the answer is 16 because .80 times 20 is 16
Answer: Michael is 72.
hope this helps
Step-by-step explanation:
Let Brandon be b. Then Michael is 3g.
3g-18=9(b-18)
3g-18=9g-162
6g=144
b=24
3g=72
Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Answer:
Inscribed angle theorem
Step-by-step explanation:
This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°, because segment LN is the diameter of the circle. Then, by the theorem:
∠LMN = (1/2)*arc LN = (1/2)*180° = 90°
< BAC = 50
< BCA = 90
interior angles of a triangle add up to 180
so < ABC = 180 - (90 + 50) = 180 - 140 = 40
and < ABC = < CDE.......so < CDE = 40 <===
