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2 years ago

Please help with this

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

3 0

Answer:

B. $m \angle1 + m \angle3$

D. $180\degree - m \angle6$

Step-by-step explanation:

By exterior angle theorem:

$m \angle4 = m \angle1 + m \angle3$

$m \angle4 = 180\degree - m \angle6$

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ashley spends $12 to buy 3 pencils and 6 rulers. Jack spends $8 to buy 5 pencils and 2 rulers. what is the cost of 2 pencils and

Sveta_85 [38]

Answer:

$ 3 left ashley money

$ 1 left jacks money

$ 8 left ashley money

$ 4 left jacks money

Step-by-step explanation

3 pencils + 6 rulers = 12 - 9 = 3

5 pencils + 2 rulers = 8 - 7 = 1

12 - 4 = 8

8 - 4 = 4

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2 years ago

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2 years ago

Which equation represents the line that passes through the points (-5,2) and (9,0)

V125BC [204]

Step-by-step explanation:

Given points 

( -5 , 2) and (9 , 0)

First calculating slope(m)

= ( y2 - y1) / ( x2 - x1) 

= ( 0-2) / ( 9+5)

= -2 / 14

= -1/7

Now The equation of line is given by 

y - y1 = m ( x - x1) 

y -2 = -1/7 (x + 5)

7( y - 2) = -1(x + 5)

7y - 14 = -x -5

x + 7y -14 +5 = 0

x + 7y - 9 = 0 

Which is the required equation 

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3 years ago

Find the total surface area of the triangular prism

GuDViN [60]

Answer:

$1,008\:\mathrm{cm^2}$

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

$2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}$

Area of all three rectangles:

$15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}$

Therefore, the total surface area of this figure is:

$840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark$

3 0

3 years ago

These are two similar triangles. What does x equal?

tangare [24]

Answer:

112

Step-by-step explanation:

So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.

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2 years ago