An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?

The measures of the other interior angles are 15° and 105°

Step-by-step explanation:

The given parameter of the measures of the interior angles of the triangle are;

The measure of one of the interior angle of the triangle = 60°

The ratio of the measure of the other interior angles = 1 : 7

Let the x represent one of the other interior angles and y represent the third interior angle, we have;

x + y = 180 - 60 = 120

x : y = 1 : 7

x = 1 part of 8 parts of 120°

y = 7 parts of 8 parts of 120°

Therefore;

x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°

x = 15°

y = 7/(1 + 7) = 7/8 × 120° = 105°

y = 105°

The measures of the other interior angles are 15° and 105°.

on your paper it doesn't say the answer but the the answer is altitude

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.