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3 years ago

Now find the measure of ∠YOZ. Which angle relationship did you use?

Mathematics

2 answers:

Vlad1618 [11]3 years ago

7 0

Answer:

m∠YOZ = 60°

Step-by-step explanation:

Because it's given that m∠VOX = 90° and m∠WOX = 30°, we can find that m∠VOW = 60°.

Using the Vertical Angles Congruence Theorem, we can identify m∠YOZ = 60° because VY and WX are intersected, meaning their vertical angles are congruent.

wel3 years ago

3 0

Answer:

m∠YOZ = 60°

Step-by-step explanation:

Because it's given that m∠VOX = 90° and m∠WOX = 30°, we can find that m∠VOW = 60°.

Using the Vertical Angles Congruence Theorem, we can identify m∠YOZ = 60° because VY and WX are intersected, meaning their vertical angles are congruent.

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Which choice is equivalent to the expression below?

Phantasy [73]

Hello! The answer should be B: 6i $\sqrt{6$ . Since the square root is above a negative, an imaginary number would come out. Because of this, you can easily recognize that it would be B.
However, if you can't, you could use the calculator to check (ignoring the negatives), 6 $\sqrt{6$ is equal to $\sqrt{216}$ .
The final answer should be B.

7 0

3 years ago

Read 2 more answers

Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

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3 years ago

The diameter of a spherical basketball is 10in, what is the volume of the basketball?

lutik1710 [3]

Attached solution with work.

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3 years ago

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Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us

erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

<u>Step-by-step explanation:</u>

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

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3 years ago

Joe paid 14.00 for a board game this is 70% off the original price what is the original price?

soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

$x\times \frac{70}{100}=14$

$x\times \frac{7}{10}=14$

Multiply both sides by 10.

$7x=140$

Divide both sides by 7.

$x=20$

The original price is 20. Therefore the correct option is B.

6 0

3 years ago