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sweet-ann [11.9K]
3 years ago
11

the measures of 2 angles are (5x+24) and (9x-7). what is the value of x if these angles are congruent?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

Hello!

We assign (5x + 24) to angle one and (9x - 7) to angle two. If these angles are congruent, then angle one is equal to angle two. To find the value of x, you need to create and equation as follows: 5x + 24 = 9x - 7 and find the value of x like a normal algebraic equation.

5x + 24 = 9x - 7 (subtract 5x from both sides)

24 = 4x - 7 (add 7 to both sides)  

31 = 4x (divide 4 to both sides)

x = 31/4

Therefore, the value of x is equal to 31/4.

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Answer:

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Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

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