<span>2(x - 5) + 7 = x + 8
Use distributed property
2x - 10 + 7 = x + 8
Add 7 to -10
2x - 3 = x + 8
Subtract x from both sides
x - 3 = 8
Add 3 to both sides
Final Answer: x=11</span>
Answer:
y = 1/2x + 0
You can see the slope is rising by 1 and running (to the right) by 2. This makes the slope, or rate of change, 1/2x.
There aren`t really calculations necessary to find the rate of change, but if you need more explaining please do ask, I`m happy to help
First, solve for the missing side of the triangle:
a^2+b^2=c^2
100+b^2=144
b^2=44
b=6.63
15-6.63=8.37
8.37*10=83.7
The area of the parallelogram is (1/2(6.63*10))+ (1/2(6.63*10))+83.7
66.3+83.7
The area of the shape is 150 ft^2
Answer:
<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>
<em>Part 2 : Value of x ⇒ 45°,</em>
<em>Part 3 : Measure of Angle U ⇒ 126°</em>
Step-by-step explanation:
~ Part 1 ~
We know that ∑ of angles in a triangle is 180;
m∠ U + m∠ V + m∠ W = 180°,
<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>
~ Part 2 ~
Now let us simplify the equation above to solve for x;
3x - 9 + 30 + 24 = 180,
3x - 9 = 126,
3x = 135,
x = 45 degrees ( ° ) ⇒
<em>Value of x ⇒ 45°</em>
~ Part 3 ~
If it is known that m∠ U ⇒ 3x - 9;
m∠ U = 3 * ( 45 ) - 9,
m∠ U = 135 - 9,
m∠ U = 126 degrees ( ° ) ⇒
<em>Measure of Angle U ⇒ 126°</em>
Answer:
They can be arranged in 6 ways.
Step-by-step explanation:
4×5
5×4
10×2
2×10
20×1
1×20
