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4 years ago

If RS = 2x + 5, RU = x + 8, and TU = x + 16, what is the value of x?

1 answer:

8 0

Opposite sides of a parallelogram are congruent. Therefore, RS = TU.

<span>2x+5 = x + 16. </span>

<span>x = 11

</span>

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For questions 13 – 15, find x so that q || r. State the converse used.

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Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14. x=12; Converse used : Linear pair

15. x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

$\angle CBE =\angle DEB$ (Alternate interior angles )

So, 15x+3=108

15x=108-3

15x=105

$x=\frac{105}{15}$

x=7

So, x = 7 ; Converse : Alternate interior angles are equal .

14.

Refer the attached figure

Given q||r

$\angle PQT = \angle STQ$ (Alternate interior angles

So, $\angle PQT = \angle STQ=11x-28$

Now $\angle UTQ + \angle STQ = 180^{\circ}$ (Linear pair)

So,7x-8+11x-28=180

18x-36= 180

18x=216

$x=\frac{216}{18}$

x=12

So, x=12; Converse used : Linear pair

15.

Refer the attached figure

Given q||r

$\angle BDC+\angle CDE = 90+2x$

$\angle BDE=\angle PBC$ (corresponding angles)

90+2x=5x+21

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69=3x

23=x

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3 years ago

the mass of the sun is 2 x 10^30kg and the mass of earth is 6 * 10^24 kg. Approximately how many times greater is the mass of th

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Answer:

The mass of sun is 333333.33 times greater than the mass of earth

Step-by-step explanation:

Given as :

The mass of the sun = $2\times 10^{30}$ kg

The mass of earth = $6\times 10^{24}$ kg.

Let The mass of sun is x times greater than the mass of earth

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Or, x = $\dfrac{2\times 10^{30}}{6\times 10^{24}}$

Or, x = $\dfrac{2\times 10^{6}}{6}$

∴ x = 333333.33

So, The mass of sun = 333333.33 × The mass of earth

Hence, The mass of sun is 333333.33 times greater than the mass of earth Answer

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3 years ago

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Answer:

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