MATHEMATICS MIDDLE SCHOOL

Drag and drop a statement or reason to each box to complete the proof.Given: parallelogram EFGH

Prove: EG bisects HF and HF bisects EG.

Answers

Answer 1
Answer:

Answer:

Given : EFGH is a Parallelogram

Prove : EG Bisects HF , HF Bisects EG

Step-by-step explanation:

Proof

Check image below
Answer 2
Answer:

Answer:

Given Parallelogram EFGH

EG bisects HF and HF bisects EG, if and only if both the diagnols have same mid point.

Step-by-step explanation:

Step 01:

Let

E be the point (a,b)

F be the point (a',b)

G be the point (a',b')

H be the point (a,b')

Step 02:

Now find mid points of EG and HF

mid point of EG = ( (a+a')/(2), (b+b')/(2) ) and

mid point of HF = (  (a'+a)/(2),(b'+b)/(2) )

Since addition is commutative, and they have the same mid-point, so they bisect each other.

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What is less than 1/3

Answers

1/3

We know that 1/4 is smaller than 1/3. 

Answer: 1/4
Any number that has a greater denominator.
Such as
1/12
1/4
1/234
1/10000

10 coins have a mass of 45 grams. How many grams is one coin?

Answers

We can't tell from the information given.  We don't know how many
different types of coins there are.  All we know is that all 10 of them
on the scale at the same time have 45 grams of mass.

IF all the coins happen to be identical ... AND each one is worn down
the same amount, AND each one has the same amount of dirt and oil
on it ... then each one has (45/10) = 4.5 grams of mass. 

But those are some big IFs.
45 / 10 = 4.5

There are 4.5 grams in each coin.

Which is The most reasonable estimate for The measure of The angle

Answers

90 degrees. A right angle like this one is always 90 degrees.

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. What is the radius?

Answers

You are going to solve this in such a quick, slick way
that you will blink and not believe it.  Fasten your seat belt.

Here are the tools you'll need:

--  Volume of a cylinder  =  (pi) (radius)² (height)

--  Volume of a sphere  =  (4/3) (pi) (radius)³

Now ... the question says that your cylinder and your sphere
have the same volume.  Fine !  So you can immediately write
an equation saying that their volumes are equal.

                               (pi) (radius)² (height)  =  (4/3) (pi) (radius)³

Divide each side by pi:    (radius)² (height)  =  (4/3)       (radius)³

Divide each side by (radius)²        (height)  =  (4/3)        (radius)

Fill in the given height:                  (6 cm)    =  (4/3)      (radius)

Multiply each side by  3/4 :    (6 cm) x (3/4)  =             radius

I'm pretty sure that you can take over now and find the radius.

A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?

Answers

Answer:

The truck drove 44.445 miles per hour.

Step-by-step explanation:

Given:

Distance travelled driven by truck driver = 300 miles

Time taken = 6(3)/(4) hours.  

To find:

miles per hour did the driver drive=?

Solution:

Now, we know that, number of miles per hour is nothing but the speed of the truck.

we know that, distance = speed x time.

So, now, 300 miles = speed x 6 ¾ hours  

300 = speed* ((6*4+3))/(4)

300 = speed*((24+3))/(4)

300 = speed*(27)/(4)

Speed = 300*(4)/(27)

Speed = 100*(4)/(9)

Speed = (400)/(9)

Speed = 44.445
answer is 125 because you divide 300/6=50 

Properties to find the sum or products 5 times 23 time 2

Answers

5 × 23 × 2 = (5 × 2) × 23 = 10 × 23 = 230

I used the associative property of multiplication to find the product of 5, 23, and 2.

The product of 5, 23, and 2 is 230.
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