In short, let x be the height of the Light House
2.5/36 = 1.5/X
===> X= (36 x 1.5)/2.5 = 21.6 meters
8 * 9 = (5 + y) * 9
multiply 8 and 9
72 = (5 + y) * 9
use the distributive property
72 = 45 + 9y
subtract 45 from both sides
27 = 9y
divide both sides by 9 to isolate the variable
y = 3
<span>4(3 – x) – 3(-5 – 12x)
= 12 - 4x + 15 + 36x
= 27 + 32x
Hope this helps!</span>
-10p+8=7p+12
8=17p+12
-4=17p
-4.25=p
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
