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SCORPION-xisa [38]
3 years ago
8

Ethan is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 1 an

d 2 are similar.
Drag statements and reasons to complete the proof.
Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:

Slope from P to Q = F/E ------ Definition of a Slope

Slope from Q to R = F1/E1 ------ Definition of a Slope

F1/ E1 = F/E ---------------- Triangle 1 is similar to triangle 2

Step-by-step explanation:

ella [17]3 years ago
3 0

Slope of a line = (y₂ - y₁)/(x₂ - x₁)

K'  = y₂ - y₁  ( for E & F)

L' = x₂ - x₁    ( for E & F)

=> Slope from E to F  = K'/L'

Two triangles are similar

=> K/K'  = L/L'  = DE/EF

=> K/K'  = L/L'

=> K/L = K'/L'

=>  K'/L' = K/L

Triangles are similar

K - L  = K' - L'

Sufficient information is not given but from picture it is clear that slope of line = 1

=> K = L    & K'  = L'

hence K - L = 0  & K' - L' = 0

=> K - L  = K' - L'

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elena55 [62]

Answer:8

Step-by-step explanation: it cannot be 2, 6, or 5 because they are all less than 7.

7 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operators
pochemuha
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11

Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.

We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II

Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11

Substitute with y in equation I to get the value of x as follows:
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Hope this helps :)
4 0
2 years ago
Read 2 more answers
Help please im new and i need help
Mkey [24]

9514 1404 393

Answer:

  B) False

Step-by-step explanation:

Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.

All three of the angles of the first triangle are given: 20°, 40°, 120°.

One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.

The angles aren't the same, so the triangles are not similar.

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If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.

Then the angles in the two triangles, listed smallest to largest, are ...

  20°, 40°, 120°

  40°, 60°, 80°

It is clear the angles of these triangles are not the same.

6 0
2 years ago
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Alex777 [14]
The answer to <span>9y - 11=7 is y equals 2</span>
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3 years ago
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Eduardwww [97]
Answer to 3 is 441

answer to 4 is 12.4 (using pythagorem theorem which is A squared plus B squared equals C squared)
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3 years ago
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