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2 years ago

What does d equal ??

Mathematics

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer:

Step-by-step explanation:

∠IHE and ∠GHF are vertical angles.

Vertical angles have the same measures (are congruent).

Therefore, if m∠IHE = d + 44 and m∠GHF = 4d - 25, then we have the equation:

d + 44 = 4d - 25 <em>subtract 44 from both sides</em>

d + 44 - 44 = 4d - 25 - 44

d = 4d - 69 <em>subtract 4d from both sides</em>

d - 4d = 4d - 4d - 69

-3d = -69 <em>divide both sides by (-3)</em>

-3d/(-3) = -69/(-3)

d = 23

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Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

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$\frac{1}{10}=\frac{x}{40}$

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$x=(40)\frac{1}{10}$

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Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

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Let

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$z^{2}=\frac{x}{y}$

we have

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What does d equal ?? ​

What does d equal ??