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3 years ago

Using the diagram below, which of the following proportionality statements are true? Select all that apply.

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

The proportionality statement which is true is;

(B) $\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$

Step-by-step explanation:

From the diagram, given that the two pentagons are similar, we have;

1. $\dfrac{DH}{D'H'} = \dfrac{EF}{E'F'}$

2. $\dfrac{DE}{D'E'} = \dfrac{GH}{G'H'}$

By similarity of the two polygons, we can get the following statements from among the options;

3. $\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$

Therefore, the proportionality statement which is true from the given is the statement;

$\dfrac{G'H'}{GH} = \dfrac{E'F'}{EF}$

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Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

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there are 3 liters of orange juice at a school party. 10 students want to drinkable of the orange juice, and they all want to ge

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Answer:

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Dmitry_Shevchenko [17]

Answer:

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3 years ago

An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows

Vlada [557]

Here we are required to determine the initial monthly fee charged by the electric company.

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To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

where m = slope of the relation.

and c = intercept = the initial fee charged by the electric company.

y = Monthly charge at each time.

x = Usage

To find the slope;

m = (y2 - y1)/(X2 - x1)

m = (28 -22)/(150 - 100)

m = 6/50

m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

82 = 0.12(600) + c.

C = 82 -72

C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

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Given:

V125BC [204]

Answer:

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