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likoan [24]
3 years ago
14

(x,7) and (11,8); m= -1/5

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

x=16

Step-by-step explanation:

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3 years ago
Find the area of a regular hexagon with apothem 2√3 mm. Round to the nearest whole number.
Varvara68 [4.7K]
Join the center of the hexagon with the 2 base angles.

An equilateral triangle, with side length x, is formed.

(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)

The height 2 \sqrt{3} forms 2 congruent right triangles with :

hypotenuse= x, side_1=x/2, and side_2= 2 \sqrt{3}.

From the pythagorean theorem we have:

x^{2} = ( \frac{x}{2} )^{2}+(2 \sqrt{3})^{2}

x^{2} =  \frac{ x^{2} }{4} +12

\frac{3}{4} x^{2} =12

x^{2} = \frac{12*4}{3}=4*4

thus, x=4.

The area of the triangle is 1/2 * 4 * 2 \sqrt{3}=6.93 (mm squared)

The area of the hexagon is 6* the area of the triangle = 42 (mm squared)


Answer: a. 42 (mm squared)
8 0
4 years ago
How do I find the measure of the interior angle?
nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

S=(n-2)180^o

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

n=5\ sides

substitute

S=(5-2)180^o=540^o

step 2

Find the value of x

we know that

-3x+125+(45-x)+(-x+90)+80=540

solve for x

-5x+340=540

-5x=200\\x=-40

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

-3(-40)=120^o

Angle B

80^o

Angle C

-(-40)+90=130^o

Angle D

45-(-40)=85^o

Angle E

125^o

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3 years ago
What is the solution for the system of linear equations?
monitta
The correct answer is A
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4 years ago
Please answer all components.
rosijanka [135]

Answer:

Step-by-step explanation:

¿Hablas español porque no entiendo esto? Si lo haces, ¿puedes decirme en español?

4 0
3 years ago
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