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
WILL MARK BRAINLIEST Given a the line y=2.5x+4, find line whose graph: b intersects with the graph of the given line.
valentina_108 [34]
Your equation will be y=4x-1 and the intersection point will be (2,9). Hope this helps!

7 0
3 years ago
3(2y-3)=27 what is my answer
Liula [17]
Step one- distribute
6y-9=27
Step 2- subtract 9 on both sides
6y=18
Step 3 divide on both sides
Y=3
8 0
3 years ago
Read 2 more answers
Given that a­­^b = x, evaluate the following:<br><br><br>2a^3b +a^2b +a^b
8090 [49]

Answer:

  2x^3 + x^2 + x

Step-by-step explanation:

For ...

a^{b}=x

The expression ...

2a^{3b}+a^{2b}+a^{b}

can be rewritten as ...

2(a^{b})^3+(a^b)^2+(a^b)=2x^3+x^2+x

5 0
3 years ago
Find the interior angles of a regular polygon which has 6, 10 and 20 sides​
andrew-mc [135]

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

4 0
2 years ago
Help me with question plz
rewona [7]

Answer:

41

Step-by-step explanation:

What I did was I took 180, 85 and 54 and subtracted them to get 41 if it is wrong i am so very sorry

7 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements bestdescribes the m
    7·1 answer
  • What is the expanded form for 11,760,825
    8·1 answer
  • I need help pls i have to be done by 2
    6·1 answer
  • A map has a scale of 3 centimeters = 26 kilometers. If two cities are 7 centimeters apart on the map, what is the actual distanc
    13·1 answer
  • Draw a diagram similar to the one above to represent 1/2 - 3/8
    6·1 answer
  • Larisa buys 5 hats at 9.99 each how much does she spend
    6·1 answer
  • For some job the rate will be set by a minimum specified in the fair labor standards act
    15·1 answer
  • &lt;A and &lt;B are vertical
    8·1 answer
  • When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least
    12·1 answer
  • There is a ratio of 5 boys to 11 girls in our class. What is the total number of students if there are 6 boys?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!