What is the measure of A. Cannot be determined B. 74 C. 16 D. 32

Mathematics

1 answer:

Levart [38]3 years ago

3 0

The answer would be D. 32

Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal.

Therefore, angle C is also 74°.

The sum of the interior angles of a triangle is equal to 180°.
Thus,
180° = ∡A + ∡B + ∡C
180° = 74° + ∡B + 74°
180° = 148° + ∡B
∡B = 180° - 148°
∡B = 32°

You might be interested in

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$