The value of x is 8.
<h3>How to find the value of x?</h3>
Equations are written as two expressions joined by an equal sign. The terms on either side of the equal sign are called the "left side" and "right side" of the expression. It is often assumed that the right side of the equation is zero.
given that Point F lies between points G and M.
GF = 10x +4, FM = 20,GM = 13x.
so now GM = GF + FM
3x =( 10x + 4) + 20
13x = 10x + 24
13x - 10x = 24
3x = 24
x = 24/3
x = 8
so, the value of x is 8.
now check if it is wrong or correct
13(8) = 10(8) + 4 + 24
104 = 80 + 28
104 = 104
Learn more about equations, refer
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Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6
first the square root of 4 is 2 so we can sub that in.
now we have 2(2*2)^-2.
2 * 2 of course is 4
with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.
so 4^-2 is the same as 1/4^2 or 1/16.
finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.
The lowest common denominator is 9/90 and 14/90, multiplying 1/10 by 9/9 and 7/45 by 2/2. I am assuming you know how to solve for LCD? If you don't I can explain in comments.
1 hour=60 minutes
1 day=24 hours=1440 minutes
1 week=7 days=10080 minutes