Answer:
x = 43
Step-by-step explanation:
125^(3x+7)=25^(5x−11)
Rewriting the bases as powers of 5
125 = 5^3 and 25 = 5^2
5^3 ^ (3x+7) = 5^2^(5x-11)
We know a^b^c = a^ (b*c)
5^(3 * (3x+7)) = 5^(2*(5x-11))
Distribute
5^(9x+21) = 5^(10x-22)
The bases are the same so the exponents are the same
9x+21 = 10x-22
Subtract 9x from each side
9x+21 -9x = 10x-9x-22
21 = x-22
Add 22 to each side
21+22 = x-22+22
43 = x
Answer:
B. 
Step-by-step explanation:
Given:
Segment MN ║ Segment BC
We need to find the ratio of the side which are proportional.
Solution:
In Δ ABC
Segment MN ║ Segment BC
So By Triangle Proportionality theorem which states that;
"If a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally."
So we can say that;

Hence the Proportional sides are from the given option
.
You have to see which of the choices replace x and will have the same result to -2
The first given equation is:
4y + 1 = x .......> equation I
The second given equation is:
2x = 5y .......> equation II
Substitute with equation I in equation II to get the value of y as follows:
2x = 5y
2(4y+1) = 5y
8y + 2 = 5y
8y - 5y = -2
3y = -2
y = -2/3
Substitute with the value of y in equation I to get the value of x as follows:
x = 4y + 1
x = 4(-2/3) + 1
x = -5/3
Based on the above calculations:
x = -5/3
y = -2/3
8. 6 * 4 / 3 = 8 pies remember that dividing means to flip the fraction