40 points. given: two congruent angles ∠c and ∠r are supplementary. prove: ∠r and ∠c are both right angles. it doesn't have to be exactly 10 rows. statements reasons1. 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10.

The proof is explained step-wise below :

Step-by-step explanation:

Given : ∠C and ∠R are supplementary. Also, ∠C and ∠R are congruent

To Prove : ∠C and ∠R are right angles ⇒ ∠C = ∠R = 90°

Proof : Given ∠C and ∠R are congruent and the congruent angles are equal in measure.

⇒ m∠C = m∠R (1)

Now, ∠C and ∠R are supplementary

⇒ ∠C + ∠R = 180°

⇒ ∠C + ∠C = 180°   ( From equation (1) )

⇒ 2∠C = 180°

⇒ ∠C = 90°

Hence, ∠C = ∠R = 90°

⇒ ∠C and ∠R both are right angles.

Hence Proved.

ok

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.