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Sloan [31]
3 years ago
9

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

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Read 2 more answers
Please help me. I will marks as Brainly if correct
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3 years ago
What is the approximate radius of a sphere with a volume of 34 cm3?​
xz_007 [3.2K]

Answer:

<h2>2.01 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

<em>R</em><em> - radius</em>

<em />

We have

V=34\ cm^3

Substitute:

\dfrac{4}{3}\pi R^3=34    <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}\pi R^3=(3)(34)

4\pi R^3=102         <em>divide both sides by 4</em>

\dfrac{4\pi R^3}{4}=\dfrac{102}{4}

\pi R^3=\dfrac{51}{2}          <em>divide both sides by π</em>

\dfrac{\pi R^3}{\pi}=\dfrac{\frac{51}{2}}{\pi}

R^3=\dfrac{51}{2\pi}   <em>use π ≈ 3.14</em>

\R^3\approx\dfrac{51}{(2)(3.14)}

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5 0
4 years ago
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