x ≤ 3

Just took the assignment, i hope you have a good day :)

Answer:

D.x ≤ 3

Step-by-step explanation:

Answer:

Graph 2 contains a function, but graphs 1 and 3 do not (1st Option).

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. Every x-value must have it's own y-value.

This means that 2 different y-values cannot have the same x-value.

Answer: 25.6

Step-by-step explanation: Have an Amazing Day :)

Answer:

25.6 this will be the answer

Step-by-step explanation:

Hope it helps

Answer:

Step-by-step explanation:

hello :

the x interception for Y=2x +7 when Y=0  means : 2x +7=0

so   x = -7/2

Complete question:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

0.005377 peope/m²

Step-by-step explanation:

Given that :

Population density of Rio in 2016 = 5377 people/km²

To obtain population density in people per square meter, we convert 5377people/km² to people per m²

Recall:

1000 m = 1km

Hence,

5377 people/km² = 5377 people / (1000²)m

= (5377/1000000)people/m²

= 0.005377 peope/m²

Answer:

0.005377

Step-by-step explanation:

KHAn

Answer:it would be 3 1/4 pounds of blueberries

Step-by-step explanation:

Answer: 3 - x

Step-by-step explanation: With

Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.

Answer:

Step-by-step explanation:

Since ∆ ABC is a triangle the sum of it's angles add up to 180°

In order to find x we must first find [tex]\angle[/tex] AED

Let [tex]\angle[/tex] AED = E

To find [tex]\angle[/tex] AED add up all the angles in the triangle and equate it to 180°

That's

35 + 90 + E = 180

125 + E = 180

E = 180 - 125

E = 55°

E and x lie on a straight line

So we have

x + 55 = 180°

x = 180 - 55

Hope this helps you

Answer:

Step-by-step explanation:

1. Finding  [tex]\overrightarrow{AB}[/tex]  (or [tex]\overrightarrow{BA}[/tex]):

[tex]\overrightarrow{AB}=\overrightarrow{OA}-\overrightarrow{OB}= \left[\big5\atop\big3\right]-\left[\big2\atop-\big5\right]= \left[\big5-\big2\atop\big3-(-\big5)\right]=\left[\big3\atop\big8\right][/tex]

2. Calculating length of  [tex]\overrightarrow{OA}\,,\ \overrightarrow{OB}\ \text{and}\ \overrightarrow{AB}[/tex]:

[tex]|\overrightarrow{OA}|=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}\approx5.831\\\\ |\overrightarrow{OB}|=\sqrt{2^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}\approx5.385\\\\ |\overrightarrow{AB}|=\sqrt{3^2+8^2}=\sqrt{9+64}=\sqrt{73}\approx8.544[/tex]

3. Calculating perimeter:

[tex]P=|\overrightarrow{OA}|+|\overrightarrow{OB}|+|\overrightarrow{AB}|=\sqrt{34}+\sqrt{29}+\sqrt{73}\approx5.831+5.385+8.544=19.76[/tex]

Answer:

-4 + 2b

Step-by-step explanation:

Simplify the expression.

−4  +  2b

I hope this helped you!