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Nutka1998 [239]
3 years ago
8

Find x in the given figures.

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD = 2, CD = X, DB = 6.

Substitute:

\dfrac{2}{X}=\dfrac{X}{6}             <em>cross multiply</em>

X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}

\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3

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2 and 5. What is the LCM?
Masja [62]
Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
  So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
  10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day. 
5 0
3 years ago
The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individu
Ray Of Light [21]

Answer:

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

Step-by-step explanation:

Let Veronika's weight = x

Let Kate's weight = y

The sum of Veronika's and Kate's weight is 118 pounds.

x + y = 118

Veronika weighs 26 pounds more than Kate.

x = y + 26

How much do they weigh individually?

We substitute y + 26 for x in Equation 1

x + y = 118

y + 26 + y = 118

26 + 2y = 118

2y = 118 - 26

2y = 92

y = 92/2

y = 46 pounds

x = y + 26

x = 46 + 26

x = 92 pounds

Hence,

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

8 0
2 years ago
What is one fourth of a number decreased by 10,is -50 <br>​
Rashid [163]

1/4x - 10 = -50

1/4x = one forth of a number

-10 is decreased by 10

= -50 means is -50

5 0
3 years ago
Read 2 more answers
An album contains x black-and-white photographs and y color photo graphs. If the album contains 24 photographs which of the foll
Svetradugi [14.3K]
C x=4y can no be true.
x=4y, total phonographs are 5y
5y cannot be 24 if y is an integer.
3 0
3 years ago
1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if pe
Vaselesa [24]

Answer:

Step-by-step explanation:

Let total shirts be x.

Then, Striped shirts = 1/9x

Remaining Shirts= 8/9x

Therefore, Printed Shirts = 5/8 × 8/9x

= 5/9x

Remaining Shirts

or

Plain Shirts= x - ( 5/9x + 1/9x )

= 3/9x

Acc. to problem,

Plain Shirts=81

Therefore,

3/9x=81

=> x=81×9/3

=> x=27×9=243

Therefore,

Total Shirts= 243

I hope that helps you

3 0
3 years ago
Read 2 more answers
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