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 the sum of two numbers a and b decreased by their product?
belka [17]

The sum of two numbers a and b decreased by their product is (a+b)-ab

Step-by-step explanation:

Given the two numbers as a and b

Sum of these two numbers is a+b

The product of the two numbers is a*b, ab

The sum of the two numbers decreased by their product will be;

(a+b)-ab

Learn More

  • https://brainly.in/question/6082654
  • https://brainly.in/question/6940394

Keywords : sum of two numbers, product

#LearnwithBrainly

8 0
3 years ago
Why is the product of 9s diagonal?
Nadusha1986 [10]

Answer:

A. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

6 0
3 years ago
Write down one pro and one con of employment.
lapo4ka [179]

Answer:

Pro: Monthly income to pay bills, buy food ,etc

Con: You many feel tied down, you could get abused at work (taken advantage of)

8 0
2 years ago
A sphere with center A is shown. Which represents a radius?
Lunna [17]
A because radius is half of the diameter
5 0
2 years ago
Read 2 more answers
Helpp me pleasee (algebra)
antiseptic1488 [7]

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

8 0
3 years ago
Other questions:
  • Graph the line.<br> y - 2 = -3(x + 3)
    11·1 answer
  • Name the angle supplementary to COD
    10·1 answer
  • The locus of points that are 3 cm. from a given line, AB.
    14·1 answer
  • What is the length of AB?
    13·1 answer
  • Can someone please help? I’ll give brainliest!!
    6·1 answer
  • A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50
    6·1 answer
  • For positive acute angles A and B it is known that sinA= 35/37 and tanB= 7/24. find the value of (A-B)
    8·1 answer
  • What is the domain of the function?
    5·1 answer
  • F(x) = 3x, g(x) = 1/3f(x). Find g(0)
    13·1 answer
  • Help me it’s urgent
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!