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
kykrilka [37]
3 years ago
8

Can someone explain how to work this out?

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

You might be interested in
X² - 2X -35 WHAT IS THE ANSWER FOR THIS POLYNOMIAL
weeeeeb [17]

Answer:

(x-7)(x+5)

Step-by-step explanation:

-7 and 5 add up to 2 and multiply to -35

really need brainliest!!

6 0
3 years ago
Read 2 more answers
Solve for x (8x-27) (3x=58)
melomori [17]

Answer:

x=3.565

Step-by-step explanation:


5 0
3 years ago
Please help me I need help
Llana [10]

9514 1404 393

Answer:

  F.  x ≤ -5

Step-by-step explanation:

Translating the diagram to more conventional symbols, we have ...

  4x +12 ≤ -8

  4x ≤ -20 . . . . . . . subtract 12 from both sides

  x ≤ -5 . . . . . . . . . divide both sides by 5

7 0
3 years ago
You are at a restaurant and the check comes to a total of $20. If you want to leave a 20% tip, how much total money should you p
grandymaker [24]

Answer:

the total tip should be $24.00

7 0
3 years ago
Which set of values could be the side lengths of a 30-60-90 triangle?
jeyben [28]
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°,  angle B would be 60°, and angle C would be 90°

tan B = b/a
 or
a tan B = b

they have 4 as the smallest value in all four options, so we know that a=4

4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3

that leaves two options left, so now we find "c":

c^2 = (a^2) + (b^2)
OR
c= \sqrt{a^{2} + b^{2}}

c= \sqrt{4^{2}+(4\sqrt{3})^{2}}

c= \sqrt{16+48} \\ c=\sqrt{64} \\ c=8

so a=4, b=4√3, and c=8

Making your answer B
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the future value of the loan. $34300 loan at 3.5% for 4 months
    7·1 answer
  • Two positive, consecutive, odd integers have a product of 143.
    5·1 answer
  • An angle measures x. What is the measure of its complement? What is the measure of its supplement?
    13·1 answer
  • The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.
    10·1 answer
  • What number is the opposite from 6.8 <br> A. -6.8 <br> B. 8.6 <br> C. 68<br> D. -8.6
    15·1 answer
  • Help can’t find the answer
    15·1 answer
  • 9.054 x 10^-6 in standard form
    11·1 answer
  • If two dice are rolled one time, find the probability of getting a sum less than or equal to 4 ​
    6·1 answer
  • Please help me ASAP thank you !!
    13·1 answer
  • Find the area of the figure.<br> 10 cm<br> 4cm<br> 9 cm<br> 15 cm<br> square centimeter
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!