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Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

As all the sides are equal, i.e.

as

Add 8 to both sides

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

Hence, the length of MN = 13

Hence, the length of NO = 13

Hence, the length of OM = 13

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.