Answer:
x = -6/5
Step-by-step explanation:
distribute -4 on the left side of the equation first, then distribute 2 on the right side of the equation to get:
16x - 4 - 4x = 2x - 14 - 2
combine 'like terms':
12x - 4 = 2x - 16
subtract '2x' from each side to get:
10x - 4 = -16
add 4 to each side to get:
10x = -12
x = -12/10 or x = -6/5
He was not supposed to simplify. He could have multiplied straight across and got 12/63 and he would simplify that which would be 4/21 im thinking
If two positive angles have a sum of 180 degrees, they are called supplementary angles.
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
