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3 years ago

Find the value of y in the right triangle below. A. 40 B. 90 C. 30 D. 50

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

5 0

Answer:

A. 50

Step-by-step explanation:

Sum of interior angles of a triangle is always =180 °

Since this is a right triangle, therefore we know that one angle of the triangle measures 90°

Therefor sum of other two angles has to be = $180\°-90\°=90\°$

One angle measures = 40°

Therefore the missing angle $y=90\°-40\°=50\°$

$y=50\°$

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Find the length of EF

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Answer:

Step-by-step explanation:

1. First, we need to set up an equation to find the value of x and then the length of EF.

2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of: $3x - 28 + 3x - 30 + x = 33$

3. (Solving for x)

Step 1: Simplify both sides of the equation.

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Step 2: Add 58 to both sides.

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Step 3: Divide both sides by 7.

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3 years ago

Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw

GalinKa [24]

Answer:

5.6875 in

Explanation:

At the point of tangency, the tangent to a circle and the radius form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

The length of the tangent (6 in) is one leg of the triangle
The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
The other leg is the radius, r.

Then, you can use Pythagorean theorem: