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°
The answer is B. because if you make an equation in the form y=mx+b then you can solve the equation by inputting x where x goes in the equation and solving. BTW the equation would be y=2x-1
Y = a x² + b x + c
y = 0.0473809524 · 20² + 2.221428571 · 20 - 0.005952381 =
= 18.95236 + 44.42875 - 0.05952381 = 63.374978 ≈ 63.4
Answer: C ) 63.4 ft.
Answer:
3 11/20 miles
Step-by-step explanation:
Monday = seven -quarters of a mile
= 7/4 miles
Tuesday = nine-fifths of a mile
= 9/5 miles
How many miles did she ride altogether?
Total miles she rode altogether = Monday + Tuesday
= 7/4 + 9/5
= (35+36)/20
= 71/20
= 3 11/20
Total miles she rode altogether = 3 11/20 miles
