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gogolik [260]
3 years ago
13

In Rectangle IJKL find x and y

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

In rectangle opposite sides are equal

2x + 20 = 6y - 6

2x - 6y = -6 -20

2x - 6y = -26 -------(i)

6y = 3x + 21 -------(ii)

Put 6y value in equation (i)

2x - (3x + 21) = -26

2x - 3x - 21 = -26

-x - 21 = -26

-x = -26 + 21

-x =  -5

x =5

Put x = 5 in (ii)

6y = 3*5  + 21

6y = 15 +21

6y = 36

y = 36/6

y =6

Check:

6y - 6 = 6*6 - 6 = 36 - 6= 30

2x + 20 = 2*5 + 20 = 10+20 = 30

Opposite sides are equal

uysha [10]3 years ago
5 0

Answer:

X= 61 and Y = 34

Step-by-step explanation:

In a rectangle, sine opposite sides are equal, so

3x +21 = 6y and 6y-y = 2x +20

3x - 6y = -21 and 2x -5y = 20

Solve both equation, we get

Y = 34 and X= 61

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6 0
4 years ago
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Two angles form a linear pair. The measure of one angle is 2.6 times the measure of the other angle. Find the measure of each an
const2013 [10]

One angle can be x  

The other angle=2.6x

2.6x+x=180

3.6x =180

X=180/3.6

=50 degree


4 0
3 years ago
Which expression is equivalent to 2/7y(k-7) ? Assume k does not equal 0
Fudgin [204]

Answer:

hello :

2/7y(k-7)  = 2/ (7yk-49y)

the expression is equivalent to 2/7y(k-7)  is : 2/ (7yk-49y)

valus of  k does not equal 0 is : k=7

3 0
3 years ago
A man buys 52 coconuts, but some are lost on his way home. If he evenly divides the amount of coconuts he has left among four pe
zhuklara [117]

Answer:

He lost 5 coconuts.

Step-by-step explanation:

When he divides the number left among 3 and 5 people the  remainder is 2 in each case so the number that each person gets must be 15 or a multiple of 15.

So if x is the number left when he reaches home, then:

2 = x mod 3 and

2 = x mod 5  

where x = 15 + 2 = 17 or  30 + 2 = 32  or 45 + 2 = 47.

But we also must satisfy 3 = x mod 4

If x = 17:

17 mod 4 = 1  so its not 17.

32 mod 4 = 0 so it's not 32.

47 mod 4 = 3 so x = 47.

Therefore the number  he lost = 52 - 47 = 5.

7 0
3 years ago
A bicycle is on sale for $189.50. The sales tax rate is 5%. What is the amount of tax?
kozerog [31]

Answer:

9.475 = 9.48 dollars.

Step-by-step explanation:

5% = 0.05

$189.50 x 0.05 = 9.475

4 0
3 years ago
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