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2 years ago

31. The angle measures of a triangle are 28°, 70°, and 82°. Classify the triangle by its angle measures.

Mathematics

1 answer:

ZanzabumX [31]2 years ago

4 0

Answer:

Acute scalene triangle

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option B. AA

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by AA theorem.

So, correct answer is option B. AA

7 0

3 years ago

What is the scale factor from ABC to DEF?

ollegr [7]

Answer:

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = $\frac{EF}{BC}$ = $\frac{11}{66}$ = $\frac{1}{6}$ → C

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3 years ago

20% of the size of the side angle

den301095 [7]

Can you explain your question?

8 0

3 years ago

Find the square root of : √50×8 = ___ Please show steps....

Sav [38]

Your answer would be 20.. the square root of 50 is 7.07106781187 x by 8

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3 years ago

A zoo has a circular pool for its seals. The diameter of the pool is 32 feet. Formulas Hide calculator ⇐Clear789/456*123-0.=+ Se

sveta [45]

9.85 square feet. 32/2=16 16*3.14^2=9.85

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3 years ago