Theorem: An angle congruent to a right angle is right. (a.) Rewrite this theorem as an if-then statement.

If a angle is congruent to a right angle, then it is right.

(b.) Fill in the blanks below to prove this theorem.

Given: ∠ A is right
∠B ≅ ∠A
Prove: ∠ B is right
Statement Reason
1. ∠ A is right;

∠B ≅ ∠A

1.
given
2. m ∠ B = m ∠ A 2.
3. m ∠ A = 90º 3.
Transitive property of equality
4. m ∠ B = 90º 4. Transitive Property of Equality
5.
B is right
5.

idk need the points

Step-by-step explanation:

srry its for a good reason

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .