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laila [671]
4 years ago
10

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of ? Why or why not?

Mathematics
2 answers:
Nady [450]4 years ago
8 0

Answer:

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

Step-by-step explanation:

Comparing the corresponding sides, the length of AB is 4.  The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2.  The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

Flauer [41]4 years ago
4 0

Answer:

C) No, because AB is 2/5 the length MN but CD is 1/3 the length QP

Step-by-step explanation:

Just took the test and got it correct!

Hope this was helpful!

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1. Given: AB = 64; M lies on the line AB
Gnom [1K]

Answer:

Step-by-step explanation:

Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB  then AM+MB = AB (addition property)

Substituting the given parameters into the addition property above;

AM+MB = AB

4x + 4 + 6x - 10 = 64

combine like terms

4x+6x = 64+10-4

10x = 74-4

10x = 70

Divide both sides by 10

x = 70/10

x = 7

Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM

To get AM ;

Since AM = 4x+4

substitute x = 7 into the function

AM = 4(7)+4

AM = 28+4

AM = 32

Similarly, BM = 6x-10

BM = 6(7)-10

BM = 42-10

BM = 32

<em></em>

<em>Since AM = BM = 32,. then M is the midpoint of AB</em>

6 0
4 years ago
Find all values of theta in the interval [0° 360°) that have the given function value.
SOVA2 [1]

Answer:

The answer to your question is: 45° and 225°

Step-by-step explanation:

Getting tan⁻¹ 1 = 45°

Then, the angle we are looking for is 45°, let's check the for quadrangles.

First quadrangle = tan 45 = 1

Second quadrangle = 180° - 45° = 135°      tan 135 = -1

Third quadrangle = 180 + 45 = 225°           tan 225 = 1

Forth quadrangle = 360 - 45 = 315°            tan 315° = -1

8 0
3 years ago
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katovenus [111]

The answer is 2(x + 3)(x^2 + 1).

Steps:

2x^3 + 6x^2 + 2x + 6

2x^3 + 2x + 6x^2 + 6

2x(x^2 + 1) + 6(x^2 + 1)

(2x + 6)(x^2 + 1)

2(x + 3)(x^2 + 1)

4 0
3 years ago
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Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!!!!
marta [7]
I think the correct answer for that question is C
6 0
4 years ago
Complete the point-slope equation of the line through (2,3)(7,4)<br> y-4=
Bumek [7]
Y-4=1/5(x-7) is the answer
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3 years ago
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