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Veseljchak [2.6K]
4 years ago
15

An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c

oincide with its preimage during the rotation?
Mathematics
1 answer:
Helga [31]4 years ago
6 0
2 times it will coincide

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A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
elena-s [515]

(2,3) \longrightarrow (2+1, 3-3)=\boxed{(3,0)}\\(-4,5) \longrightarrow (-4+1, 5-3)=\boxed{(-3, 2)}\\(-3,4) \longrightarrow (-3+1, 4-3)=\boxed{(-2, 1)}

3 0
2 years ago
A. Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm.
pantera1 [17]

Answer:

  • a. 6.25
  • b. AT = 33
  • c. y = 3

Step-by-step explanation:

a. <u>Midsegment is half the length of the parallel side:</u>

  • 12.5/2 = 6.25

b. <u>Segment addition postulate:</u>

  • AB = AT + TB = 3x + 6 + 42 - x = 2x + 48

<u>Perpendicular bisector of segment divides the segment in two equal halves:</u>

  • AT = TB
  • 3x + 6 = 42 - x
  • 4x = 36
  • x = 9

<u>AT is:</u>

  • AT = 3*9 + 6
  •      = 33

c) <u>The point on the angle bisector H is equidistant from the point E and G</u>:

  • EH = HG
  • 5y + 10 = 28 - y
  • 5y + y = 28 - 10
  • 6y = 18
  • y = 3
5 0
3 years ago
If r = 4 and a6 = 192, what is the first term of the sequence?
blagie [28]

Answer:

Answer: Option c. 0.1875 is the first term of the sequence.

Step-by-step explanation:

In this question sixth term of a sequence is given as A(6)= 192

Ratio of terms is given as 4

And we have to calculate the first term of the sequence.

As per formula A(n) = A(1)×r^{n-1}

                         A(6) = A(1)(r)^{6-1}

                          192 = A(1)4^{5}

                           A(1) = \frac{192}{4^{5} }

                                 = 192/1024

                                 =0.1875

So the first term of the sequence will be 0.1875      



5 0
3 years ago
A savings account with an initial deposit of $10,000 has an annual interest rate of 3.2%. The interest on the account is compoun
makkiz [27]

Answer:

account balance will be $12113.9 and the interest is $2113.9.

7 0
3 years ago
If you want to increase the acceleration of your rocket you need to: (Choose one of the following statements)
nignag [31]
D) increase the thrust force and increase the mass of the rocket.
4 0
3 years ago
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