For number 18 what is X

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

The answer is 6. plug it in for yourself and you will see

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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]

Solution-

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)

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

∴ 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

Sophia cuts two pieces of ribbon for a craft project. The first ribbon is 7.74 cm long. The second ribbon is 9.281 cm long. What

docker41 [41]

Hello! So Sophia cuts two pieces of ribbon that are different lengths and lines them up together. To find the total length of the two ribbons, let's add them up. Because there is no digit in the thousandths place, we'll fill that in with a zero. Now, let's add up the numbers. 9.281 + 7.740 = 17.021. There. The total length of the ribbons is 17.021 cm long.

6 0

3 years ago

Read 2 more answers

A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies do

lara [203]

Answer:

Step-by-step explanation:

1/3 of 60 is 20

40 would be left

1/4 of 40 is 10 so 30 would be left

7 0

3 years ago