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Tasya [4]
2 years ago
8

If both diagonals of a quadrilateral bisect each other when is the quadrilateral a parallelogram?

Mathematics
1 answer:
slamgirl [31]2 years ago
6 0
It is more than just a quadrilateral. In fact it is going to be hard to pick.

These facts suit a square,  a rectangle, a rhombus, and a parallelogram. And the above statement is true, but maybe a little harder to prove than the converse of the statement, which is the usual one you find.

The converse is "If you have a parallelagram, the diagonals bisect each other."

You might think a trapezoid deserves some mention. The diagonals of a trapezoid do not bisect each other.
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Help!!! 10pts!!
horsena [70]
It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.

The correct choice is the last one, XYZ, with vertex X being where the right angle is located.

_____
Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.
6 0
3 years ago
Solve the following system of equations. What is the y value of the solution?
Svet_ta [14]

Answer:

y = 2

Step-by-step explanation:

x + 5y - 10 = 0

X = 4y - 8

since x is given as = 4y - 8 we can use this in first equation

replace x with 4y - 8

x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms

9y - 18 = 0 add 18 to both sides of the equation

9y = 18 divide both sides by 9

y = 2

6 0
3 years ago
Read 2 more answers
Gerold invested $118 in an account that pays 6 percent simple interest. how much money will he have at the end of 5 years
JulsSmile [24]
If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:

1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9

The correct result would be $157.9.
6 0
3 years ago
A car run 3/4 mile per minute another car can run 4/5 mile per minute.what is the difference in speed in miles per hour?
dybincka [34]

Answer:

3 miles per hour

Step-by-step explanation:

We need to subtract the two numbers to find the difference in speeds

4/5 - 3/4

We need to get a common denominator of 20

4/5 *4/4 - 3/4 *5/5

16/20 - 15/20

1/20  

The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.

The question asks for miles per hour, not miles per minute.  We know  that there are 60 minutes per hour.

1/20 miles per minute * 60 minutes / hour

60/20 miles/hour

3 miles/ hour

The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.

3 0
3 years ago
Ava is 9 years old. Rose is 11 time as old as ava. How old is rose?
balu736 [363]
99 years old due to multiplying 9 x 11

7 0
3 years ago
Read 2 more answers
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