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
grin007 [14]
2 years ago
10

Help needed desperately

Mathematics
1 answer:
Aneli [31]2 years ago
8 0

Answer:

80° , 100°, 80°

Step-by-step explanation:

∠ 1 and ∠ 2 form a straight line and sum to 180° , then

2x + 40 + 2y + 40 = 180

2x + 2y + 80 = 180 ( subtract 80 from both sides )

2x + 2y = 100 → (1)

∠ 1 and ∠ 3 are vertical angles and are congruent , then

2x + 40 = x + 2y ( subtract x from both sides )

x + 40 = 2y ( subtract 40 from both sides )

x = 2y - 40 → (2)

Substitute x = 2y - 40 into (1)

2(2y - 40) + 2y = 100

4y - 80 + 2y = 100

6y - 80 = 100 ( add 80 to both sides )

6y = 180 ( divide both sides by 6 )

y = 30

Substitute y = 30 into (2)

x = 2(30) - 40 = 60 - 40 = 20

Thus x = 20 and y = 30

Then

∠ 1 = 2x + 40 = 2(20) + 40 = 40 + 40 = 80°

∠ 2 = 2y + 40 = 2(30) + 40 = 60 + 40 = 100°

∠3 = x + 2y = 20 + 2(30) = 20 + 60 = 80°

You might be interested in
Determine whether the statement a through d about f,g and h are true or false
zalisa [80]

Answer:

n

               Step-by-step explanation:n

6 0
2 years ago
Which graph represents the function f(x) = (x - 5) + 3?
Bogdan [553]

Answer:

It's exponential function, the base is 5.

Horizontal asymptote is y = 0

At x = 0, y = 3

x = 1, y = 15

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
How to solve multi step inequality
iVinArrow [24]

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

5 0
3 years ago
Kenya dose the pole vault for her school's track team. Her record is 2 meters 86 centimetres. How many millimetres is Kenya's re
kvv77 [185]

Answer:

2860

Step-by-step explanation:

First, convert 2 meters into cm and then convert to mm. m to cm+200cm cm-mm= 2000. Then turn 86 centimetres into mm which is 860 mm. Lastly 2000+860=2860. Hope this helps

6 0
2 years ago
Read 2 more answers
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola
Vlada [557]

why isn't there a sig n between the 3(x+5)2-4

4 0
2 years ago
Other questions:
  • Mario travels 180 miles in 2.5 hours if Mario travels at the same re how for can Mario travel in 7.5 hours
    12·1 answer
  • Which is one way to check 102 ÷ 6 = 17? A. 105 ÷ 5 = 21 B. 105 ÷ 10 = 10.5 C. 100 ÷ 5 = 20 D. 102 ÷ 10 = 10.2
    9·2 answers
  • -5x+10x+3=5x+6<br> Along with an explanation please.
    13·1 answer
  • What is the order of these numbers from least to greatest <br> 1 4/5, 1/2, -3 7/8, -7/9, -3/5
    7·1 answer
  • Round 919,827 to each place value in the table
    9·2 answers
  • 5, -<br> 13<br> 4<br> , -3, <br> 16<br> 5<br><br> Order this set of numbers from LEAST to GREATEST.
    14·2 answers
  • Consider the algebraic equation x+6=x+9. What values could we substitute for x to make it a true number sentence
    13·1 answer
  • The rate of change in sales S is inversely proportional to time t(t &gt; 1) measured in weeks. Find S as a function of t if sate
    5·1 answer
  • Choose Yes or No to tell if the fraction
    6·1 answer
  • What is 4/5 = 12/blank | Equivalent Fractions
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!