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charle [14.2K]
2 years ago
5

Solve for DG. Show all work

Mathematics
2 answers:
Dominik [7]2 years ago
7 0

Answer:

<h2><u><em>DG = 30 units</em></u></h2>

Step-by-step explanation:

these are 2 similar triangles, so we can solve with an equation

<h2><u><em></em></u></h2>

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

<u><em>DG = 30 units</em></u>

<u><em></em></u>

<u><em>------------------------------</em></u>

<h2>check</h2>

24 : 32 = 30 : 40

0.75 = 0.75

<u>The answer is good</u>

Arlecino [84]2 years ago
5 0

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

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Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%
Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is = P(1+ \frac{R}{100})^t

                                          = 2665 (1+ \frac{24.36}{100})^1.5

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

P = \frac{r(Pv)}{1 - (1+ r)^{-n}}

p = monthly payment

Pv = present value = 3695.88

r =rate per period = \frac{24.36}{12} = 0.020

n = number of period = 12\times 3 = 36

plugging all value in the above formula

P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}

P = $ 144.99

5 0
3 years ago
Solve the inequality and graph its solution...<br> 2x+4≥24
Dima020 [189]
X=10
This is the answer to sol e for your equation you are asking

6 0
2 years ago
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John's bank notified him that he had a negative checking account balance of -$125.70. If John makes two deposits of $89.32 each,
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5 0
3 years ago
I need help please don't know this
SashulF [63]

Answer:

9 is the right answer

Step-by-step explanation:

I. If c = - 4 and d = 10

      then \frac{1}{4}(-4^{3} + 10^{2}  )

           = \frac{1}{4}(-64 + 100)

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13) Circle O is shown with point A, B, C, and D on Circle O.
sladkih [1.3K]

The value of y is 50

The angle measurement of angle AOB is 100°

<h3>Circle Geometry </h3>

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the <u>same segment</u> are equal

In the given diagram, x° and y° are angles in the same segment

∴ x° = y°

From the given information,

x = 50

∴ y = 50

Hence, the value of y is 50

Also, from another circle theorem,

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Hence, the angle measurement of angle AOB is 100°

Learn more on Circle Geometry here: brainly.com/question/17074363

#SPJ1

7 0
2 years ago
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