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3 years ago

What is the value of y for the parallelogram shown?

Mathematics

2 answers:

Furkat [3]3 years ago

5 0

Vertical angles are always congruent so it would be 22

dybincka [34]3 years ago

3 0

Opposite angles in a parallelogram have to be equal so

3y=66
y=22

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5x + 7 - 2(-8x -1) = 7(x - 1)

love history [14]

Step-by-step explanation:

$5x + 7 - 2( - 8x - 1) = 7(x - 1) \\ 5x + 7 + 16x + 2 = 7x - 7 \\ collecting \: like \: \: terms \: \\ 5x + 16x - 7x = - 7 - 2 - 7 \\ 14x = - 16 \\ divide \: both \: side \: by \: 14 \\ \frac{14x}{14} = \frac{ - 16}{14} \\ x = - \frac{ 8}{7}$

8 0

3 years ago

The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis

andreyandreev [35.5K]

Answer:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable $x$ to represent the money earned during fundraising activities and $M$ for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

$M = 60\%\ of\ x\\OR\\M = 0.6x$

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

$M = 0.6 \times 72\\\Rightarrow \$43.2$

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

$850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67$

So, the answers are:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

5 0

3 years ago

8x^-9+(-3x^-3y-2)(5/x^6y-2)

DaniilM [7]

$8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})$

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

goes to

$\frac{8}{x^9}+(\frac{-3}{x^3y^2})(\frac{5y^2}{x^6})$

now we can simplify the multiplied terms

$\frac{8}{x^9}+(\frac{-15}{x^9})$

Now that we have common bases, we can add the 2 fractions together to get

$\frac{-7}{x^9}$

8 0

3 years ago

Help please hurry i need done in 20 minutes

klemol [59]

Answer:

OKAY I WAS STRESSING FOR A QUICK MINUTE THINKING I WAS GETTING SOMETHING WRONG BUT THINK THE ANSWER IS CORRECT

So Cos0= 15/64 (SIMPLIFIED) or in decimal form 0.234375

Step-by-step explanation:

7/8² is 49/64 or (in decimal form) 0.765625

1 - 0.765625 = 0.234375

8 0

3 years ago

You are planning a survey of starting salaries for recent computer science majors. In a recent survey by the National Associatio

nydimaria [60]

Answer:

A sample size of 554 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation is known to be $12,000

This means that $\sigma = 12000$

What sample size do you need to have a margin of error equal to $1000, with 95% confidence?

This is n for which M = 1000. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1000 = 1.96\frac{12000}{\sqrt{n}}$

$1000\sqrt{n} = 1.96*12$

Dividing both sides by 1000:

$\sqrt{n} = 1.96*12$

$(\sqrt{n})^2 = (1.96*12)^2$

$n = 553.2$

Rounding up:

A sample size of 554 is needed.

5 0

3 years ago