Answer:
x=15
Step-by-step explanation:
Supplementary angles are two angles that equal the sum of 180 degrees.
Take 4x and 8x and make it equal to 180
4x+8x=180
Add like terms:
12x=180
Divide:
x=15
To check:
Plug in 15 to both expressions
4(15)=60
8(15)=120
Add them up and they equal 180 degrees
Hope this helps! :)
Solve your inequality step-by-step.
7(x+4)>0
Simplify both sides of the inequality.
7x+28>0
Subtract 28 from both sides
.
7x+28−28>0−28
7x>−28
Divide both sides by 7.
7x/7 > −28/7
x > −4
Answer:
<h3>p = 131.25</h3>
Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
<h3>
</h3>
So the formula for the variation is
<h2>
</h2>
when
T = 500
Substitute it into the above formula
That's
Simplify
The final answer is
<h3>p = 131.25</h3>
Hope this helps you
Answer:
Step-by-step explanation:
Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
