Hi there!

Since U and V are midpoints of the legs, then UV is the average of both WX and ZY.
Therefore:
(ZY + WX)/2 = UV
Substitute in the given expressions:
[(6x + 5) + (x + 7)]/2 = 8x - 3
Simplify by combining like terms:
(7x + 12)/2 = 8x - 3
Multiply both sides by 2:
7x + 12 = 16x - 6
Subtract 7x from both sides and add 6 to both sides:
18 = 9x
Divide both sides by 9:
18/9 = x
x = 2.
Plug in this value of x into the equation for UV:
8(2) - 3 = 16 - 3 = 13.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (0, 7)
Point (-3, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract:

- Simplify:

Answer: B
Step-by-step explanation:
Use the <u>Triangle Theorem.</u>
Now, we have to find every number involved squared.
2² = 4
3.6² = 12.96
Add the given components.
12.96 + 4 = 16.96
Our final answer is 16.96
Best of Luck!
Answer:
Step-by-step explanation:

Red area = 
One blue triangle = ( a * b *
)
Blue area = 4 * ( a * b *
)
Totally area = 
Red area + blue area = totally area
+ 4 * ( a * b *
) = 