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4 years ago

Are the two triangles similar?

Mathematics

1 answer:

Tpy6a [65]4 years ago

4 0

Answer:

Option B Yes by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

$\frac{HM}{MK}=\frac{GM}{MJ}$

substitute the values and verify

$\frac{8}{12}=\frac{6}{9}$

simplify

$\frac{2}{3}=\frac{2}{3}$ -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent

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Read 2 more answers

In triangle QRS QT=5 and TS=22 what is RT? Explain!!

Anton [14]

Answer:

$\large\boxed{RT=\sqrt{110}\approx10.49}$

Step-by-step explanation:

ΔTQR and ΔTRS are similar (AA). Therefore the sides are in proportion:

$\dfrac{RT}{QT}=\dfrac{TS}{RT}$

We have QT = 5m ans TS = 22m. Substitute:

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4 years ago

The measure of an exterior angle of a regular polygon is 72°. How can you find the measure of an interior angle of the polygon?

madam [21]

Answer:

Option C) Subtract 72° from 180°

Step-by-step explanation:

We are given the following in the question:

Measure of exterior angle = 72°

Properties of exterior angles:

An exterior angle of a polygon is an angle at a vertex of the polygon but outside the polygon.
It is formed by one side and the extension of an adjacent side.
The interior and exterior angles are supplementary.
Thus, the sum of the interior angle and the exterior angle is 180 degrees.
All the exterior angles of a regular polygon are equal in measure.

Thus, we can write:

Let x degrees be the measure of the interior angle. Thus, we can write:

$x + 72 = 180\\x = 180-72 = 108^\circ$

The measure of the interior angle is 108 degrees.

Thus, the correct answer is:

Option C) Subtract 72° from 180°

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3 years ago