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nirvana33 [79]
3 years ago
14

Plot C(-1,–7), D (6,–7), E(5,3), and F(5,-5) in a coordinate plane. Are CD and EF congruent?

Mathematics
1 answer:
N76 [4]3 years ago
7 0

Answer:

No, they are not congruent

Step-by-step explanation:

By CD and EF being congruent, we want to know if they are equal.

What we can simply do here is to find the distance between the points present.

That is, the distance between C and D, the distance between E and F

To get the distances between two points , we use the following equation

D = √(x2-x1)^2 + (y2-y1)^2

For CD, we have

D = √(6 -(-1)^2 + (-7 + 7)^2

D = √(7)^2 = 7 units

For EF, we have

D = √(5-5)^2 + (-5-3)^2

D = √(-8)^2

D = √(64) = 8 units

This clearly shows that they are both not congruent

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25x power square - 36 y power square​
finlep [7]

\implies {\blue {\boxed {\boxed {\purple {\sf {  (5x + 6y)(5x - 6y) }}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

={25x}^{2}  - 36 {y}^{2}

=  ({5 \times 5)x}^{2}  -  (6 \times 6){y}^{2}

=  ({5x})^{2}  -(  {6y})^{2}

= (5x + 6y)(5x - 6y)

<h3><u>Note</u>:</h3>

{a}^{2}  -  {b}^{2}  = (a + b)(a - b)

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%20%2B%20523.89%20%20%3D%20812.57" id="TexFormula1" title="f + 523.89 = 812.57" alt="f + 523
Evgesh-ka [11]

Answer:

D.f=288.68

Step-by-step explanation:

f+ 523.89 = 812.57

subtract 523.89 from both sides

f+ 523.89-523.89 = 812.57-523.89

f = 288.68

8 0
4 years ago
Read 2 more answers
I NEED THE ANSWER TO THIS ASAP FOR A TEST PLEASE!!!!!!!!
Varvara68 [4.7K]

Answer:

192

Step-by-step explanation:

you really should do your own test

A = lwh

A = 6 x 4 x 5 + 3

A = 6 x 4 x 8

A = 192

7 0
3 years ago
A bag of skittles candy was found to have 15% of the candies to be red, 15% were orange, 10% yellow and 20% green. The rest were
harkovskaia [24]

It is a very low probability because forty percent is purple

8 0
3 years ago
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0
3 years ago
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