Answer:
45
Step-by-step explanation:
Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.
m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1
The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.
m(arc)EVL + m(arc)EHL = 360
m(arc)EVL = 360 - m(arc)EHL Eq. 2
We are given this:
m<EYL = (1/3)m(arc)EHL Eq. 3
Substitute equations 2 and 3 into equation 1.
(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]
Now we have a single unknown, m(arc)EHL, so we solve for it.
2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]
2m(arc)EHL = 1080 - 6m(arc)EHL
8m(arc)EHL = 1080
m(arc)EHL = 135
Substitute the arc measure just found in Equation 3.
m<EYL = (1/3)m(arc)EHL
m<EYL = (1/3)(135)
m<EYL = 45
Answer:
it is the first one
Step-by-step explanation:
Answer:
130.
Step-by-step explanation:
18 + 4(28(
= 18 + 4 * 28 Multiplication is done before addition so we have:
18 + 112
= 130.
Answer:
5½ inches
Step-by-step explanation:
7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½
Answer:
17. a)
Step-by-step explanation:
17.
f(x) =x/2, then f(x-3)=(x-3)/2
x=3, f(x-3)=f(3-3)=f(0)=0 (values in table)
f(x-3)+3=0+3=3
18.
f(x) =x/2
f(x-2) for x=5 is f(5-2)=f(3)=3/2
f(x-2)+5=f(3)+5=3/2+5=3/2+10/2=13/2
