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Contact [7]
2 years ago
9

In the diagram below line l is parallel to line m which angles are congruent to angle 1 ​

Mathematics
1 answer:
Alchen [17]2 years ago
3 0

ANSWER

\angle1   \cong \angle3

\angle1   \cong \angle8

\angle1   \cong \angle6

EXPLANATION

Since line l is parallel to line m,

\angle1   \cong \angle3

because the two angles are vertically opposite angles.

\angle1   \cong \angle8

because the two angles are corresponding angles.

\angle1   \cong \angle6

because the two angles are alternate exterior angles.

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soldi70 [24.7K]
You have to get rid of 1/2 by multiplying it by its recriprocal which is like this:
1) 1/2 x 2/1 which equals to zero and you do the same to the other side.
2) -12 x 2/1 = -24x then multiply-24x with 7 which equals -168.
16-x= -24x -168
3) subtract 16 to the other side and subtract 24x with x
23x= -184
4) divide by 23 to isolate x and you get -8
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3 years ago
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Gavyn was thinking of a number.gavyn halves it and gets an answer of 9.4 what was the original number?
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Explanation:

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2 years ago
alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas
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408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

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∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

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∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

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Step-by-step explanation:

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