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Katena32 [7]
3 years ago
10

To find the slope, Jackie makes right triangle P by using the graph of the line as the hypotenuse of the triangle as shown in th

e figure. To check her work, she repeats the process and makes a right triangle Q as shown. Which statement explains why the slope of the line should be the same when calculated with either triangle?
A
The two triangles are similar.

B
The two triangles are congruent.

C
One triangle is a translation of the other triangle.

D
The lengths of the hypotenuse of each triangle are equal.

Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Caleb is making a soil mix that is 8 parts dirt to 3 parts peat moss. Which of the following best describes the amount of dirt?
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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte
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Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, q_1 = Q- r \times Q

q_1 = Q(1-r)\cdots(i)

The value of quantity after 2 months, q_2 = q_1- r \times q_1

q_2 = q_1(1-r)

From equation (i)

q_2=Q(1-r)(1-r)  \\\\q_2=Q(1-r)^2\cdots(ii)

The value of quantity after 3 months, q_3 = q_2- r \times q_2

q_3 = q_2(1-r)

From equation (ii)

q_3=Q(1-r)^2(1-r)

q_3=Q(1-r)^3

Similarly, the value of quantity after n months,

q_n= Q(1- r)^n

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

q_{48}=Q(1-r)^{48}

Putting Q=6200 and r=5.5%=0.055, we have

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