Which of the following theorems verified that angle xyz is congruent too angle uwv?

Mathematics

1 answer:

icang [17]3 years ago

3 0

Answer:

Option B. AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

In the triangle XYZ

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

In the triangle UWV

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

You might be interested in

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)). (1 point) −7 −3 10 33

qwelly [4]

Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:

f(x) = x + 8
g(x) = x^2 - 6x - 7

f(g(x) = x^2 - 6x - 7 + 8
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7

Therefore, the correct answer is -7.

6 0

3 years ago

Monica estimates the recipe makes about 5 cups of fruit salad. Which explanation describes whether Monica's estimate is reasonab

Darya [45]

Answer:

Step-by-step explanation:

Not reasonable, Why did you put that as your answer?

The whole numbers add up to more then 4 cups.

5 0

3 years ago

Hello, I need help with this, you can put the operation (1/2) +7 + (- 2) + (- 3/2) +2

Otrada [13]