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
GenaCL600 [577]
3 years ago
7

Given the following figure, what is the measure of angle B?

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

132°

Step-by-step explanation:


<u>Sum of the interior angles of a polygon</u> is given by the formula:

(n-2)*180

Where n is the number of sides of the polygon.


<u>The figure shows a 5 sided polygon (aka Pentagon). So the sum of all the angles is:</u>

Sum = (5-2)*180\\=3*180\\=540


<u>If we add up all the expressions/angles given and equate to 540, we can figure out x. So:</u>

84+13x+6+9x-16+92+12x=540\\34x+166=540\\34x=540-166\\34x=374\\x=\frac{374}{34}=11

<em>But angle B measures 12x, so plugging in x=11, we have:</em>

Angle B = 12x=12(11)=132°

Second answer is right.

You might be interested in
A study of a new medical procedure selected 27 candidates from a pool of 583 potential candidates.Each of the candidates had an
nikklg [1K]

The answer is random sampling

7 0
3 years ago
Hello,
Damm [24]

Answer:

  -1

Step-by-step explanation:

The axes on your graph are not labeled, so we have to assume they follow the usual convention. That is, the vertical axis is the y-axis, and the horizontal axis is the x-axis.

The x-coordinate tells how far to the left or right of the y-axis the point is. Here, point L is 1 grid square to the left of the vertical line that is the y-axis. If you follow the vertical line through L down to where it crosses the x-axis, you will see an unlabeled open circle there. (We don't know the purpose of that circle, but we call it to your attention so you know you're looking in the right place.)

Looking 4 more grid squares to the left of that point, you see the marking "-5". This tells you each grid square corresponds to one unit. Then the first one to the left of the y-axis (where the open circle is) has a value of -1. That is the value of the x-coordinate of point L.

The x-coordinate of point L is -1.

4 0
3 years ago
Anyone please, thanks
Mashcka [7]

Step-by-step explanation:

(2y - 3) = 45 \\ 2y = 48 \\ y = 24

5 0
3 years ago
Read 2 more answers
The probability mass function of X is f(x)= 1/6, x 1.2...,6 then find out the value
Mumz [18]

For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.

  • A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
  • The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
  • Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
  • Mean(μ) = (1+2+3+4+5+6)/6
  • Mean(μ) = 21/6
  • Mean(μ) = 3.5
  • The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
  • A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
  • σ² = E[X²]−μ²
  • σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
  • σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
  • σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
  • σ² = (91/6) - (3.5)²
  • σ² = 15.167-12.25
  • σ² = 2.917
  • σ = √2.917
  • Standard deviation (σ) = 1.708

To learn more about variance, visit :

brainly.com/question/14116780

#SPJ9

6 0
2 years ago
What is the answer to -4/22t -5/22t
marta [7]

Answer:

<h2>-9/22t</h2>

Step-by-step explanation:

Just do -4/22-5/22 = 9/22 and just add a t, which is 9/22t.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Distance formula: <br> Does the point (1, ) lie on the circle shown?<br> Explain.
    9·2 answers
  • Someone please help me with this question
    14·2 answers
  • If there are 31,536,000 seconds in one year how many seconds are in a millennium
    9·1 answer
  • Which of the following items are allowed in a class 5 clean room:
    11·1 answer
  • A shirt is on sale for 30%
    5·2 answers
  • Find the value of x in the equation below.<br><br> x+1=6
    5·1 answer
  • Mondo correctly finds the closest benchmarks for three numbers.
    10·1 answer
  • Graph the function <br> y=3/4sin1/2x
    12·1 answer
  • HELP PLS THE TEACHER ID MEAN LOL
    13·1 answer
  • Help me please!!<br>i need the answer now:(​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!