What is the value of a?
5 units
5 1/3 units
6 2/3 units
7 units

Step-by-step explanation:

In this problem we have to use the altitude theorem in a right triangle, because the segment in it, it's an altitude.

This theorem states that:

Where is the altitude, one of the parts of the divided side by the altitude, and is the other part.

Applying this theorem, we have:

Therefore, the right answer is the second option.

The answer is 5 1/3 units.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.