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
kvasek [131]
3 years ago
5

Find the value of x and y. Show all your work neat and in order.

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

y => 29°

You might be interested in
Ralf spends 15 1/3 hours per month playing tennis. How many hours does he play tennis in a year?
s344n2d4d5 [400]
15 1/3 * 12=184 because 15 *12 *1/3

3 0
3 years ago
Round $18.937 to the nearest cent
inysia [295]
It would be $18.94, because the hundredths place is the penny.
8 0
3 years ago
Read 2 more answers
A cube has a volume of 64cm cubed. What is the area of one face of the cube?
goldfiish [28.3K]

Answer:

96 cm squared

Step-by-step explanation:

5 0
3 years ago
If you invest $1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two ye
Andre45 [30]
<span>First, we must calculate the amount that will be available after two years. This is given by: Amount = initial amount * (1 + interest rate)^time Amount = 1500 * (1 + 0.05)^2 Amount = $1,653.75 Therefore, the only items you can buy using this amount are the electronics worth $1,650</span>
3 0
3 years ago
Read 2 more answers
6. 14.8 divided by 0.08
Crazy boy [7]

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Where would i draw my reflection
    13·1 answer
  • Math Help Please??? Don't Answer If Unsure Please?
    5·1 answer
  • Find the radius of a circle with the given circumference. 6 square root of 2 pi in.
    7·1 answer
  • Eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equat
    9·1 answer
  • −3 2/7−(−5/7) plz help me
    11·2 answers
  • Determine if the two triangles shown are similar. If so, write the similarity statement.
    9·1 answer
  • A class counts how many vehicles drove past their school from 1:00pm to 2:00pm. There's 3 times as many cars as trucks
    7·1 answer
  • In 2006, there were 1,020,000,000 people worldwide using the Internet.
    7·1 answer
  • Function g is a transformation of the parent function f(x) = x?. The graph of the function is reflected across
    5·1 answer
  • HERE I AM AGAIN, HELPPPPP<br> ILL GIVE BRAINLIEST &lt;3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!