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MrRa [10]
3 years ago
11

What is the area of the composite figure? A) 27 B) 21 C) 15 D) 30

Mathematics
2 answers:
polet [3.4K]3 years ago
3 0
Answer: B 21

How?
Break it into smaller pieces
5*3= 15 (big box with out small extension)
3*2= 6 (small extension of large box. It 3 because I’m only looking for the area of the small extension)
15+6= 21

Hope this helps
OverLord2011 [107]3 years ago
3 0
Answer is b 21!!!!!!!!
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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
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Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

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3 years ago
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Step-by-step explanation:


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