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Slav-nsk [51]
2 years ago
10

Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of

side EF?
Mathematics
1 answer:
WINSTONCH [101]2 years ago
6 0

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \frac{1}{4} i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125

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3 years ago
Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)
Dmitry [639]

Answer:

Rounding it to two decimal places, we get distance, d=17.35

Step-by-step explanation:

Given:

The two points are (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

The distance between the two points can be obtained using the distance formula which is given as:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Here, for the points, (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8

Therefore, the distance between the points is:

d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348

Rounding it to two decimal places, we get d=17.35

7 0
3 years ago
Find the values of the variables in the parallelogram. The diagram is not to scale.
Anna [14]

Answer:

  • Option C

Step-by-step explanation:

  • x = 36° as alternate interior angles are congruent
  • z = 110° as opposite angles of parallelogram are congruent
  • x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
  • y = 180° - 110° - 36° =  34°

Correct choice is C

8 0
2 years ago
Please help find and plot the reflection of this. I will mark brainliest
lubasha [3.4K]

Answer:

Look below for coordinates

Step-by-step explanation:

A: -2, 3 to A': -2, -3

B:  5, -2 to B': 5, 2

C:  -5, 1 to C': -5, -1

Reflect over x-axis: (x, -y) and Reflect over y-axis: (-x, y)

7 0
2 years ago
What number would complete the pattern? 107 98 90 83 77_68 65
Leviafan [203]
Going from 107 to 98 is (minus 9)
going from 98 to 90 is (minus 8)
going from 90 to 83 is (minus 7)
going from 83 to 77 is (minus 6)

following this pattern, the number after 77
is 77 minus 5 = 72

therefore your answer is 72
7 0
2 years ago
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