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3 years ago

15

Are the triangles below similar? How do you know? Select one: a. yes, by AA~ b. yes, by SSS~ c. no d. yes, by SAS~ Have a good d

ay

1 answer:

Gemiola [76]3 years ago

8 0

Answer:

Yes, they are similar by SSS.

Step-by-step explanation:

You can see that the triangles have proportional sides. 12/8 = 1.5, 7.5/5 = 1.5. Since the sides have the same ratios, these triangles are similar!

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Question 22 A city has a population of people. Suppose that each year the population grows by . What will the population be afte

Alexeev081 [22]

Answer:

911,690.

Step-by-step explanation:

Please consider the complete question.

A city has a population of 390,000 people. Suppose that each year the population grows by 6.75%. What will the population be after 13 years? Round your answer the nearest whole number.

We will use exponential growth formula to solve our given problem.

$y=a\cdot (1+r)^x$ , where,

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

$6.75\%=\frac{6.75}{100}=0.0675$

$y=390,000\cdot (1+0.0675)^x$

$y=390,000\cdot (1.0675)^x$

To find the population after 13 years, we will substitute $x=13$ in population growth equation as:

$y=390,000\cdot (1.0675)^{13}$

$y=390,000\cdot 2.3376661492982871$

$y=911689.798226331969$

Upon rounding to nearest whole number, we will get:

$y\approx 911,690$

Therefore, the population of the city after 13 years would be 911,690.

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