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CaHeK987 [17]
3 years ago
12

What is AE? Enter your answer in the box. units

Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

AE = 18

Step-by-step explanation:

The triangles must be similar so we can use ratios

2x+4         12

--------  = ---------

x+8          10

Using cross products

(2x+4)10 = 12 (x+8)

20x +40 = 12x+96

Subtract 12x from each side

20x-12x +40 = 12x-12x +96

8x +40 = 96

Subtract 40 from each side

8x = 96-40

8x = 56

Divide by 8

x = 56/8

x = 7

AE = 2x+4 = 2(7) +4 = 14+4 = 18

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4 The number of laps Jessica runs around the track is proportional to the time she
iragen [17]

Answer:

A. 24 lap/hour.

B. r = 24h

Step-by-step explanation:

Let r be the number laps.

Let h be the time.

From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:

r & h

r = Kh

Where:

r is the number of laps.

K is the constant of proportionality.

h is the time.

A. Determination of the constant of proportionality.

With the above formula, we can calculate the value of the constant of proportionality, K as follow:

Number of laps (r) = 12 laps

Time (h) = ½ hour

Constant of proportionality (K) =.?

r = Kh

12 = K × ½

12 = K/2

Cross multiply

K = 12 × 2

K = 24 lap/hour

Therefore, constant of proportionality is

24 lap/hour.

B. Equation for relationship between the number of lap and time. This is illustrated below:

r = Kh

K = 24

r = 24h

Therefore, the equation for relationship between the number of lap and time is r = 24h

7 0
3 years ago
R = x(A + B)<br> Solve for A.
larisa86 [58]

Answer:

A = \frac{R}{x} - B

Step-by-step explanation:

Given

R = x(A + B) ← divide both sides by x

\frac{R}{x} = A + B ( subtract B from both sides )

\frac{R}{x} - B = A

3 0
3 years ago
. What is 60% of 52?<br> SHOW WORK:
Bess [88]

Answer:

32.1% ( depending on question might have to round to 32% )

Step-by-step explanation:

60*52=3210

3210/100= 32.1

6 0
3 years ago
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Which expression represents the area of the garden in square feet?
Kisachek [45]

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

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42x² - 3x - 9

8 0
3 years ago
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