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Lynna [10]
2 years ago
7

Helppp outt plss....​

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0
<h3>Answers:  x = 30 and y = 150</h3>

============================================================

Explanation:

For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.

One pair of such angles is A and C

A+C = 180

x+y = 180 is one equation to form

The other pair of supplementary angles is B and D

B+D = 180

y-45+2x+15 = 180

2x+y-30 = 180

2x+y = 180+30

2x+y = 210 is the other equation to form

--------------

So the system of equations we have is

\begin{cases}x+y = 180\\2x+y = 210\end{cases}

Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.

  • The x terms subtract to x-2x = -x
  • The y terms subtract to y-y = 0y = 0, so the y terms go away
  • The right hand sides subtract to 180-210 = -30

We end up with -x = -30 which solves to x = 30

--------------

Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y

Let's say we picked on the first equation

x+y = 180

30+y = 180

y = 180-30

y = 150

Or we could pick on the second equation

2x+y = 210

2(30) + y = 210

60+y = 210

y = 210-60

y = 150

Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.

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PLEASE HELP ME????( Brainlest) Please Show Work???
REY [17]

Step-by-step explanation:

again, 2 unknowns.

x = number of 2- points baskets

y = number of 3- points baskets

we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.

x + y = 37

which gives us e.g.

x = 37 - y

and we know that with this unknown mixture they scored 80 points.

so,

2x + 3y = 80

as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.

so, again our 2 equations :

x = 37 - y

2x + 3y = 80

remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :

2×(37 - y) + 3y = 80

74 - 2y + 3y = 80

74 + y = 80

y = 6

and from

x = 37 - y

we get

x = 37 - 6 = 31

so, they had 31 2-points throws and 6 3-points throws.

3 0
2 years ago
Isabel found 54 coins at the bottom of her backpack. when she looked, she noticed they were only nickels and dimes. Isabel count
goblinko [34]

She had 23 nickles and 31 dimes

Step-by-step explanation:

The given is:

  • Isabel found 54 coins at the bottom of her backpack
  • She noticed they were only nickels and dimes
  • Isabel counted the coins and they totaled $4.25

We need to find how many nickels and dimes she had

Assume that the number of nickels is x and the number of dimes is y

∵ Isabel had 54 coins

∵ The number of nickels is x

∵ The number of dimes is y

∴ x + y = 54 ⇒ (1)

∵ 1 nickle = 5 cents

∵ 1 dime = 10 cents

∵ The coins totaled $4.25

- Change the dollars to cents

∵ 1 dollar = 100 cents

∴ $4.25 = 4.25 × 100 = 425 cents

- Multiply the number of nickles by 5 and the number of dimes

  by 10, add the two products and equate the sum by 425

∴ 5x + 10y = 425 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -155

- Divide both sides by -5

∴ x = 23

Substitute the value of x in equation (1) to find y

∵ 23 + y = 54

- Subtract 23 from both sides

∴ y = 31

She had 23 nickles and 31 dimes

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
3 years ago
Two types of barrel units were in use in the 1920s in the united states. the apple barrel had a legally set volume of 7056 cubic
r-ruslan [8.4K]
1.) 7,056 * 41 = 289,296 (apple barrel volume * no. of barrels sold)
     5,826 * 41 = 238,866 (cranberry barrel volume * no. of barrels sold)

2.) Subtract cranberry barrel volume from apple barrel volume
    289,296 - 238,866 = 50,430 cubic inches

3.) Convert 50,430 cubic inches to liters
     50,430 = 826.39 liters or 826.40 liters (rounded off)

4.) Therefore, 826.40 liters is the discrepancy in the shipment volume.
3 0
3 years ago
In this figure, a and b are<br>A. vertical<br>B. equal<br>C. complementary.<br>D. supplementary.
Andreas93 [3]
It is a supplementary angle. D because the add up to 180.
8 0
3 years ago
Evaluate the expression when c=4 and d=48. d-6c​
Rama09 [41]

Answer:

24

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

24

5 0
2 years ago
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