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Gelneren [198K]
3 years ago
7

:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find

AB.​

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

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The coordinate points of T are (0,6). The midpoint of ST is (6,-8). Find the coordinate of point S.
givi [52]

Answer:

The coordinates of the point S =  (12, -22)

Step-by-step explanation:

The coordinate points of T = (0,6)

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Now, BY MID POINT FORMULA:

If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then

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Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b
iVinArrow [24]

Answer:

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Step-by-step explanation:

Given

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Required

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