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Alex
3 years ago
12

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating t

he result to coincide with EFGH. What is Taylor's error?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

The E came before H

Step-by-step explanation:

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If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Delvig [45]

Answer:

  • (-222, 296)

Step-by-step explanation:

<u>Given point </u>

  • (3, -4)

<u>Dilation by a scale factor of 74:</u>

  • (x, y) → (74x, 74y)
  • (3, -4) → (74*3, 74(-4)) = (222, -296)

<u>Rotation by 180°:</u>

  • (x, y) → (-x, -y)
  • (222, -296) → (-222, 296)
8 0
3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Nata [24]

Answer:

25

Step-by-step explanation:

The perimeter of triangle is equal to the sum of all sides of triangle

then:

5y + (x+8) + (x+3) = 60

5y + 2x +11 = 60

5y +2x = 49  ..............................................................(1)

the hypotenuse - shorter leg = 10

hint (  shorter leg ) = x+3

then

5y - (x + 3 ) = 10

5y - x - 3 = 10

5y - x = 13               .................................................... (2)

from 1 and 2

5y +2x = 49  .................................................................. (3)

5y - x = 13 (multiply both sides by 2 )

10y - 2x = 26 ..................................................................(4)

by sum 3 and 4

15y = 75

then y = 75/15 = 5

then hypotenuse = 5y = 5 x 5 = 25

6 0
3 years ago
1. Simplify -7 + {12 - 3[50 - 4(2+3)] }
Komok [63]

1. Simplify -7 + (12 - 3[50 - 4(2+3)]) this expression step by step:

  • 2+3=5;
  • 4\cdot (2+3)=4\cdot 5=20;
  • 50-4\cdot (2+3)=50-20=30;
  • 3\cdot [50-4(2+3)]=3\cdot 30=90;
  • 12-3\cdot[50-4(2+3)]=12-90=-78;
  • -7 + (12 - 3[50 - 4(2+3)])=-7+(-78)=-7-78=-85.

2. Simplify the expression \dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2 in the same way:

  • \dfrac{2}{3}-\dfrac{1}{6}=\dfrac{2\cdot 2-1}{6}=\dfrac{3}{6}=\dfrac{1}{2}
  • \left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\left(\dfrac{1}{2} \right)^2=\dfrac{1}{4}
  • \dfrac{1}{3} + 6\left(\dfrac{2}{3} - \dfrac{1}{6}\right)^2=\dfrac{1}{3} + 6\cdot \dfrac{1}{4}=\dfrac{1}{3}+\dfrac{3}{2}=\dfrac{1\cdot 2+3\cdot 3}{6}=\dfrac{11}{6}
6 0
4 years ago
What is the square root of 8
miss Akunina [59]

Answer:

2.82842712475

Step-by-step explanation:

did this help you

4 0
4 years ago
Read 2 more answers
How are we supposed to solve this question!?​
VashaNatasha [74]

Answer:

use pythagorean's theorem; x=6

Step-by-step explanation:

a^2 + b^2 = c^2

a=length; b(x)=height; c= hypotenuse (longest side)

8^2 + b^2 = 10^2

64 + b^2 = 100 (subtract 64 from each side)

b^2= 36

6 x 6 = 36 so b=6

x=6

6 0
3 years ago
Read 2 more answers
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