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3 years ago

I don't know how to do it?

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

130°

Step-by-step explanation:

A hexagon's angels should be 720°.

so we need to substract the outer angels to find the interior angels.

180-75=105

180-38=142

180-42=138

180-65=115

180-90=90

then we add them up with x and equal it to 720

105+142+138+115+90+x=720

720-590=x

x=130

a=130

Murljashka [212]3 years ago

5 0

Answer:

a = 130°

Step-by-step explanation:

The interior angle of a polygon is calculated as

180° - exterior angle, thus

180° - 75° = 105°

180° - 42° = 138°

180° - 65° = 115°

180° - 90° = 90°

180° - 38° = 142°

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

105 + 138 + 115 + 90 + 142 + a = 720, that is

590 + a = 720 ( subtract 590 from both sides )

a = 130

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Part 1)

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step 3

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Part 2)

step 1

Find the midpoint

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$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

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step 2

Find the slope

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step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

Find the slope of the line perpendicular to the segment joining the given points

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Part 3)

In this problem AB and BC are the legs of the right triangle (plot the figure)

step 1

Find the midpoint AB

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step 2

Find the midpoint BC

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Find the slope M1M2

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step 4

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$y-y1=m(x-x1)$

we have

$m=-\frac{1}{8}$ and point $(-2,3)$

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step 5

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

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$y=-\frac{1}{8}x+\frac{11}{4}$

Multiply by 8 both sides

$8y=-x+22$

$x+8y=22$

Part 4)

In this problem the hypotenuse is AC (plot the figure)

step 1

Find the slope AC

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step 2

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$y-4=-\frac{1}{8}(x-3)$

$y=-\frac{1}{8}x+\frac{3}{8}+4$

$y=-\frac{1}{8}x+\frac{35}{8}$

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

A is a positive integer, and B, and C are integers

$y=-\frac{1}{8}x+\frac{35}{8}$

Multiply by 8 both sides

$8y=-x+35$

$x+8y=35$

Part 5)

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step 1

Find the slope BD

The slope between two points is equal to

$m=\frac{4+2}{6+2}=\frac{3}{4}$

step 2

The equation of the line into point slope form is equal to

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we have

$m=\frac{3}{4}$ and point $(-2,-2)$

$y+2=\frac{3}{4}(x+2)$

$y=\frac{3}{4}x+\frac{6}{4}-2$

$y=\frac{3}{4}x-\frac{2}{4}$

step 3

Convert to standard form

Remember that the equation of the line into standard form is equal to

$Ax+By=C$

where

A is a positive integer, and B, and C are integers

$y=\frac{3}{4}x-\frac{2}{4}$

Multiply by 4 both sides

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$3x-4y=2$

Note The complete answers in the attached file

Download docx

3 0

4 years ago

I don't know how to do it? ​

I don't know how to do it?