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Ira Lisetskai [31]
3 years ago
15

Describe the steps to draw a line perpendicular to line segment AB through point C that is not on the segment.

Mathematics
1 answer:
poizon [28]3 years ago
4 0

Answer:

First you can just flip the line on point C to make a 90 degree angle. That's the simple way.

Other way is to get the slope of AB let's say ex : -1/2

We need to get the slope of C to be a reversed reciprocal of -1/2. So, 2.

Basically I flipped -1/2 in to -2/1 then removed the negative sign for 2.

:)

Hope that makes sense to ya

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In the figure below line DE is parallel to line FG and transversal AG
Arturiano [62]

Answer: The answer is 147° and 33°.

Step-by-step explanation:  We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.

Also, given that

∠ABE = (5y - 18)°.

We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.

That is,

\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)

Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.

That is

\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)

Adding equations (i) and (ii), we get

y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,

and from equation (ii), we get

x=180-33=147.

Thus, x° = 147° and y° = 33°.

4 0
3 years ago
Jayden and Carson are selling T-Shirts and sweatshirts with the school logo. Jayden sells 9 T-Shirts and 3 sweatshirts for 288$.
eimsori [14]

Answer: cost of T-shirts = $18

cost of sweatshirt = $42

Step-by-step explanation:

Let the cost of T-shirts be x

Let the cost of sweatshirt be y

The information given in the question can be used to form an equation that'll be:

9x + 3y = 288 ...... i

1x + 6y = 270 ........ ii

Multiply equation i by 1

Multiply equation ii by 9

9x + 3y = 288 ....... iii

9x + 54y = 2430 ..... iv

Subtract iii from iv

51y = 2142

y = 2142 / 51

y = 42

The cost of a sweatshirt is $42

Since Carson sells 1 T-Shirt and 6 sweatshirts for 270$. The cost of a t-shirt will be:

= 270 - 6(42)

= 270 - 252

= $18

7 0
3 years ago
Mikita is painting a spherical model of a human cell for a science fair. She uses 452.16 square inches of paint to evenly cover
GaryK [48]

Answer:

12

Step-by-step explanation:

Basically you have to divide 3.14 by 452.16 (the formula for area of circle is pi times r squared) and that will get you 144. The square root of 144 is 12 :)

7 0
3 years ago
Three friends go grocery shopping together, and each buys the same kind of
dalvyx [7]

Answer:

C

Step-by-step explanation:

Because if you plug those numbers into the graph, only C and D fit. Now we have to look at the unit price. If LaMar buys 2 lbs and pays 3.00 dollars, we know that the unit price is 3/2=1.5 dollars per pound. You could also check with the other peoples. $7.5/5lbs=1.5 dollars. $4.5/3lbs=$1.5

3 0
3 years ago
Enter a range of values for x. a (x+2) 379 13 [? ]​
beks73 [17]

-22222222222222222222222222222

5 0
3 years ago
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