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
h = t - 15
h + t = 33
Because we have a value of h, we can plug it into the second equation to solve for t.
t - 15 + t = 33
Add 15 to both sides.
t + t = 48
Combine like terms.
2t = 48
Divide both sides by 2.
t = 24
<h3>Thomas's age is 24.</h3>
Answer:
The Integer is -17
Step-by-step explanation:
This is because you must subtract the cost of the shoes from her account
28 - 45 is equal to negative 17
0.75^2 = 0.5625.....sq rt 0.5625 = 0.75
X would be less than 6 2/3.
