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ch4aika [34]
3 years ago
12

Can you prove that the quadrilateral is a parallelogram based on the information? Support your response with an explanation. (4

points)

Mathematics
1 answer:
kompoz [17]3 years ago
7 0
A: yes, because the opposite sides are congruent and parallel, it is a parallelogram.

b: yes, because the diagonals bisect each other, it is a parallelogram.
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Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
Maksim231197 [3]

Answer:

2p

Step-by-step explanation:

u got ig??

8 0
2 years ago
Rex drove 258.5 miles in 5.5 hours. what is his average rate of speed?
marta [7]

answer:

47

Step-by-step explanation:

258.5/5.5=47

3 0
2 years ago
A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s
Shalnov [3]
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3 
4.5 = x
x = 4.5
This is the length above the left hand. 

2x must be then 4.5*2 = 9 foot
This is the length below the left hand. 

Checking
4.5 + 9 + 1.5 = 15 foot 

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
6 0
3 years ago
Tom wants to buy a new house. He has $28,000 for an initial down payment. Assuming the down payment on the house must be 20% of
mr_godi [17]

Answer:

28000 x 5 = 140000

Step-by-step explanation:

Have a great day!

8 0
2 years ago
An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.
vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

<u>Calcium:</u>

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

20x+40y=2,200

<u>Vitamin A:</u>

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

60x+10y=1,100

Solve the system of two equations:

\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.

Divide each equation by 10:

\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.

From the second equation:

y=110-6x

Substitute it into the first equation:

2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50

6 0
3 years ago
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