Define the angle y as shown in the figure below.
The sum of angles on one side of a straight line is 180°.
Therefore
y + 75 = 180
x = 180 - 75 = 105°
The sum of the angles in a triangle is 180°.
Therefore
x + y + 32 = 180
x + 105 + 32 = 180
x + 137 = 180
x = 180 - 137 = 43°
Answer: x = 43°
Answer:
x=12
Step-by-step explanation:
x=12
Step-by-step explanation:
E = U
RE =SU
DRE= NSU
N= S
hope this helps
Answer:
Step-by-step explanation:
Set up two equations with the information given-- and things you know from experience: a penny is worth 1 cent and a nickel is worth 5 cents. $ 2.38 is 238 cents (so you can eliminate decimals for now)
Put those values into an equation about the total value:
p + 5n = 238
and you know the total number of coins is 66.
p + n = 66
get a value for p by "solving" (subtract n from both sides)
p = 66-n
Substitute that value for p in the first equation. Then solve.
(66 -n) + 5n = 238
4n = 238-66 Then isolate n by dividing both sides by 4
n = 172/4
n = 43 Substitute that in the second equation, then solve for p
p + 43 = 66 p = 66 - 43
p = 23
So Chuck has 23 pennies and 43 nickels
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2