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
Artist 52 [7]
3 years ago
7

One angle of the following triangle measures 2x. How many degrees does that angle

Mathematics
1 answer:
ella [17]3 years ago
3 0

<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

<u>Explanation</u><u>:</u><u>-</u>

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

You might be interested in
What will it cost to carpet a rectangular floor measuring 12 feet by 15 feet if the carpet costs $ 31.65 per square​ yard?
kaheart [24]

Answer:

$633

Step-by-step explanation:

You multiply the 12x15 feet by 31.65

8 0
3 years ago
PLEASE HELP!!! use the pic to understand the question
AURORKA [14]

Answer:

this is confusing. I'll try my best to sort it out for you. I'll tap in once I figure it out

6 0
3 years ago
(50 POINTS - WILL GIVE BRAINLIEST TO MOST HELPFUL ANSWER)
cricket20 [7]

Answer:

Part A:

x + y = 80

x + 20 = y

Part B:

Pam spends 30 minutes practicing math every day.

Part C:

It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.

Step-by-step explanation:

Part A:

"She spends 80 minutes every day practicing dance and math."

x + y = 80

"She dances for 20 minutes longer than she works on math."

x + 20 = y

Part B:

Solve for x:

x + 20 = y

Isolate variable x:

x = y - 20

Plug in this new value for the first equation:

y - 20 + y = 80

Combine like terms:

2y - 20 = 80

Isolate variable y:

2y = 100

y = 50

Plug in the new value of y into any equation:

x + 50 = 80

Isolate variable x:

x = 30

Part C:

x + 20 = y

x + 20 = 60

x = 40

x + y = 80

40 + 60 = 80

100 = 80

Impossible.

8 0
3 years ago
Read 2 more answers
What is the prime factorization of 125
Sergeu [11.5K]

Answer:


Step-by-step explanation:

125 is a composite number. 125 = 1 x 125 or 5 x 25. Factors of 125: 1, 5, 25, 125. Prime factorization: 125 = 5 x 5 x 5, which can also be written 125 = 5³.

3 0
3 years ago
Is 2 a solution of 4x +12=4?
mojhsa [17]

Answer:

no

Step-by-step explanation:

4x +12 = 4

4(2) +12 =/= 4

8 +12 =/= 4

8 +12 = 20

(sorry if it doesn't make sense,I tried)

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the sum of the terms of the series (−1) + (−2) + (−3) + . . . + (−10)?
    12·1 answer
  • A worker can complete the assembly of 15 tape players in 6hours. At this rate, how many can the worker complete in a 40-hour wor
    11·1 answer
  • What is the answer 6v(2v + 3)
    11·2 answers
  • What is the solution to 11=c/-5 8?
    14·1 answer
  • An ice cream cone has a radius of 1.5 inches and a height of 5 inches.
    9·1 answer
  • a parabola has x intercepts of -1 and 3 it passes through the point (1,6) write the equation if the parabola
    8·1 answer
  • Goldie Goldfish, a speed swimmer, loves to race around the park’s pond, which is about 0.5 miles around. If she can swim 20 laps
    10·1 answer
  • Please help will mark brainliest..!
    5·1 answer
  • The equation of four lines are given below:
    9·1 answer
  • Find m2ABC.<br> Ad<br> 37°<br> 21°<br> B<br> m/ABC =<br> C
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!