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2 years ago

Find the scale factor between each pair of similar shapes

Mathematics

1 answer:

Vsevolod [243]2 years ago

7 0

Answer:

Step-by-step explanation:

For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor. A scale factor of 2 means that each side of the larger figure is twice as long as its corresponding side is in the smaller figure.

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Which one should I choose?

Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

$m\angle 1=90^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$90^\circ+65^\circ+m\angle 2=180^\circ$

$155^\circ+m\angle 2=180^\circ$

$m\angle 2=180^\circ-155^\circ$

$m\angle 2=25^\circ$

Therefore, the correct option is C.

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2 years ago

X/2-1/5=x/3+1/4<br>solve this equation

Alekssandra [29.7K]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

$\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}$

$-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}$

$-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}$

$\frac{x}{6}=\frac{9}{20}$

$\frac{6x}{6}=\frac{9\times \:6}{20}$

$x=\frac{27}{10}$

3 0

3 years ago

Read 2 more answers

Find the rate of change and initial value. Y=mx+b

tekilochka [14]

Y= 4/5 x + 24
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24

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2 years ago

Solve for x<br><br> 0.25x=10

Ad libitum [116K]

X=40 hope this helps nig

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3 years ago

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A music store has 500 guitar picks. They order 15 boxes with 9 picks each. They sell 19 boxes that have 10 picks each. The store

weqwewe [10]

Answer:

yes

Step-by-step explanation:

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2 years ago

Find the scale factor between each pair of similar shapes ​

Find the scale factor between each pair of similar shapes