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Sati [7]
3 years ago
6

Pleeeeeeeeeeesease helllllllp meee

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

This is a vertical angle theorem

Step-by-step explanation:

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .

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Find the equation of the line.
zhuklara [117]

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

3 0
3 years ago
Pleas help me find the answer and show the work to this question
lions [1.4K]

Answer:

Leg\ 1 = 8

Leg\ 2 = 15

Step-by-step explanation:

Given: See Attachment

Required

Determine the length of the legs

To do this, we apply Pythagoras theorem.

Hyp^2 = Adj^2 + Opp^2

In this case:

17^2 = x^2 + (2x- 1)^2

Open Bracket

17^2 = x^2 + 4x^2- 2x-2x + 1

17^2 = 5x^2 - 4x + 1

289= 5x^2 - 4x + 1

Collect Like Terms

5x^2 - 4x + 1 - 289 = 0

5x^2 - 4x - 288 = 0

Solving using quadratic formula:

x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

So:

x = 8 or x = -7.2

Since, x can't be negative, then:

x = 8

One of the leg is:

Leg\ 1 = x

Leg\ 1 = 8

Leg\ 2 = 2x - 1

Leg\ 2 = 2*8 - 1

Leg\ 2 = 16 - 1

Leg\ 2 = 15

6 0
3 years ago
Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b.The area
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Step-by-step explanation:

Cubes have square faces, so the area of the base is b².

The volume of the cube is b³.

The height of each pyramid is half the height of the cube, so h = b/2.  Which means b = 2h.

The cube is made of 6 square pyramids with the same base and height.  Therefore, each pyramid has 1/6 the volume of the cube.  So the volume of each pyramid is b³/6.

8 0
3 years ago
I need help evaluating
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I’m guessing 27 4? I’m not sure
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Write a word problem whose solution is |-70|=70
devlian [24]
What is the absolute value of -70.

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