Answer:

Step-by-step explanation:
see the attached figure with the letter D to better understand the problem
we know that
The segment side AD is the height of triangle ABC
so
Triangles PBQ and ABD are similar by AA Similarity Theorem
The area of triangle ABC is equal to

we have

substitute


Remember that
If two triangles are similar then the ratio of its corresponding sides is proportional
so

substitute the given values



Answer:
x=3...
Step-by-step explanation:
Given:T is the midpoint of SU.....
To find: x
Proof: ST=TU ( T is the midpoint of SU)
8x+11=12x-1
11+1=12x-8x
12=4x
12/4=x
x=3.
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/8x = 1/2x + 2
5/8x - 1/2x = 2
46x = 2
x=16
So you want to get x by itself so you. First you get 5/8x and 1/2 and subtract 1/2 from both sides. Then find the common demonantor for both numbers. After use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. Finally check the solution by substituting 16 for x in the original equation.