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kotegsom [21]
3 years ago
5

All of the angles of a quadrilateral are congruent. Can the quadrilateral be a parallelogram? Explain.

Mathematics
1 answer:
professor190 [17]3 years ago
4 0
It depends on the size of each angle. If a parallelogram has the same sizes of the quadrilateral then they could both be congruent. 

Hope this helps! :D
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Camile is packing seeds to send to her mother in law. She estimates that she needs a box with a volume of at least 6,856 cubic i
jekas [21]

Step-by-step explanation:

the volume of a box (or prism) is always

length × width × height

so, box A

13 × 12 × 16 = 2,496 in³

box B

18 × 25 × 16 = 7,200 in³

box C

12 × 14 × 22 = 3,696 in³

box D

20 × 22 × 17 = 7,480 in³

so, she can use B or D.

5 0
1 year ago
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how f
yaroslaw [1]

Answer: 12.69 miles approx

Step-by-step explanation:

let x represent the number of miles traveled

1.75 + 0.65x = 10

0.65x  = 8.25

x = 12.69 miles approx

3 0
3 years ago
Which model represent the factors of 4x2-9
lions [1.4K]

Step-by-step explanation:

4x²-9

4x²+6x-6x-9

4x²+6x-6x-9

2x(2x+3)-3(2x+3)

2x(2x+3)-3(2x+3)

(2-3)(2x+3)

solution

(8x-3)(2x+3)

6 0
2 years ago
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140
amm1812

Answer:

Option D is correct.

There are 34 nickels in the piggy bank.

Step-by-step explanation:

A piggy bank contains pennies, nickels and dimes.

Let the number of pennies be p

Let the number of nickels be n

Let the number of dimes be d

Also, note that 1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

- The number of dimes is 15 more than the number of nickels.

d = 15 + n

- There are 140 coins altogether totaling $7.17.

p + n + d = 140

0.01p + 0.05n + 0.1d = 7.17

Bringing the 3 equations together

d = 15 + n (eqn 1)

p + n + d = 140 (eqn 2)

0.01p + 0.05n + 0.1d = 7.17 (eqn 3)

Substitute (eqn 1) into (eqn 2)

p + n + d = 140

p + n + (15 + n) = 140

p + 2n + 15 = 140

p = 140 - 15 - 2n = 125 - 2n

p = 125 - 2n (eqn 4)

Substitute (eqn 1) and (eqn 4) into (eqn 3)

0.01p + 0.05n + 0.1d = 7.17

0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7

1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17

0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17

0.13n + 2.75 = 7.17

0.13n = 7.17 - 2.75 = 4.42

0.13n = 4.42

n = (4.42/0.13) = 34

d = 15 + n = 15 + 34 = 49

p = 125 -2n = 125 - (2×34) = 125 - 68 = 57

Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.

Hope this Helps!!!

7 0
3 years ago
line p contains points A(-7,-9) and B(4,0) line q is parallel to line p line r is perpendicular to line q what is the slope of l
igomit [66]
Use the slope formula (y2-y1)/(x2-x1)
(0+9)/(4+7)=9/11
Since q is parallel to r the slope will be the same. 9/11 is the slope of line r
4 0
3 years ago
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