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
KengaRu [80]
3 years ago
14

Please help me find x and y value?

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

Answer:

x = 24

y = 19

Step-by-step explanation:

From the picture attached,

m(∠CAB) = (5y - 23)° [Vertically opposite angles]

By applying triangle sum theorem in ΔABC,

(5y - 23)° + (2x + 13)° + 47° = 180°

2x + 5y = 143 -----(1)

(3x)° = (5y - 23)° [Corresponding angles]

3x - 5y = -23 -----(2)

By adding equation (1) and (2)

(2x + 5y) + (3x - 5y) = 143 - 23

5x = 120

x = 24

From equation (2)

3(24) - 5y = -23

72 - 5y = -23

5y = 95

y = 19

You might be interested in
Round 3.993 to the nearest hundredth
3241004551 [841]
The Correct Answer Would Be 4.00
7 0
3 years ago
What is the least common denominator (LCD) for these fractions? 1/12and3/4? 4 12 16 48
luda_lava [24]

Answer:

12

Step-by-step explanation:

1/12 is reduced to its lowest point.

3/4 can be increased to 9/12 by:

\frac{3}{4} × \frac{3}{3} = \frac{9}{12}

So, the least common denominator is 12.

4 0
4 years ago
A farmer makes two adjacent rectangular paddocks with 200 feet of fencing. a) Express the total area () in square feet as a func
Bumek [7]

Answer:

A = (100 - y)y

Maximum area = 2500 sq. feet.

Step-by-step explanation:

Let the length of the combined rectangular area is y feet and the shared width is x feet.

So, perimeter of the two rectangle together is (3x + 2y) = 200 {Given}

⇒ 2y = 200 - 3x

⇒ y= \frac{1}{2} (200 - 3x) ...... (1).

a) Now, area of the total plot in sq. feet is A = xy = \frac{1}{2} (200 - 3x)x ........ (2)

So, this is the expression for area A in terms of length of shared side x.

b) For area to be maximum the condition is \frac{dA}{dx} = 0

Now, differentiating equation (2) on both sides with respect to x we get

\frac{dA}{dx} = 100 - 3x = 0

⇒ x = 33.33 feet.

So, from equation (1) we get y= \frac{1}{2} (200 - 3x)

⇒ x = 50 feet.

So, the value of maximum area = 50 × 33.33 = 1666.5 sq. feet. (Answer)

8 0
3 years ago
Please help me with math pleaseeeeee!!!
pav-90 [236]

Answer:

(2, 6) and (-3, -4)

I think, sorry if wrong


Step-by-step explanation:


6 0
3 years ago
Can someone please help with this!
Sever21 [200]

mathpapa should n could help

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line?
    12·1 answer
  • Please help i cant figure out how to do this stupid problem
    10·2 answers
  • PLEASE HURRY ITS TIMED AND ITS 20 POINTS
    7·2 answers
  • Is the relation a function? If so why or why not? {(-3,2),(-1,0),(1,0),(5,-2)}
    11·1 answer
  • Does (–2, 0) make the equation y = x true?
    6·1 answer
  • The table shows the running speeds of 10 randomly selected grizzly bears.
    9·1 answer
  • Water is filling a pool at a rate of 5 gallons per minutes. Write equivalent ratios for the first 5 minutes of the pool filing u
    14·1 answer
  • How do you make it 8
    15·2 answers
  • 7 1/5 improper fraction
    7·2 answers
  • Which of the following is the graph of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!