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galina1969 [7]
3 years ago
5

Lauren paid a one - time membership fee of $70.25 when joining a gym, and since then she has been paying $36.45 per month. So fa

r she has paid $653.45. For how many months has Lauren been a member of the gym? Plz show work and explain.
A. 15
B. 16
C. 18
D. 21
Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer: 16 months.

Step-by-step explanation: We can subtract 70.25 from the total amount of payment since that was a one-time payment. So:

653.45 - 70.25 = 583.20

From there, we have to divide that by the monthly payment. So:

583.20 / 36.45 = 16

She has been a member for 16 months.

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Could someone explain this to me ??
hodyreva [135]
<h3>Answer: C) 12</h3>

========================================================

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

7x+96 = 180

7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.

3 0
3 years ago
What is the perimeter, to the nearest inch, of the kite?
storchak [24]

Answer:

skksk

Step-by-step explanation:

snnsnsjskssdjsjsj

4 0
2 years ago
When  x=3, the value of x^2-2 is?​
Hitman42 [59]

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

8 0
3 years ago
How many triangles are in a rombus?
qwelly [4]
2 triangles make up a rhombus
8 0
3 years ago
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

m_ {1} * m_ {2} = - 1

The given line is:

5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3

So we have:

m_ {1} = \frac {5} {2}

We find m_ {2}:m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}

So, a line perpendicular to the one given is of the form:

y = - \frac {2} {5} x + b

We substitute the given point to find "b":

-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2

Finally we have:

y = - \frac {2} {5} x-2

In point-slope form we have:

y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)

ANswer:

y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)

3 0
3 years ago
Read 2 more answers
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