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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics

1 answer:

djyliett [7]3 years ago

4 0

To solve this problem you must apply the proccedure shown below:
To match each equation with its y-intercept x must be zero, so you have:
x=0 and solve for y, as following:

1) cx+by=a (0,a/b)
y=a/b
2) bx+ay=c (0,c/a)
y=c/a
3) ax+by=c (0,c/b)
y=c/b
4) cx+ay=b (0,b/a)
y=b/a

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

$\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\$

6 0

3 years ago

Can someone help me pls

nikitadnepr [17]

Answer:

D NO IS THE WRITE ANSWER .

5 0

3 years ago

What is the length of side AB as shown on the coordinate plane?

Alenkinab [10]

6 units (or whatever you’re measuring in)

Each little square represents 1 unit.

8 0

3 years ago

A microwave is placed on top of two boxes. One box is 2 feet 4 inches tall, the other box is 2 feet 11 inches tall, and the micr

Nikolay [14]

Answer:

9 feet 1 inch

Step-by-step explanation:

So, to get the answer we want to add the heights of the boxes.

2 feet, 4 inches + 2 feet 11 inches = 4 feet 15 inches. 4 feet 15 inches + 3 feet 10 inches = 7 feet and 25 inches. 25 inches is equal to 2 feet and 1 inch, so we end up with 9 feet and 1 inch as our answer.

3 0

3 years ago

Need help!! I can't figure this out

Sidana [21]

9514 1404 393

Answer:

12. $1,035,057.23

13. $988,881.23

14. $7,762.93

15. $8,686.16

16. $967,647.66

Step-by-step explanation:

The annuity and amortization formulas are used for problems like this.

sum of monthly payments = P((1 +r/12)^(12t) -1)/(r/12)

monthly amount available = P(r/12)/(1 -(1 +r/12)^(-12t))

12. The sum of monthly payments of 74, accumulated at 9% compounded monthly for 52 years is ...

A = ($74)((1 +.09/12)^(12·52) -1)/(.09/12) = $1,035,057.23

13. The total of payments is ...

$74×12×52 = $46,176

So, the interest earned is ...

$1,035,057.23 -46,176 = $988,881.23

14. The amount available in perpetuity is the monthly interest on this account balance.

$1,035,057.23 × .09/12 = $7,762.93

15. The monthly amount available for 25 years is found from the amortization formula:

A = $1,035,057.23(.09/12)/(1 -(1 +.09/12)^(-12·25)) = $8686.16

16. The amortization formula is used for this, too.

8066 = P(.094/12)/(1 -(1 +.094/12)^(-12·30)) = 0.00833568P

P = $8066/0.00833568 = $967,647.66

7 0

2 years ago