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otez555 [7]
3 years ago
5

The length of a rectangle is 50m.this is 6m more than twice the width.find the width

Mathematics
1 answer:
dedylja [7]3 years ago
4 0
I pretty sure it's 22m.
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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

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10 months ago
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr
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Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

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From the above calculation, there won't be any carrots left since we do not have a remainder.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

220 times 15/100=165/5=33

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Describe how to represent 53 – 34 on a number line.
vampirchik [111]
C- Begin at 53, travel 34 units to the left
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3 years ago
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