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Georgia [21]
3 years ago
6

20 less than 5 times a number is 85. What is the number

Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Answer: I don’t understand the question??

Step-by-step explanation: Can you say the question again like the same way the homework does

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Given quadrilateral EFGH at e(-4,7) f(8,4) G(t,-5) and h(-7,-1) using coordinate geometry prove EFGH is a rectangle
Tcecarenko [31]

The above question was not properly written.

Complete Question

Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.

Answer:

Quadrilateral EFGH is a rectangle.l because:

EF = GH and FG = EH

Step-by-step explanation:

The formula for coordinate geometry is given as :

√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)

For the quadrilateral EFGH with given coordinates above to be a rectangle,

EF = GH

FG = EH

Hence:

For side EF

E(-4,8), F(8,4)

= √(8 - (-4))² + (4 - 8)²

= √12² + -4²

= √144 + 16

= √160 units

For side FG

F(8,4), G(5,-5)

=√(5 - 8)² + (-5 - 4)²

= √-3² + -9²

= √9 + 81

= √90 units

For Side GH

G(5,-5) , H(-7,-1)

= √(-7 - 5)² + (-1 - (-5))²

= √-12² + 4²

= √144 + 16

= √160 units

For side EH

E(-4,8), H(-7,-1)

= √(-7 -(-4))² +(-1 - 8)²

= √-3² + -9²

= √9 + 81

= √90 units

From the above calculation, we can see that truly,

EF = GH

FG = EH

Therefore, quadrilateral EFGH is a rectangle.

6 0
2 years ago
There are 12 books in a case.there are 6 cases in a box and 24 boxes in a container
Rus_ich [418]
2592/24/6/12= $1.5.......
6 0
3 years ago
Read 2 more answers
17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:
qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color      Frequency

Yellow            2

 Blue              3

Green             1

 Pink              1

Brown            1

Orange          1

Chartreuse    1

Black              1

Puce              1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

3 0
3 years ago
Solve: the quantity 3x minus 15 divided by 2 = 4x
Anon25 [30]

Answer:

x=-3

Step-by-step explanation:

(3x-15)/2 = 4x

Multiply each side by 2

(3x-15)/2 *2= 4x*2

3x-15 = 8x

Subtract 3x from each side

3x-15-3x = 8x-3x

-15 = 5x

Divide each side by 5

-15/5 = 5x/5

-3 =x

5 0
3 years ago
What is the numerator of the fraction equivalent to 3\5 that has a denominator of 30
aliya0001 [1]
Well, the numerator is the number on top, so in the fraction 3/5, 3 is the numerator. To find the equation with a denominator of 30 that is equivalent, find what the difference is. 30/5 = 6. So now, multiply the numerator by 6. 6 * 3 = 18. The new fraction is 18/30. The numerator is 18. Hope this helps!
3 0
3 years ago
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