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3 years ago

Which of the following facts, if true, would allow you to prove that lines l and m are parallel? NEED HELP

Mathematics

1 answer:

Damm [24]3 years ago

8 0

Two parallel lines A and B are crossed by another line as shown in the attached figure. Angle 2 and 3 are equal, because they are opposite angles, while angle 3 and 7 are also equal, because they are corresponding angles, thus it is deduced that

angle 2 = angle 3

angle 3 = angle 7

So angle 2 = angle 7

Hence fourth option is right.

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What is the perimeter of this equilateral triangle?

bonufazy [111]

9 + 9 + 9

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When Mei solved the system of equations below, she got the

Pani-rosa [81]

Answer:

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3 years ago

Can you help with this please.

andrew-mc [135]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - two points P ( 5 , 10 ) and R ( 12 , 14 ) on the cartesian plane

To find - distance between the two points

Using the distance formula ~

$\qquad\underline{d(PR) = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }} \\ \\$

we have ,

$\longrightarrow x_{1} = 5 \\ \longrightarrow x_{2} = 12 \\ \\ \longrightarrow \: y_{1} = 10 \\ \longrightarrow \: y_{2} = 14$

substituting the values in the formula , we get

$d(PR) = \sqrt{(12-5) {}^{2} + (14-10) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{(7) {}^{2} + ( 4) {}^{2} } \\ \\ \implies \: d(PR) = \sqrt{49 + 16} \\ \\ \implies \: d(PR) = \sqrt{65} \\ \\ \implies \: d(PR) = 8.1 \: units \: (approx)$

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2 years ago

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The cost of 3 notebooks and 4 pencils is $8.50. Determine the cost of one notebook and one pencil

Assoli18 [71]

Call the notebooks x, and the pencils y.
3x + 4y = $8.50 and 5x + 8y = $14.50 
Then just solve as simultaneous equations: 
3x + 4y = $8.50 
5x + 8y = $14.50 

5(3x + 4y = 8.5) 
3(5x + 8y = 14.5) 

15x + 20y = 42.5 
15x + 24y = 43.5 

Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) 

(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. 

Then substitue into equation : 
15x + 20y = 42.5 
15x + 5 + 42.5 
15x = 42.5 - 5 = 37.5 
15x = 37.5 
x = 2.5 

15x + 24y = 43.5 
15(2.5) + 24(0.25) 
37.5 + 6 = 43.5 

So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.

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3 years ago

3. What would the graph of y=x² +1 look like?

Tanzania [10]

Answer is B as it is a parabola

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2 years ago

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