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4 years ago

1. The following is a parallelogram. Find x and y using the given information.

Mathematics

1 answer:

Tom [10]4 years ago

3 0

Given : ABCD is a parallelogram
AB =5x-2y
 DC = 4 
AD = y
 BC =5-x

AB = DC ( opposite sides of parallelogram are equal)
5x -2y = 4 (1)

AD = BC
y = 5-x

Putting the value of y in equation 1

5x-2y =4
5x-2(5-x) =4

5x -10+2x =4

7x = 14

x = 2

Putting the value of x in eqution 2

5-x = y
5-2 =y
3 =y

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evablogger [386]

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of  q .

Solution : -

$\quad \: \longmapsto \: 3(q - 7) = 27$

Step 1 : Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

Step 2 : Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

Step 3 : Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

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Therefore, our solution is correct .

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