Answer:
40°
I hope it will be useful.
Step-by-step explanation:
Angles on the same side of the transversal are equal.
L = length
w = width
r = diagonal, or hypotenuse
In order to solve this, you must use the Pythagorean theorem (a^2 + b^2 = c^2)
L = w + 9 = a
w = ? = b
r = 10 + w = c
Solve like so:
a^2 + b^2 = c^2
(w + 9)^2 + w^2 = (10 + w)^2
(w + 9)(w + 9) + w^2 = (10 + w)(10 +w)
w^2 + 18w + 81 + w^2 = w^2 + 20w + 100
2w^2 + 18w + 81 = w^2 + 20w + 100
w^2 + 18w + 81 = 20w + 100
w^2 + 81 = 2w + 100
w^2 - 19 = 2w
2 = w - 19/w
w = 2 + 19/w
w ends up being equal to 5.47 as a decimal answer. The work to solve this equation further would require me to spend another couple hours to present. So if you wish to see how this is done, go to quickmath.com.
Answer:
4a + 20
Step-by-step explanation:
Using the distributive property, multiply each term in the parenthesis by 4
4(a + 5)
= (4 × a) + (4 × 5) = 4a + 20
X/8 + 12 = 16
start by subtracting twelve from both sides
x/8 + 12 = 16
- 12 -12
You're left with x/8 = 4
Multiply both sides by 8
8× x/8 = 4 ×8
Your answer is x = 32
If you need to simplify, the answer is 2.
5682 divided by 4 is 1420 remainder 2 Hope that helped Have a good day! :-)
