Answer:
4x= 40
Step-by-step explanation:
40/4 = 10
Answer:
y=50
x=60
Step-by-step explanation:
x= 180-(50+70)
x=60
y=50
Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
Answer:
y = -0.3x + 103
Step-by-step explanation:
✔️Find the slope (b):
Slope = ∆y/∆x
Using, (25, 95.5) and (35, 92.5),
Slope (m) = (92.5 - 95.5)/(35 - 25) = -3/10 = -0.3
✔️Find the y-intercept (b):
Substitute (x, y) = (25, 95.5) and m = -0.3 into y = mx + b
95.5 = -0.3(25) + b
95.5 = -7.5 + b
95.5 + 7.5 = b
103 = b
b = 103
✔️To write the equation, substitute m = -0.3 and b = 103 into y = mx + b
Thus:
y = -0.3x + 103
Answer:
x = 23
y = 7
z = 11
Step-by-step explanation:
Since ∆PRS ≅ ∆CFH, therefore,
m<R = m<F
13y - 1 = 90° (substitution)
Add 1 to both sides
13y - 1 + 1 = 90 + 1
13y = 91
Divide both sides by 13
13y/13 = 91/13
y = 7
Since ∆PRS ≅ ∆CFH, therefore,
PS = CH
2x - 7 = 39 (substitution)
Add 7 to both sides
2x - 7 + 7 = 39 + 7
2x = 46
Divide both sides by 2
2x/2 = 46/2
x = 23
Since ∆PRS ≅ ∆CFH, therefore,
m<S = m<H
Find m<S
m<S = 180 - (m<P + m<R) (sum of ∆)
m<S = 180 - (28 + (13y - 1)) (substitution)
Plug in the value of y
m<S = 180 - (28 + (13)(7) - 1))
m<S = 180 - (28 + 91 - 1)
m<S = 180 - 118
m<S = 62°
Therefore, since m<S = m<H,
62° = 6z - 4 (substitution)
Add 4 to both sides
62 + 4 = 6z - 4 + 4
66 = 6z
Divide both sides by 6
66/6 = 6z/6
11 = z
