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Elis [28]
3 years ago
6

Line a is parallel to line b, m 6=85 and m 3=2x. Find m 1.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0
The sum of the angles <6 and <3 must be 180. Since <3 and <1 are opposed to the top, their measure are equal. We need then to calculate the measure of angle >3 = 180 - <6 = 180-85=95

m(<1) = 95 

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You write it as a ratio eg. SF(large→small)=20:7

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3 years ago
The area of the composite figure is ______ square millimeters.
leonid [27]

Answer:

i believe its 110mm

Step-by-step explanation:

3 0
2 years ago
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
I need help on this math problem !
xeze [42]

Answer:

181 units²

Step-by-step explanation:

Let's break up the polygon into 3 shapes

Step 1: Area of the left rectangle

4(7) = 28 units²

Step 2: Area of middle rectangle

9(13) = 117 units²

Step 3: Area of top square

6² = 36 units²

Step 4: Add them all up

28 + 117 + 36 = 181 units²

8 0
2 years ago
HOMEWORK HELP NEED IT FAST PLEASE!
Lunna [17]
I hope this helps you

6 0
3 years ago
Read 2 more answers
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