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stira [4]
2 years ago
6

Help Please & Thanks

Mathematics
1 answer:
Vanyuwa [196]2 years ago
7 0
I am not sure but I think it’s c
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parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
Atherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube
horsena [70]

I think that she could buy 3 tubes of paint because that's $25.50 and that gives you 28.50 for the canvas.

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3 years ago
ava picks a number greater than 3 tens 6 ones. the number is less than 52. it has more than 6 ones. what could the. number be?
Svetlanka [38]
Any where between 37 and 51
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Combine the rational expressions into a single fraction and reduce it in the lowest terms.
Lostsunrise [7]

Answer:

13. -3                14. (x+1)(2x-7) / (x-6)(x+3)

Step-by-step explanation:

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What is the measure of angle B, m
gladu [14]

Answer:

70 degrees

Opposite angles are equal to each other

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