ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.
Cross multiply to get;
Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
A) get rid of the fraction by finding the common denominator, 4. multiplying by 4 on both sides, I usually have it turned into a fraction, 4/1. The 2x=3/4, is now 8x=12/4 will be set as 8x=3. Divide 8, x=3/8.
B) The common denominator is 15. Multiply on both sides, -2/5 times 15/1 is -30/5 which becomes -6. And m/3 times 15/1 is 15m/3, 5m. divide the 5 and your answer is m=-5/6
Parallel means they have the same slope.
The given equation has a slope of 3. Slope intercept equation: y = mx + b
a. 6x + 2y = 12
Subtract 6x from both sides.
2y = - 6x + 12
Divide both sides by 2.
y = -3x + 6 Not parallel
b. -3x + y = 8
Add 3x to both sides.
y = 3x + 8 Parallel
c. 3y = 9x
Divide both sides by 3
y = 3x Parallel
d. y = -1/3x Not parallel
B and C are parallel
