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DanielleElmas [232]
2 years ago
9

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

Mathematics
2 answers:
agasfer [191]2 years ago
8 0

Answer:

A right angle measures 90°.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

bearhunter [10]2 years ago
8 0

Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

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Answer: C. -102 + (-25.5)
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3 years ago
Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number
sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable <em>X</em> is:

E(X)=\sum x\cdot P(X=x)

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.

The probability distribution of <em>X</em> is as follows:

Number on spinner:   1           2           3          4           5              6

Amount earned (<em>X</em>):   $1        $4         $7        $10     -$8.75     -$8.75

Probability:                 1/6       1/6         1/6        1/6         1/6           1/6

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x\cdot P(X=x)

         =(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})

         =\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}

         =\frac{1+4+7+10-8.75-8.75}{6}

         =0.75

Thus, the expected value of playing the game is $0.75.

5 0
3 years ago
What is one fourth divided by 2
S_A_V [24]
One fourth is the same as 1/4 1. 2 ÷ 4. 1 Reciprocal 1. 1 × 4. 2 Multiply normally. 1/8=answer
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3 years ago
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Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr
almond37 [142]

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

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784/4 = 196

196 * 4 = 784

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