As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
Answer: x
x = 100 + 32 √10 (15)
Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.
Im gonna assume you mean 6 - (1/3)x = -1. Your notation is not super clear. If so, solution is as follows:
6 - (1/3)x = -1 [subtract 6 from both sides]
-(1/3)x = -7 [multiply both sides by -3]
x = 21
-4(8-3x)≥6x-8
Expand the left side.
-32+12x≥6x-8
Add 32 to both sides
12x≥6x+24
Subtract 6x.
6x≥24
Divide both sides by 6.
x≥4
Answer: x ≥ 4
Answer:
3 hours
Step-by-step explanation:
12.5/2.5 = 5
then convert it to negative
