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guapka [62]
3 years ago
8

In ΔABC, m∠CAB = 60° and

Mathematics
2 answers:
lara [203]3 years ago
6 0
The answer is 4 feet.
Draw a line segment from D perpendicular to AC and intersect AC at F.
triangle ADF is a right triangle, with angle AFD=90, Angle DAF=half of BAC=30
in a 30-60-90 triangle, the shortest side is half of the hypotenuse. the hypotenuse AD=8, so DF=4
Draw a line segment perpendicular from D to AB and intercept AB at E.
DE is also 4 feet, same as above.
Debora [2.8K]3 years ago
5 0

Answer:

The answer is 4 and 4 feet feet

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9(x+2)= 5 - 2( x - 1 )
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We can use the distribution method for both sides:

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Move like terms to one side and combine:

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6)

34, 43, 52, 61, ...

43-34 = 9; 52-43 = 9; 61-52 = 9

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first term:  a = 34

difference:  d = 9

so the formula:

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10, 6, 2, -2, ...

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so the formula:

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8)

-3, -10, -17, -24, ...

-10-(-3) = -7; -17-(-10) = -7; -24-(-17) = -7

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first term:  a = -3

difference:  d = -7

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7, 8.5, 10, 11.5, ...

8.5-7 = 1.5; 10-8.5 = 1.5; 11.5-10 = 1.5

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 7

difference:  d = 1.5

so the formula:

                         a_n=a+d(n-1)\\\\a_n=7+1.5(n-1)\\\\a_n =7+1.5n-1.5\\\\\underline{a_n=1.5n+5.5}

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30, 22¹/₂, 15, 7¹/₂, ...

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