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
avanturin [10]
3 years ago
11

Please help needed!!! Help me!!!

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

a = 85°

Step-by-step explanation:

<em>Method 1</em>

5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)

3x = 57°

x = 57/3 = 19°

a = 180 - 57 - 2x

a = 180 - 57 -2(19)

a = 85°

<em>Method 2</em>

2x + a + 57° = 180°

2x + a = 123° ==> 1

5x + a = 180°

x = (180° - a)/5 ==> 2

By substitution

2((180° - a)/5) + a = 123°

(360° - 2a)/5 + a = 123°

(360° - 2a)/5 = 123° - a

360° - 2a = 5(123° - a)

360° - 2a = 615° - 5a

-2a + 5a = 615° - 360°

3a = 255°

a = 85°

You might be interested in
Suppose a spider was able to create one thread that would extend from the top-right back corner of a room to the bottom-left fro
NNADVOKAT [17]

Answer:

d^2 = 30^2 + 12^2

e^2 = d^2 + 8^2

e^2 = 30^2 + 12^2 + 8^2

e = √(30^2 + 12^2 + 8^2) = 33.3 ft

7 0
3 years ago
Read 2 more answers
What is the slope of the graph?
Keith_Richards [23]

Use the coordinates of the two black dots:

(2,3) and (7,6)

Slope is the change in Y over the change in X:

Slope = (6-3) / (7-2)

Slope = 3/5

4 0
3 years ago
A pump moves 42 gal in 7 min find the unit rate
vredina [299]
The answer for this question is 6
6 0
3 years ago
Read 2 more answers
If the point (-4,7) is reflected over the y- axis, what are the new coordinates of the refelected point
Alex73 [517]
(4,7) cause its moving to the positive x side flipping on y axis the rule is (x,y) -> (-x,y) flipping over x axis the rule is (x,y) -> (x,-y) where - is opposite in each equation like a 5 turns into -5 or -3 turns into 3
3 0
4 years ago
In figuring his net income, Mr.Halkides listed his salary income of $15,000, $258 from his dividends,and $2562 from the sale of
Black_prince [1.1K]
Net income is all cost factors put together, so total income minus total expenses.

15000 + 258 + 2562 = 17820
1346 + 1598 + 48 = 2992
17820 - 2992 = $14828
5 0
3 years ago
Other questions:
  • What is the 8th term in the pattern 1,2,5,10,17
    5·2 answers
  • What is the...
    12·1 answer
  • HELP ASAP with this question.
    10·2 answers
  • What is 77.7% of $56.20
    10·1 answer
  • Which equation represents the line that passes through the points (-1,-2) and (3,10)?a.y = 3x + 1b.y = 3x - 1c.y = 4x + 2d.y = 4
    9·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.
    5·2 answers
  • ONLY ANSWER IF YOU KNOW, SHOW WORK
    9·1 answer
  • Please help me right away
    10·1 answer
  • What’s the missing number in the sequence 4, 16, ___, 255, 1024, 4096
    5·1 answer
  • Leo’s bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!