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Igoryamba
3 years ago
6

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

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Which one of these numbers could form a triangle?
padilas [110]

Answer: non of those numbers

Step-by-step explanation:

all the numbers couldn't form a triangle

7 0
2 years ago
If you assume that there are exactly 365 days in a year, how many seconds are there in one year? Give your answer to the nearest
Elena L [17]

Answer:

  31,536,000

Step-by-step explanation:

There are 3600 seconds in an hour and 24 hours in a day, so ...

 (3600 s/h)(24 h/da) = 86400 s/da

Then in 365 days, there are ...

  (365 da)(86400 s/da) = 31,536,000 s

_____

No rounding is needed.

5 0
3 years ago
Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.
suter [353]

Answer:

a) 91 1/6 gallons

b) 2502 miles

Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

  (261 mi)/(14.5 gal) = 18 mi/gal

We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

a) 1641 miles/(gallons) = 18 mi/(1 gal)

Multiplying by gallons and dividing by 18 mi/gal, we get

  1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

___

b) Same deal, but the miles are unknown.

  (miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

  (18 mi)·139 = (miles) = 2502 mi

139 gallons of gasoline will let Mary drive 2502 miles.

3 0
3 years ago
What's the distance between (5, 13) and (9, 1)
givi [52]

Answer: 16

Step-by-step 8+8

5 0
3 years ago
Please help and explain why you got it right please
gtnhenbr [62]

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

4 0
3 years ago
Read 2 more answers
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