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Ratling [72]
3 years ago
14

Is 6,7,8 a Pythagorean triples?

Mathematics
2 answers:
algol133 years ago
8 0
The answer to this question is no
Mumz [18]3 years ago
6 0

Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

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In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not
Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}

Furthermore,

PS=PR-RS

Finding PR and RS,

\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}

Then,

\frac{12}{PR}=\frac{TS}{15}\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}

Solving for PS,

\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}

Solve the quadratic equation in terms of PS, as shown below

\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0
1 year ago
Mr. Cutting thought 8 students to come to small groups on Thursday, but
Zolol [24]

Answer:

62.5%

Step-by-step explanation:

im right

8 0
3 years ago
PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).
goblinko [34]

Answer:

  • (4, - 4)

Step-by-step explanation:

<u>Given system:</u>

  • -x + y = 8
  • 7x + 3y = - 16

<u>Multiply the first equation by 7 and add up the equations:</u>

  • -7x + 7y + 7x + 3y = 7*8 - 16
  • 10y = 40
  • y = 4

<u>Find y:</u>

  • -x + 4 = 8
  • -x = 4
  • x = - 4
3 0
2 years ago
Read 2 more answers
Thirty-one thousand, eight hundred eighty-nine
tangare [24]

Answer:

where is the question?

Step-by-step explanation:

7 0
3 years ago
Will give <br> BRAINLY AND FIVE STARS and A THANKS
11Alexandr11 [23.1K]

Answer:

k = 12h

Step-by-step explanation:

Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
Hope this helps :)

3 0
2 years ago
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