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belka [17]
2 years ago
11

Can someone help me pls?

Mathematics
2 answers:
Vadim26 [7]2 years ago
6 0

Answer:

you have to show the angels...

Lyrx [107]2 years ago
3 0

Answer:

x = 30

Step-by-step explanation:

Let the measure of ∠MKQ be x°.

It's given that:-

  • Measure of ∠JKL is twice the measure of ∠MKQ.

⇒ ∠JKL = 2∠MKQ

⇒ ∠JKL = 2x° _____ (eqn.1)

  • ∠JKL & ∠MKQ are complementary angles.

⇒ ∠JKL + ∠MKQ = 90°

⇒ 2x° + x° = 90°

⇒ 3x° = 90°

⇒ x° = \frac{90}{3} = 30

∴ Hence ,

  • ∠MKQ = 30°
  • ∠JKL = 2∠MKQ = 2×30 = 60°

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steposvetlana [31]

Answer:

∠TRS = 40°

Step-by-step explanation:

∠UTS is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠UTS = ∠TRS + ∠RST

9x - 15 = 3x + 16 + x + 9

9x - 15 = 4x + 25 ( subtract 4x from both sides )

5x - 15 = 25 ( add 15 to both sides )

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x = 8

∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°

4 0
3 years ago
The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?
victus00 [196]

Answer:

\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

S.A.=\dfrac{4}{3}\pi R^3

R - radius

We have R = 15in. Substitute:

S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2

If you want to get an approximation, then:

\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2

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3 years ago
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