Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°
Answer:
x = 8
Step-by-step explanation:
5(x-2)=30
Distribute
5x- 10 = 30
Add 10 to each side
5x-10+10 = 30+10
5x= 40
Divide by 5
5x/5=40/5
x = 8
Answer:
2
Step-by-step explanation:
6, because there's 3 types of even die and you're rolling it 44 times, or 6 times per number
Answer:
1. 1/8 ÷ 3/4 = 1/6
2. 3/5 ÷ 3/2 = 2/5
3. 4/1 ÷ 2/3 = 6
4.9/4 ÷ 6/5 = 15/8
5.22/4 ÷ 2/5 = 261/80
Step-by-step explanation:
Hope this Helped
Answer:
f/c
Step-by-step explanation:
it is bcs 913/4 and the same concept is used
