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
Bezzdna [24]
2 years ago
8

Find the values of x and y.

Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Look at the picture.

We have the equation (1) 12x + 4y = 40.

We know, the sum of the acute angles in a right triangle is 90°.

Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90

Substitute (1) to (2):

40 + 17x - y = 90        <em>subtract 40 from both sides</em>

17x - y = 50   (3)

We have the system of equations:

\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3

Substitute the value of x to (3)

17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1

Answer: x = 3 and y = 1.

You might be interested in
A student takes an exam containing 1818 true or false questions. If the student guesses, what is the probability that he will ge
creativ13 [48]

Probability

p=66×100/1818=3.6303630363%

After rounding to 4 decimals:

p=3.6304%

8 0
2 years ago
Read 2 more answers
The number of polynomials having zeros as -2 and 5 is a)1 b)2 c)3 d)more than 3
WINSTONCH [101]

Answer:

d) More than 3.

Step-by-step explanation:

The polynomial (x - 5)(x + 2)  ( = x^2  - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:

- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.

3 0
3 years ago
What is the definition of an irrational number????
77julia77 [94]

Answer:

the irrational numbers are all the real numbers which are not rational numbers.

Step-by-step explanation:

7 0
3 years ago
Which of the following can be calculated using formula C= 2πr
Semenov [28]
Hello!

In this formula, C represents the circumference, as pi and r, the radius are in the equation. 2r is also equal to the diameter.

The answer is the circumference.

Hope this helps!
5 0
3 years ago
Read 2 more answers
How to find the area of a circle with a diameter of 5cm
Zinaida [17]

Answer:

19.63

Step-by-step explanation:

Find the radius

5 / 2 = 2.5

2.5² = 6.25

6.25 × π = 19.63

4 0
3 years ago
Other questions:
  • Find the x-intercept for 11x - 33y = 99
    9·1 answer
  • Difinition of sample space
    14·1 answer
  • Given line segment AC with the endpoint A(4,6) and midpoint B(-2,3), find the other endpoint C
    13·1 answer
  • Maria wants to plant grass in her backyard. Her backyard is in the shape of a rectangle. Its length is
    15·1 answer
  • The pages in Nisha s book are numbered from 1.She found that total number of 501 digids are used to write all the page numbers.F
    15·1 answer
  • Elephant<br> A. 30 kilograms<br> B. 90 grams<br> C. 5,000 grams<br> D. 5,000 kilograms
    5·2 answers
  • A blueprint of a barn is shown. The scale is 5 inches = 8
    13·1 answer
  • Use the intercepts to graph the equation.<br><br> 7x-5y=35
    15·1 answer
  • Evaluate (625/16)^1/4.Please answer correctly with detailed steps as soon as possible and I will mark you as brainliest​
    10·2 answers
  • Solve the simultaneous equations
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!