Answer:
x = 25
Angle B = 65 degrees
Angle C = 50 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees.
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
Subtract both sides by 55
5x = 125
Divide both sides by 5
x = 25
Plug in the value for x in angle B:
3(25) - 10
75 - 10
65
Do the same for angle C:
2(25)
50
Check your work:
65 + 65 + 50 = 180
180 = 180
Correct
Answer:
Step-by-step explanation:
A. In each drawing, the odds of choosing green is 7 / (7 + 13 + 9) = 7/29
with replacement, the odds in each drawing are the same
7/29•7/29•7/29 = 7³/39³ = 343 / 24,389
B.
Odds of drawing all non black balls is the sum of odds of drawing the following possible patterns
ggg + ggr + grg + rgg + rrg + rgr + grr + rrr
(7•6•5 + 7•6•9 + 7•9•6 + 9•7•6 + 9•8•7 + 9•7•8 + 7•9•8 + 9•8•7) / 29•28•27 = 3,360/21,924
4 * side^2 = diagonal1 ^2 + diagonal2 ^2
4 * side^2 = 24^2 + 10^2
4 * side^2 = 576 + 100
4 * side^2 = 676
side^2 = 169
side = 13
So, the perimeter of this rhombus = 4 * 13 = 52 cm
Remove the radical by raising each side to the index of the radical. a = √ 3 , − √ 3 a=3,-3 a ≈ 1.73205080 , − 1.73205080
