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Darina [25.2K]
3 years ago
7

Find the proportion. Test is worth 50 points; test score of 84%

Mathematics
1 answer:
AveGali [126]3 years ago
6 0
Answer is answerehdhd
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Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments
kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0
1 year ago
Can you help me i got two wrong if I get one wrong I will have a falling grade
KIM [24]

Answer:

the bottom left is wrong

Step-by-step explanation:

if u add 40+5+7/10+1/100 it'll only equal to 45.71

5 0
2 years ago
Read 2 more answers
Which of the following equals 140 to nearest 10
jarptica [38.1K]
<span>Which of the following equals 140 to nearest 10 
A.134 

B.145 

C.136 

D.146</span>
6 0
2 years ago
What number is 25% of 180
TiliK225 [7]
'what number' indicates an unknown value we can represent with 'x'

'is' indicates an equal sign.

25% = 0.25

'of' indicates multiplication.

x = 0.25 * 180

x = 45
4 0
3 years ago
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What number makes the equation true? Enter the answer in the box,<br> 9-184
Marizza181 [45]

Answer:

9=18 divided by 2

Step-by-step explanation:

6 0
2 years ago
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