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zvonat [6]
3 years ago
9

Given: LMNK is a parallelogram.

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

The value of x is 2

Step-by-step explanation:

  • In the parallelogram, every two opposite sides are equal in lengths

Let us solve the question

In the given figure

∵ LMNK is a parallelogram

∵ ML and NK are opposite sides

→ By using the rule above

∴ ML = NK

∵ ML = 22

∵ NK = 12x - 2

→ Equate them

∴ 12x - 2 = 22

→ Add 2 to both sides

∵ 12x - 2 + 2 = 22 + 2

∴ 12x = 24

→ Divide both sides by 12

∴ x = 2

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Find the value of y so that WX is perpendicular to YZ
Alexxandr [17]

step 1

Find out the slope WX

W(2,-3) and X(-4,9)

m=(9+3)/(-4-2)

m=12/-6

m=-2

step 2

Find out the slope YZ

Y(5,y) and Z(-1,1)

m=(1-y)/(-1-5)

m=(1-y)/-6

m=(y-1)/6

step 3

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

that means

(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2

solve for y

2y-2=6

2y=6+2

2y=8

<h2>y=4</h2>
8 0
1 year ago
Divide $800 between kofi and kweku so that kofi gets three times what kweku gets
AfilCa [17]

Answer:

600 and 200

Step-by-step explanation:

kofi  : kweku     is   3 :1

   so Kofi gets   3 out of ( 3 +1)  = 3/4 of 800  = 3/4 * 800 = 600

         kweku get s the rest   800- 600 = 200  

6 0
1 year ago
Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten
Alexeev081 [22]

Answer:

the answer and explanation of the question is in the picture

Step-by-step explanation:

hope this helps

please like and Mark as brainliest

7 0
3 years ago
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?
madam [21]
The answer is a point
5 0
3 years ago
Read 2 more answers
Heeeeeeeeeeeeeeeeeeepl
DIA [1.3K]

Answer:

Hi there!

Your answer is;

a)

i) 400% of 240

240 is 100%

× 4

960= 400%

ii) 40% of 240

100% = 240

/100

1% = 2.4

× 40

40% = 96

iii) 4% of 240

100% is 240

/100

1% = 2.4

× 4

4% = 9.6

iv) .04% of 240

100% = 240

/100

1% = 2.4

/100

.01% = .024

× 4

.04% = .096

b) the patterns is that all these numbers equal sometime 96. Each of these have a different decimal place, but have the same actual numbers.

c) 4000% = 240

take the pattern:

400% is 960

Scale it up to 4000 by 10

400% is 960

× 10

4000% is 9600

Hope this helps!

5 0
3 years ago
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