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Sever21 [200]
3 years ago
11

I will mark you brainliest!

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

Alternate Interior Angles Theorem. It states that two alternate interior angles are congruent in two parallel lines cut by a transversal.

Mark this brainliest please.

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1/2x -2 =8 solve for x<br>​
ser-zykov [4K]

Answer:

x=4

Step-by-step explanation:

1/2x -2= 8

add 2 to both sides

1/2x = 10

multiply 1/2 to both sizes

x= 8/2 o

multiply

x= 4

3 0
4 years ago
Complete the equation of the straight line given below having a slope value of - 2 and passing through the point (4, -1). PLSSS
Gala2k [10]

Answer:

  • y=mx+b
  • -1=-2(4)+b
  • b= 7
  • y=-2x+7
7 0
3 years ago
Find the area of an octagon with a radius of 6 meters
never [62]

A regular octagon has all its eight sides congruent. The line segments joining each of the vertices of a regular octagon to its center are called the radii of the octagon. These 8 radii divide a regular octagon into 8 congruent isosceles triangles. Area of each isosceles triangle is

A_{triangle}=\dfrac{1}{2}a^2\sin \alpha,

where a is length of the side of the octagon and \alpha is the angle between two radii of the octagon.

In regular octagon

\alpha=\dfrac{360^{\circ}}{8}=45^{\circ}.

Then the area of regular octagon is

A_{octagon}=8A_{triangle}=8\cdot \dfrac{1}{2}a^2\sin \alpha=4\cdot (6)^2\cdot \sin 45^{\circ}=4\cdot 36\cdot \dfrac{\sqrt{2}}{2}=72\sqrt{2} sq. m.

Answer: A_{octagon}=72\sqrt{2} sq. m.


7 0
4 years ago
John believes that the amount of sleep he gets the night before a test and his score on that test are inversely related. On his
siniylev [52]

Answer:

Step-by-step explanation:

ohn will need to sleep for 10.3 hours before his second exam so that the

he average of his two exam scores is an 80.

We were given

8 hours of sleep = 70

To get an average of 80

70+ x = 80

2

Cross multiply:

70+x = 160

x= 160-70

= 90.

If 8 hours of sleep = 70

x hours of sleep = 90

Cross multiply

8× 90 = 70 × x

720 = 70x

x = 720/70

x = 10.2857

≈ 10.3 hours of sleep

8 0
2 years ago
Find the slope of (-19,-6),(15,16)
hram777 [196]

Answer:

0.647

Step-by-step explanation:

this is also known as gradient of the line

4 0
3 years ago
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