Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Answer:
2 and 4
Step-by-step explanation:
2+4 = 6
6/2 = 3
average is sum of number divided by how many numbers there are.
Answer:
= −
8
Step-by-step explanation:
Answer:
X + Y - W - Z = 180
Step-by-step explanation:
In parallel lines If you use the rules of:
* Alternate angles are equal
* Linear Pair Angles supplement to 180
And use the picture below for calculating the result: finally we get
Z = Y - (180 - (X - W)) which becomes the answer above if you simplify the parentheses.
Answer:
The angles
are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information: 
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
(Vertically opposite angles)
(Given)
By SAS rule of similarity

Therefore the angles
are used to prove the similarity of triangles VWZ and YXZ.