Answer:
∠ PQR = 55°
Step-by-step explanation:
∠ QPR = 74° ( vertical angles )
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180°
∠ PQR = 180° - (74 + 51)° = 180° - 125° = 55°
<u>Step-By-Step Solution for Part 1:</u>
- 3(4p + 2) = 12p + 6
- => (3 x 4p) + (3 x 2) = 12p + 6
- => 12p + 6 = 12p + 6
Answer: Equivalent
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<u>Step-By-Step Solution for Part 2:</u>
Answer: Equivalent
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<u>Step-By-Step Solution for Part 3:</u>
- 2y + z² = y x y + z + z
- => 2y + z² = y² + 2z
<u>[Replacing y as 2 and z as 3]</u>
- => 2(2) + (3)² = (2)² + 2(3)
- => 4 + 9 = 4 + 6
- => 13 ≠ 10
Answer: Not Equivalent
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<u>Step-By-Step Solution for Part 4:</u>
15n + 5 = 5(3n + 1)
=> 15n + 5 = (5 x 3n) + (5 x 1)
=> 15n + 5 = 15n + 5
Answer: Equivalent
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Answer: Simplifying
Step-by-step explanation:
Simplifying
4x + 6y = 12
Solving
4x + 6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
4x + 6y + -6y = 12 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 12 + -6y
4x = 12 + -6y
Divide each side by '4'.
x = 3 + -1.5y
Simplifying
x = 3 + -1.5y
Then you get your answer I think or hopeful get your answer. I hoped this helped!
First you distribute the -12 to the (x+5) getting 144=-12x-60.
Next you add 60 to each side getting 204=-12x
Then you divide each side by -12 getting -17=x, which is the answer.<span />