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2 years ago

Please help I need the answer quick this assignment is almost due!

Mathematics

2 answers:

Svetach [21]2 years ago

3 0

The correct answer is x= -3

Lilit [14]2 years ago

3 0

Answer:

x = -3

Step-by-step explanation:

The two angles shown are <em>corresponding angles</em>, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

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Please i need help When is the product of the square root of a prime number and a nonzero rational number a rational number?

lidiya [134]

Answer:

The product of the square root of a prime number and a nonzero rational number is a irrational number.

Step-by-step explanation:

Given that,

When is the product of the square root of a prime number and a nonzero rational number a irrational number.

We know that,

Prime number :

Prime number is that number whose has a two factor. first factor is one and second is themselves.

The square root of a prime number is irrational number.

Rational number :

Rational number is that number which is in fraction form.

For example : $\dfrac{p}{q}$

Here, p and q are integers

We need to proof the product of the square root of a prime number and a nonzero rational number is a rational number

Using given data

Suppose, the square root = √5

Rational number = $\dfrac{2}{3}$

We need to calculate the product of the square root of a prime number and a rational number

Using formula of product

$R=P\timesQ$

Where, P = square root of a prime number

Q= rational number

Put the value into the formula

$R=\sqrt{5}\times\dfrac{2}{3}$

$R=\dfrac{2\sqrt{5}}{3}$

Hence, The product of the square root of a prime number and a nonzero rational number is a irrational number.

3 0

3 years ago

There are 12 boys and 8 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 15

worty [1.4K]

Answer:

156 for the girls and 96 for the boys.

Step-by-step explanation:

So I did 12x8 for the girls and I got 96. Although , for the boys I did 15x12 and got 156.

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4 years ago

You put $825 into a savings account at an interest rate of 5.2% compounded continuously. How much money will be in that account

leva [86]

Answer:

The final balance would be $1,038 after 4 years and 5 months.

Step-by-step explanation:

The final balance would be $1,038 and the total compound interest would be $213.

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2 years ago

Find the quotient. 9,270,000 100

Jet001 [13]

Answer: 92,700

Step-by-step explanation:

9,270,000 / 100 = 92,700

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3 years ago

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 95% sure that he

inn [45]

Answer:

The sample size is 183.

Step-by-step explanation:

Given:

σ = $1050, ppulatin standard deviation

99% confidence interval

Accuracy = +/- $200

The accuracy is given by

z*(σ/√n)

where

z* = 2.576 for 99% confidence level (from tables)

n = sample size

Therefore

2.576(1050/√n) = 200

√n = (2.576*1050)/200 = 13.524

n = 182.9

<em>The sample size is 183</em>

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6 0

3 years ago