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
DENIUS [597]
3 years ago
9

Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; t

he labeled angles are 37.5º and 142.5º. x = 15; both labeled angles are 55º. x = 25; both labeled angles are 65º.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

You might be interested in
My homework lesson 2 order of operations
djyliett [7]
Not sure what your question is but if you are learning the order of operations you can use the phrase "Please Excuse My Dear Aunt Sally"....

Parentheses
Exponents
Multiplication from left to right
Division from left to right
Addition from left to right
Subtraction from left to right

Hope this help :)
3 0
3 years ago
Which of the following is the correct congruency statement for the triangles?
BabaBlast [244]

Answer:

abc to rqp is the right ans

4 0
3 years ago
(7^x)^y = 7 <br> What is x • y?
baherus [9]

Answer:

1

Step-by-step explanation:

It simplifies to 7^xy=7. That means that xy must equal 1 to make the equation true.

8 0
2 years ago
The forecast for week 13 is 747. ​(Enter your response rounded to the nearest whole​ number.) Specify the mean absolute deviatio
son4ous [18]

Answer:

a) MAD without the forecast = 43.71

MAD with the forecast = 45.59

b) MAPE = 0.097 = 9.7%

Step-by-step explanation:

642 602 656 747 663 618 731 726 679 737 664 740

Mean Absolute deviation is given as

MAD = [Σ|x - μ|]/N

We first calculate the mean

Mean = Σx/N

Mean = (642+602+656+747+663+618+731+726+679+737+664+740)/12

Mean = (8205/12) = 683.75

absolute deviations from the mean

|642-683.75| + |602-683.75| + |656-683.75| + |747-683.75| + |663-683.75| + |618-683.75| + |731-683.75| + |726-683.75| + |679-683.75| + |737-683.75| + |664-683.75| + |740-683.75|

Absolute deviations from the mean

41.75+81.75+27.75+63.25+20.75+65.75+47.25+42.25+4.75+53.25+19.75+56.25

= 524.5

MAD = [Σ|x - μ|]/N

MAD = (524.5/12)

MAD = 43.71

If we include the forecast on the 13th week

642 602 656 747 663 618 731 726 679 737 664 740 747

Mean = (8205+747)/13

Mean = 688.62

absolute deviations from the mean

|642-688.62| + |602-688.62| + |656-688.62| + |747-688.62| + |663-688.62| + |618-688.62| + |731-688.62| + |726-688.62| + |679-688.62| + |737-688.62| + |664-688.62| + |740-688.62| + |747-688.62|

Absolute deviations from the mean

= 46.62+86.62+32.62+58.38+25.62+70.62+42.38+37.38+9.62+48.38+24.62+51.38+58.38

= 592.62

MAD = (592.62/13)

MAD = 45.59.

b) MAPE is used to check forecast errors

MAPE = (1/N) Σ [|x-f|/x]

where N = Sample size = 12

x = each variable

f = the forecasted value = 747

x = 642, 602, 656, 747, 663, 618, 731, 726, 679, 737, 664, 740

Σ [|x-f|/x]

= 0.164+0.241+0.139+0+0.112+0.209+0.022+0.029+0.100+0.014+0.125+0.009

Σ [|x-f|/x] = 1.164

MAPE = (1.164/12)

MAPE = 0.097 = 9.7%

Hope this Helps!!!

7 0
3 years ago
Rewrite without parentheses and simplify.<br> (5x+6v)^ 2?
Tresset [83]

answer: 36v^2 +60vx +25x^2

4 0
3 years ago
Read 2 more answers
Other questions:
  • Pizza house offers 3 different​ salads, 2 different kinds of​ pizza, and 4 different desserts. how many different​ three-course
    8·1 answer
  • Express each quotient in the simplest form. 3/j divided by 9/j
    9·1 answer
  • Answer please I only need 3a and 3b ignore the rest
    12·1 answer
  • I NEED THIS NOW DILATIONS HELP ME PLS
    14·1 answer
  • Which of the following results from taking the square root of a negative
    12·1 answer
  • Select the equivalent expression <br> (x^8/x^6) ^(5/4)
    7·1 answer
  • Which expression is equivalent to the following?
    8·1 answer
  • Which expression is equivalent to (5x – 3)(x – 3)?
    8·1 answer
  • Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
    8·1 answer
  • What fraction with a denominator of 12 is equivalent to 1/4?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!