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kumpel [21]
3 years ago
7

ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR.

The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Mathematics
1 answer:
loris [4]3 years ago
8 0
This is the concept of transformation of figures, given that ΔABC is similar to ΔPQR, the sides of ABC are 5 units, 4.2 units and 4 units. Since the two triangles are similar and PQR is the image of ABC under the dilation 1.25, the sides of PQR will be:
(5*1.25),(4.2*1.25),(4*1.25)
this will give us:
6.25, 5.25, 5
The length of the sides of PQR are 6.25 units, 5.25 units and 5 units
Hope you get a good grade
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
Anika [276]

Answers:

P(A) = 7/12

P(B) = 1/4

====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

  • There are 6 copies of "7"
  • There are 5 copies of "8"
  • There are 4 copies of "9"
  • There are 3 copies of "10"
  • There are 2 copies of "11"
  • There is 1 copy of "12"

In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

If a number is divisible by 4, then it is a multiple of 4.

The multiples of 4 found in the table are: 4, 8, 12

We have

  • 3 copies of "4"
  • 5 copies of "8"
  • 1 copy of "12"

This gives 1+5+3 = 9 values that are a multiple of 4

P(B) = 9/36 = (1*9)/(4*9) = 1/4

8 0
2 years ago
How many miles is detroit from lansing?
Alex17521 [72]

Answer: 90

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5 0
3 years ago
M(4,2) is the midpoint of RS. The coordinates of S are (6, 1). what are the coordinates of R?
nirvana33 [79]
Remark
You are using the midpoint formula. Instead of finding the midpoint, you are looking for one of the points, so you have to rearrange the formula a little bit.

Givens
Midpoint (4,2)
One endpoint (6,1)

Object
Find the other endpoint.

Formula
m(x,y) = (x1 + x2)/2, (y1 + y2)/2)

Solution
Find the x value
4 = (6 + x2)/2    Multiply both sides by 2
4*2 = 6 + x2      Subtract 6 from both sides.
8 - 6 = x2
x2 = 2

Find the y value
2 = (1 + y2)/2    Multiply by 2
4 = 1 + y2          Subtract 1 from both sides.
4 - 1 = y2  
y2 = 3

Conclusion
R(x,y) = (2,3)

8 0
2 years ago
How can I do this dudhhehrhr
Ludmilka [50]

Answer:

the answer is 30

Step-by-step explanation:

(6+4) * 3

Do what is in the parenthesis!

(6+4) = 10

Then do the *3

10*3 = 30!

Hope this help! Goodluck!

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Answer:

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Step-by-step explanation:

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