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
Bas_tet [7]
3 years ago
15

What are the measures of angles B and C

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

In a parallelogram opposite angles are equivalent so B=D and A=C.

If B=D, 3n + 20 = 6n - 25; add 25 to both sides

3n + 45 = 6n; subtract 3n from both sides

45 = 3n; divide both sides by 3

15 = n; substitute 15 for n to find the value of angle B;

3(15) + 20 = B

45 + 20 = B

65° = B

Angles C and B are supplementary, which means that when added they equal 180°

so 180 = 65 + C

115 = C

Your answer is choice B

You might be interested in
Can someone please help me its a short quiz
Marrrta [24]

Can't see

Step-by-step explanation:

The rest of the page, upload again?

4 0
3 years ago
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel align
sasho [114]

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; \frac{}{X}= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; \frac{}{Y}= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95

a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

4 0
3 years ago
What are the values of x and y​
andrey2020 [161]
X is 35 degrees and Y is 70 degrees
3 0
2 years ago
Four examples of parallel lines​
MatroZZZ [7]

Answer:

Step-by-step explanation:

Parallel line examples in real life are railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc

5 0
3 years ago
Whut is the soluton of when multiplying by 3
saveliy_v [14]
The answer of this is 3,6,9,12,15,18,21,24,27,30,33,36,39,...
4 0
3 years ago
Other questions:
  • Which would not be a step in solving 5x + 15 + 2x = 24 + 4x?
    11·2 answers
  • Which statement correctly compares the value in the statement? |-0.073| blank |0.73|​
    6·2 answers
  • How many real solutions does the equation y=12x-9x+4 have?
    13·1 answer
  • Round $299.51 to the nearest dollar.
    5·1 answer
  • You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
    7·1 answer
  • 4.7x 10^-1 as an ordinary number
    6·1 answer
  • PLEASE HELP ME WITH THIS ONE QUESTION
    14·1 answer
  • Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20-pound mixture. If the mixture
    10·1 answer
  • Choose the equation one must solve to answer the question.
    12·1 answer
  • A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other co
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!