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
kramer
3 years ago
6

Angles α and β are the two acute angles in a right triangle, where α = 5x 3 + 20 and β = 2x 3 + 14. Find α.

Mathematics
2 answers:
Tom [10]3 years ago
7 0
The acute angles of a right triangle are complementary, so
  α + β = 90
  (5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
  7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
  7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
  x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7

Then the value of α is ...
  α = 5*24/3 +20 = 60
makkiz [27]3 years ago
7 0

Answer:

α = 56° is the answer.

Step-by-step explanation:

In a triangle sum of all angles = 180°

Since it's a right angle triangle therefore

α + β + 90° = 180°

α + β = 180 - 90 = 90°

Now we put the values of α and β given in the question.

α = 5x³ + 20 , β = 2x³ + 14

Equation becomes

5x³ + 20 + 2x³ + 14 = 90

7x³ + 34 = 90

7x³ = 90 - 34 = 56

x³ = 56/7 = 8

x³ = 2³

therefore x = 2

Now we put the value of x in angle α

α = 5x³ + 14 = 5×2³ + 14

α = 5×8 + 14 = 40 + 14 = 56

α = 56°

You might be interested in
What is 36ft=------yd
posledela
If you are asking how may yards are in 36 feet, I can help you on this!

There are 3 feet in a yard, so to find this out, you need to divide 36 by 3.
5 0
3 years ago
Read 2 more answers
Please help due in less than 3 hours!!!!!!!! When Anne biked down the canyon, she averaged 30 miles per hour. At this rate, how
bixtya [17]

Answer:

2 min.

Step-by-step explanation:

1h is 60 min so divide 60 by 30 and you get 2

3 0
3 years ago
Read 2 more answers
Solve for b. ab+c=d. 1.b=a+c/d 2.b=a/(c-d) 3.b=(d-c)/a
amm1812

Answer:3

Step-by-step explanation:

8 0
3 years ago
How many ounces are in a 12 lb bag of potatoes​
Readme [11.4K]

Answer:192 because id u do the math and multiply.

6 0
4 years ago
Fix the sentence by following the apostrophe rule.
Anika [276]
<span>Strong children's education is essential to the progress of any nation.
</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Izabella has an account balance of more than -$6. Is her debt greater than or less than $6? Explain.
    8·2 answers
  • Which expression is a perfect cube?<br> -8^21y^8<br> -64x^64y^64<br> -125x^9y^20<br> -126x^9y^18
    10·1 answer
  • If the expression is expanded, what is the coefficient of x ? <br><br>4(3x+5)
    15·1 answer
  • What does least common multiple
    7·1 answer
  • Write the prime factorization for 65,169
    14·1 answer
  • What is the solution to this linear system? Enter a value in each box to create an ordered pair,
    12·1 answer
  • What are other equations for (12-4) x7 =x
    8·1 answer
  • The area of a circle is 42.29m2.<br> Find the length of the diameter rounded to 1 DP.
    12·1 answer
  • 5x + 2 = 22 plzzzzzz hellpppp
    14·1 answer
  • Using addition rules, show how to add the two real numbers. 7 + (-14)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!