Answer: x = -1
Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.
So we have 4 times 5x which is 20x and 4 times 30 which is 120.
So our equation now reads 20x + 120 = 100.
Solving from here, we subtract 120 from both sides of the equation and we have 20x = -20 and dividing both sides by 20, we find that <em>x = -1</em>.
Data:
<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.
From the figure:
1) Similarity => segment AB / segment BC = segment AU / segment UV
2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / 703 = (20x + 108) / 444
=> 444 (20x + 381) = 703 (20x + 108)
=> 8880x + 169164 = 14060x + 75924
=> 14060x - 8880x = 169164 - 75924
=> 5180 x = 93240
=> x = 93240 / 5180
=> x = 18
Answer: x = 18
</span>
Answer:
15.59 feet
Step-by-step explanation:
We need to find BC and CD
First find BC
We can use the Pythagorean theorem
AB^2 + BC^2 = AC^2
11^2 + BC^2 = 13^2
121 + BC^2 =169
Subtract 121 from each side
121-121+BC^2 = 169-121
BC^2 = 48
Take the square of each side
sqrt(BC^2 ) = sqrt( 48)
BC = 6.92820323
then we need to find CD
We can use the Pythagorean theorem
CD^2 + DE^2 = CE^2
CD^2 + 5^2 = 10^2
CD^2 + 25 =100
Subtract 25 from each side
CD^2 + 25-25 =100-25
CD^2 = 75
Take the square of each side
sqrt(CD^2 ) = sqrt( 75)
BC = 8.660254038
BD = BC +CD
= 6.92820323 + 8.660254038
15.58845727
Answer:
the answer is 5n+8
Step-by-step explanation:
4n+n=5n
6+2=8
