Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Answer:
1/2
Step-by-step explanation:
3/6 = 1/2
Find the amount of the discount and divide by the original price:
30-20 = 10
10/30 = 0. 333
Multiply by 100 for percent:
0.333 x 100 = 33.3333%
Round the answer as needed.
(5x - 18) - 4x = -36
Let's solve your equation step-by-step.
5x − 18 − 4x = −36
Step 1: Simplify both sides of the equation.
5x − 18 − 4x = −36
5x + −18 + −4x = −36
(5x + −4x) + (−18) = −36 (Combine Like Terms):
x + −18 = −36
x − 18 = −36
Step 2: Add 18 to both sides.
x − 18 + 18 = −36 + 18
x = −18
Answer: ========> x = -18 is the number
Hope that helps!!!! : )
Answer:
answer = -13
Step-by-step explanation:
number = x
x - 8 = -21
x = -21 + 8
= -13
Recheck :
num = - 13
decreased by 8 = - 13 -8 = -21
