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3 years ago

15

I need help on this problem

2 answers:

never [62]3 years ago

7 0

Answer:

72

Step-by-step explanation:

find the small square first. to find the height, subtract 3 from 9. you get 6. then to find the length, subtract 6 from 12. you also get 6. so the square is 6x6 which equals 36. then go to the top rectangle. hieght is 3 and length is 12. 3x12 is also 36. 36+36 is 72.

pls mark brainliest.

swat323 years ago

3 0

Answer:

B-72

Step-by-step explanation:

its B

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the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

<u>Step 1:-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

<u>Step 2:-</u>

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

<u>Step 3:</u>-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

<u>Final answer is </u>

$k= \frac{-34}{3}$

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