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
Anton [14]
3 years ago
8

Need Help, I do not understand.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

Answer:

11. x=8, y=30

12. w=63°, x=86°, y=38°, z=25°

13. x=18, y=15

Step-by-step explanation:

You have been studying the angles related to transversals and parallel lines, so you know alternate (interior or exterior) angles are congruent (equal) and same-side (interior or exterior) angles are supplementary. You also know that linear angles sum to 180°, the measure of an angle formed by a straight line.

The red arrows in these diagrams signify that the lines so marked are parallel, so the above relationships apply.

11. The diagonal line is a transversal of the top and bottom parallel lines, so the angle marked 5x° is equal to the angle marked 40°. Writing that relationship as an equation, you have ...

... 5x° = 40° . . . . . . . the relationship of the angles

... x = 40/5 = 8 . . . . divide the equation by 5° to find x

The angle marked 3y° and the angle marked with a right-angle symbol are same-side interior angles formed by the vertical transversal with the top and bottom horizontal lines. Hence those angles are supplementary.

... 3y° +90° = 180°

... 3y° = 90° . . . . . . . subtract 90°

... y = 90/3 = 30 . . . .divide by 3°

12. These problems make use of the sum of angles that form a line (180°) and the sum of angles in a triangle (180°).

Together 117° and w form a line, so ...

... 117° + w = 180°

... w = 63° . . . . . . . . . . subtract 117°

The angles of a triangle add to give 180°, so ...

... w + 31° + x = 180°

... 63° +31° + x = 180° . . . . . put in the known value for w

... x = 180° -63° -31°

... x = 86°

Together, x and 56° and y form a line, so the sum of their measures is 180°.

... x + 56° + y = 180°

... 86° + 56° + y = 180° . . . . put in the known value for x

... y = 180° -86° -56° . . . . . . subtract the constants on the left

... y = 38°

The sum of angles y, 117°, and z is 180°.

... 38° + 117° + z = 180° . . . . use the known value for y

... z = 180° -38° -117° . . . . . . subtract the constants on the left

... z = 25°

13. The relationships used in problem 11 also can be used here.

... 5x° + 90° = 180°

... x = (180° -90°)/5°

... x = 18

The angles involving y are same-side interior angles, so are supplementary.

... 5(y +11)° + (4y -10)° = 180°

... 5y +55 + 4y -10 = 180 . . . . . . eliminate parentheses, divide by °

... 9y +45 = 180 . . . . . . . . . . . . . collect terms

... y + 5 = 20 . . . . . . . . . . . . . . . divide by 9

... y = 15 . . . . . . . . . . . . . . . . . . . .subtract 5

You might be interested in
Describe the end behavior of the graphed function
Troyanec [42]

You have to consider the “ends” of the x-axis, the far right (for infinitely large values of x) and left (for infinitely small values of x) of the graph.

From the diagram above you can see that:

  1. When x\rightarrow -\infty, then y=f(x)\rightarrow 1 (notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1);
  2. When x\rightarrow \infty, then y=f(x)\rightarrow 1. (notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).

Answer: correct choice is D.

5 0
3 years ago
Square efgh has been reflected across the x axis and then reflected across the y axis which of the following transformations wou
tigry1 [53]
An 180-degreee rotation would return the square to its original position.
6 0
3 years ago
Read 2 more answers
(4 - x)(3+ 2x) = .................... ​
Norma-Jean [14]

Answer:

-2x^2+5x+12

Step-by-step explanation:

(4-x)(3+2x)

12-3x+8x-2x^2

12+5x-2x^2

-2x^2+5x+12

8 0
3 years ago
Select each unit fraction. A. 6 6 B. 1 8 C. 2 4 D. 1 3 E. 3 4
Drupady [299]
No unit fractions are shown. (Sometimes editing is required when you copy and paste your question text.)

Selections B and D have 1 as their first digit. We suspect those are supposed to be the unit fractions 1/8 and 1/3, respectively.
3 0
3 years ago
Free points u guys can have them
sertanlavr [38]
Hi thank u vvv much i am currently failing my bio class and in need of help
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the product ? (9t-4)(-9t-4)
    11·2 answers
  • Kate borrowed $400 from her friend she will repay this amount plus 3 percent simple interest after one year what is the total am
    9·2 answers
  • Please can anyone answer this algebra question? what is 5n+1=5n-1
    9·2 answers
  • How to find the perimeter of a diagram
    11·1 answer
  • DOMAIN:<br> RANGE<br> FUNCTION:<br><br> PLZZ HELP HURRYY‼️‼️‼️
    12·2 answers
  • A middle school with 375 students has 125 students in the eighth grade. Irene says that the eighth-grade class makes up of the s
    9·1 answer
  • Janice bought her mother a bunch of 10 flowers. Two of the flowers are daises. One half of the remaining flowers are tulips. Wri
    10·2 answers
  • John mows 1/3 of his lawn in 30 minutes. If he mows his lawn for 1 hour. How much can he mow?
    9·1 answer
  • Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. Explanation or report, Brainliest to best answer!
    6·2 answers
  • Define a variable and write an equation to find each number. Then solve.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!