Answer:
Step-by-step explanation:
For two angles x and y to be supplementary, the sum of the angles must be 180°
x+y = 180
x = 180-y... 1
If the measure of the angle is five times greater than its supplement this is expressed as:
x = 5y…. 2
Substitute equation 2 into 1
5y = 180-y
5y+y = 180
6y = 180
y = 30°
Hence the measure of the supplement is x = 5y
x = 5(30)
x = 150°
Answer:
No solution?
Step-by-step explanation:
Im confused, can you give more information.
Answer:
hat: $12
t-shirt: $8
Step-by-step explanation:
Let the price of 1 hat = h.
Let the price of 1 t-shirt = t.
Julie: h + 2t = 28
Raj: 2h + t = 32
We have a system of 2 equations in 2 variables.
h + 2t = 28
2h + t = 32
Let's use the substitution method to solve the system of equations.
Solve the first equation for h.
h = 28 - 2t
Substitute 28 - 2t for h in the second equation.
2(28 - 2t) + t = 32
56 - 4t + t = 32
56 - 3t = 32
-3t = -24
t = 8
h = 28 - 2t
h = 28 - 2(6)
h = 12
Answer:
hat: $12
t-shirt: $8
Answer:
c = 10 feet
Step-by-step explanation:
Use the Pythagorean theorem: a^2 + b^2 = c^2
<u>Step 1: Plug in the information</u>
(6)^2 + (8)^2 = c^2
36 + 64 = c^2
100 = c^2
sqrt(100) = sqrt(c^2)
<em>10 = c</em>
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Answer: c = 10 feet
