Answer:
64
Step-by-step explanation:
height of the hypotenuse:

36 : height = height : x
36 : 48 = 48 : x
x= 48^2/36 = 64
Answer:
n = -3
(second option listed)
Step-by-step explanation:
first, we will distribute the 11 (n-1)
11 (n - 1) + 35 = 3n
11n - 11 + 35 = 3n
Now, we will combine -11 and 35 (because they are like terms)
11n + 24 = 3n
Now, to isolate x as a positive, I will subtract 3n from both sides
11n + 24 = 3n
- 3n - 3n
8n + 24 = 0
Now, I will subtract 24 from both sides to isolate n
8n + 24 = 0
- 24 - 24
8n = -24
Now, we will divide both sides by 8 to find "n"
8n = -24
÷8 ÷8
n = -3
This means that n is equal to -3
(n = -3)
Answer:
70.7 meters.
Step-by-step explanation:
We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.
Since we know that diagonal of a square is product of side length of square and
. So we will find diagonal of our given square plaza by multiplying 50 by
.



Therefore, diagonal distance across the plaza is 70.7 meters.
1. Take away the parentheses. x+2x+40+3x-50=15002
2. Add the X’s together.
x+2x+3x= 6x —> 6x+40-50=15002
3. Subtract 50 from 40.
40-50= -10 —> 6x-10=15002
4. Move -10 to the right hand side to make it positive.
6x=15002+10
5. Add 15002 and 10 together.
6x=15012
6. Divide 15012 by 6. Which makes the answer X=2502