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Lena [83]
3 years ago
10

Given the figures are similar, calculate the perimeter of the ABCDE.

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Let the length of side AB be $x$, then

\cfrac{x}{2}=\cfrac{12}{4}\Rightarrow4x=24\Rightarrow x=\cfrac{24}{4}=6.

Therefore, the perimeter of ABCDE is 2(12) + 2(4) + 6 = 24 + 8 + 6 = 38 in.

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use the information on justines test paper to express the part of the 80 test questions she got correct as a fraction,percent an
kompoz [17]
<span>  80 divide by 68 is 1.17647058824</span>
5 0
3 years ago
Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n
Zina [86]

Answer:

2, 4, 5, and 6 have the same pair of solutions.

Step-by-step explanation:

1. n(n+3)(n-4) = 0

2. 2n(4n+6)(6n-4) = 0

3. 2n(6-4n)(4n-6n) = 0

4. n(2n+3)(3n-2) = 0

5. 2n(2n+3)(3n-2) = 0

6. 3n(6n+9)(9n-6) = 0

Answers:

1. n = 0, -3, 4

2. n = 0, -3/2, 2/3

3. n = 0, 3/2

4. n = 0, -3/2, 2/3

5. n = 0, -3/2, 2/3

6. n = 0, -3/2, 2/3

8 0
4 years ago
Read 2 more answers
Simplify and solve for the unknown. Use order of operations as needed.<br>8×2+5^2-y=2(y+1)+6 ​
Ket [755]

Answer:

y = 11

Step-by-step explanation:

8 × 2 + 5²- y = 2(y + 1) + 6 ​

8 × 2 + 5²- y = 2y + 2 + 6 ​

8 × 2 + 25 - y = 2y + 2 + 6 ​

16 + 25 - y = 2y + 2 + 6

41 - y = 2y + 8

41 (- y + y) = (2y + y) + 8

41 = 3y + 8

41 - 8 = 3y (+ 8 - 8)

33 = 3y

33/3 = 3y/3

y = 11

3 0
3 years ago
An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of
Juli2301 [7.4K]

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

5 0
3 years ago
The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n.Which of these are true?
Korvikt [17]

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

C'D'=nCD=(n)(12\ units)

Therefore, knowing this, you can determine that:

1. If n=\frac{3}{2} , you get:

C'D'=(\frac{3}{2})(12\ units)=18\ units

2. If n=4, then the length of C'D' is:

C'D'=(4)(12\ units)=48\ units

3. If n=8, then:

C'D'=(8)(12\ units)=96\ units

4. If n=2, then, you get that the lenght of C'D' is:

C'D'=(2)(12\ units)=24\ units

5. If n=\frac{3}{4}, the length of C'D' is the following:

C'D'=(\frac{3}{4})(12\ units)=9\ units

8 0
3 years ago
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