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3 years ago

Which of the following shows why rectangle WXYZ is congruent to rectangle W'X'Y'Z'?

Mathematics

1 answer:

blsea [12.9K]3 years ago

3 0

If you rotated the box 90º, the orrientation would not be the same, so it is not D or B.

After rotating 180º, the box will be in the 1st quadrant. If it moved along the x-axis, it wouldnt be there anymore, and the after-picture shows it in the first quadrant still, so the only answer it can be is C.

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What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pe

inysia [295]

Answer:

Step-by-step explanation:

Pentagon

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2 years ago

Read 2 more answers

I NEED HELP ASAP:

olga55 [171]

First, you have to do some factorization

60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}

the GCF is 12

now we find the number that you multiply by 12 to get 60 and another number to get 72.

12 x 5 = 60
12 x 6 = 72

now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)

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3 years ago

3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>

crimeas [40]

Answer:

k = - $\frac{2}{3}$ , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - $\frac{2}{3}$

k - 2 = 0 ⇒ k = 2

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3 years ago

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bagirrra123 [75]

We need to find LCM of the denominators
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We get the fractions (4+9)/24= 13/24

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sdas [7]

The sales tax $950 item would be $57. Hope this helps!

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3 years ago