Answer:
m<F = 95°
Step-by-step explanation:
We'll begin by calculating the value of x. This can be obtained as follow:
m<C = 50
m<A = (10x – 5)
m<B = m<G = (2x + 15)
m<C + m<A + m<B = 180 (Sum of angles in a triangle)
50 + (10x – 5) + (2x + 15) = 180
50 + 10x – 5 + 2x + 15 = 180
50 – 5 + 15 + 10x + 2x = 180
60 + 12x = 180
Collect like terms
12x = 180 – 60
12x = 120
Divide both side by 12
x = 120 / 12
x = 10
Finally, we shall determine the value of m<F. This can be obtained as follow:
m<F = m<A
But
m<A = 10x – 5
x = 10
Therefore,
m<F = 10x – 5
m<F = 10(10) – 5
m<F = 100 – 5
m<F = 95°
12 x 31
2×1 = 2
1×1 = 1
Add a placement zero
3×2 = 6
3×1 = 3
Sorry if I’m not right and please look at the photo!
I'll be referring to each of these numbers as x and y.
x + y = 4
(x^2) + (y^2) - 3(x)(y) = 76
x = 4 - y
(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76
(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76
16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76
16 - 20y + 5y^2 = 76
5y^2 - 20y - 60 = 0
y^2 - 4y - 12y = 0
(y - 6)(y + 2) = 0
y = 6 or -2
x = 4 - 6 = -2
x = 4 - - 2 = 6
As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.
x = -2
y = 6
6 - 2 = 4
4 = 4
(-2)^2 + (6^2) - 3(-2)(6) = 76
4 + 36 - 3(-12) = 76
40 + 36 = 76
76 = 76
Hope this helps!
Answer:
12.22
Step-by-step explanation:
Use arc length formula in degrees
(70/360) x 2 x pi x 10