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Mathematics

2 answers:

tiny-mole [99]2 years ago

8 0

Answer:

x=14

Step-by-step explanation:

8x-9+6x-7 = 180 (being adjacent angles)

14x-16 = 180

14x = 180+16

14x =196

x = 196/14

x =14

please mark me brainliest.

enyata [817]2 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

Both angles are supplementary which means that they both add up to 180°.

8x-9+6x-7 = 180

14x-16=180

14x=196

x = 14

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What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

alekssr [168]

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
$d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }$
$d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4$
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

5 0

3 years ago

Read 2 more answers

X−2y=−1

nikitadnepr [17]

they're just intersecting.

6 0

2 years ago

The 9th graders are selling tickets to raise money for a class field trip. They are selling student tickets for $5 and adult tic

Lubov Fominskaja [6]

For this answer I believe it would be best if you did it on paper

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