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suter [353]
3 years ago
15

Solve The Equation, Check Your Answer 15=7x+1-5x

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0
15=7x+1-5x


Put like terms together. ( group anything alike)

15+1=16

7x-5x=2x

16 2x
—- ——-
2x 2x


2x/2x cancels itself out.

16 divided by 2 is 8

x=8

I hope this helped!
LUCKY_DIMON [66]3 years ago
5 0

15=7x+1-5x

Subtract 5x from 7x

15=2x+1

Subtract 1 from 15

14=2x

Divide 2 on both sides

Final Answer: x=7

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Answer:

Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

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In Δ QRS

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To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider  the ratio of the sides

\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}            ..............( 1 )

\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}            ..............( 2 )

\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}            ..............( 3 )

So By equation ( 1 ), ( 2 ) and  ( 3 ) we get

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

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\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proved

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