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:
5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34
5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one
Step-by-step explanation:
Answer:
265.2
Step-by-step explanation:
3(6*13)=234
2*15.6=31.2
234+31.2=265.2
C = # of carpenter hrs , b = # of blacksmith hrs
c + b = 30...c = 30 - b
20c + 25b = 690
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith
c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter
Answer: I got 32
Step-by-step explanation:
I got 32
