1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masya89 [10]
3 years ago
8

Need the value for x and y

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

B. x = 20, y = 128

Step-by-step explanation:

( 3x - 8 ) and ( 2x + 12 ) are vertically opposite angles.

Vertically opposite angles are equal.

3x - 8 = 2x + 12

3x - 2x = 12 + 8

x = 20

( 3x - 8 ) + y = 180 ( Reason : Linear pair )

3 ( 20 ) - 8 + y = 180

60 - 8 + y = 180

52 + y = 180

y = 180 - 52

y = 128

You might be interested in
A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=918 and x=521 who said​ "
s2008m [1.1K]

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In the​ poll, n=918 and x=521 who said​ "yes."

This means that n = 918, \pi = \frac{521}{918} = 0.5675

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

B) Identify the value of the margin of error E.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.5675*0.4325}{918}} = 0.0269

The margin of error is 0.0269.

C) construct the confidence interval.

\pi \pm M

So

\pi - M = 0.5675 - 0.0269 = 0.5406

\pi + M = 0.5675 + 0.0269 = 0.5944

The confidence interval is (0.5406, 0.5944).

5 0
3 years ago
A farmer plants the same amount every day, adding up to 413 acres at the end of the year. If the year is 58 over, how many acres
puteri [66]

Using proportions, it is found that the farmer has planted 258 acres.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He plants 413 acres during the entire year, hence, considering he plants an equal amount daily, and the year is 5/8 over, the amount he has planted is:

A = (5/8) x 413 = 258 acres.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from ne
solong [7]

Answer:

B A C

Step-by-step explanation:

It is what it is

7 0
4 years ago
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms o
schepotkina [342]

C) six times log base two of x times seven times log base two of y minus log base two of eight.

5 0
4 years ago
Given ABC find the values of x and y. In your final answer, include all of your calculations.
kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be \frac{x}{6} =\frac{6}{x-9}


Firstly, cross-multiply: x^2-9x=36


Next, subtract 36 on both sides: x^2-9x-36=0


Next, replace -9x with 3x-12x x^2+3x-12x-36=0


Next, factor x^2+3x and -12x-36 separately: x(x+3)-12(x+3)=0 . After, rewrite it as (x-12)(x+3)=0


Next, solve for x separately in the two parentheses:

x-12=0\\ x=12

x+3=0\\ x=-3


Since we can't have a negative length, x = 12.



To solve for y, our proportion will be \frac{y}{9} =\frac{12}{y}


Firstly, cross-multiply: y^2=108


Next, just square root each side, and your answer will be (rounded to hundredths) y=10.39



In short, x = 12 and y = 10.39.

5 0
3 years ago
Other questions:
  • Find the indicated derivative.
    12·1 answer
  • Explain an example of how taking an amount (for example, $20), decreasing it by 40% and then increasing that amount by 40% does
    7·1 answer
  • Verify the identity: <br><br> cos 4x + cos 2x = 2 - 2 sin2 2x - 2 sin2 x
    14·2 answers
  • HELP. A triangle is dilated by a scale factor of 2 and the area of the original figure is x units.
    15·1 answer
  • What is the decay constant for plutonium 240 if it's half life is 6,300 years ?
    13·1 answer
  • a narrow rectangle banner is 5 inches wide it is 6 times long as it is wide draw a diagram of the banner and label it's dimensio
    13·2 answers
  • If si A / 1+ cosA 1+cosA / sin A = 4, prove A = 30​
    14·1 answer
  • a train traveled 90 miles in 1 1/2 hours. How many miles will it travel in 6 hours going at the same rate.
    15·1 answer
  • Find the slope of the line that passes through Point A (-3, 5) and Point B (-6, 7), using m
    13·1 answer
  • Write the logarithmic equation in exponential form.<br> 1.609 In 5<br> ?^?=5?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!