Answer: x = 11
Step-by-step explanation:
Complementary angles = 90*
Set the two equations equal to 90. Solve
4x + 6 + 4x - 4 = 90
8x +2 = 90
8x = 88
x = 11
Plug it in to see if it makes equation true
4 (11) + 6 + 4 (11) - 4 = 90
44 + 6 + 44 - 4 = 90
50 + 40 = 90
90 = 90
You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer:
B) SAS
Step-by-step explanation:
The angles between the two known equal sides are called a vertical angle and are equal. Thus you know Side-Angle-Side proves congruency.
Answer:
Step-by-step explanation:
The area is the product of two dimensions.
If the ratio of sides is k, then the ratio of areas is k²
<u>We have:</u>
- k² = 200/8
- k² = 25
- k = √25
- k = 5
Correct choice is C
To solve, lets convert the number so that they both have the similar exponents.
in comparing 20,000*10^-28 and 9*10^-28, we can see that one is nearly 2,000 times bigger than the other
20,000/9=2222
Answer= C
