2(3x+7)+x=70
mutiply the bracket by 2
(2)(3x)(2)(7)+x= 70
6x+14+x= 70
6x+x+14= 70 ( combine like terms)
7x+14= 70
move 14 to the other side
sign changes from +14 to -14
7x+14-14=70-14
7x= 56
divide both sides by 7
7x/7= 56/7
x=8
Answer: x= 8
Answer:
XQ = 12
Step-by-step explanation:
In this question it asks for XQ instead of x, but you need to find x first.
1. Find x.
XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)
Solve for x.
3x - 3 = 2(2x - 6)
Distribute 2.
3x - 3 = 4x - 12
Isolate x.
3x = 4x - 9
-x = -9
Divide -1 out.
x = 9
Now solve for XQ, which the equation is given.
XQ = 2(9) - 6
XQ = 18 - 6
XQ = 12
Ratio = 2 : 3 : 5
Hence, the interior angles of the triangles are 2x, 3x and 5x.
We know, the sum of the interior angles of are triangle is 180°.
2x + 3x + 5x = 180
10x = 180
x = 18
Hence, the angles are 36°, 54°, 90°.
Hence, the measure of the largest interior angle is 90°.