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Aneli [31]
2 years ago
11

Help a b c d or e what one

Mathematics
1 answer:
pshichka [43]2 years ago
7 0

Answer: D

Step-by-step explanation: The others dont have A m or an s

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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
Factoring Quadratic Expressions:<br><br> 7x^2 -32x -60
krek1111 [17]
7 x^{2} -32x-60

7 x^{2} -42x+10x-60

7x(x-6)+10(x-6)

(x-6)(7x+10)
6 0
3 years ago
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Need help with 35 thank you so much!!
Yakvenalex [24]

If a pentagon is regular, then all of the sides are the same length. This means that

5x-4=2x+11 \iff 5x-2x = 11+4 \iff 3x=15 \iff x = 5

So, if x=5, the lengths of the sides evaluate to

5x-4 = 25-4=21,\quad 2x+11=10+11=21

So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.

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3 years ago
The sum of a number and 17 is no less than 26
Eva8 [605]
I believe it would be as following:

x+7>12

Here, x represents the unknown number. The symbol for no less than is greater than.
5 0
3 years ago
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If you rolled two dice, what is the probability
jekas [21]

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

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