Question

Can someone please help me with math.

Answer 1

5. B) 55

6. D) 15

Explanation:

5.

One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.

90 + x + 35 = 180

Simplify,

125 + x = 180

Inverse operations,

x = 55

6.

This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

`a^2+b^2=c^2`

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

`(9)^2 +(12)^2 = (c)^2`

Simplify,

`81+144=c^2\\\\225=c^2`

Inverse operations,

c = 15