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4 years ago

Find the value of X.

Mathematics

1 answer:

olganol [36]4 years ago

4 0

Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.

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3 years ago

If x-y= -10 and x-y=2 what is the value of x

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4 years ago

Read 2 more answers

1. Find the length of a rectangular lot with a perimeter of 124 feet if the length is two more than twice the width.

sp2606 [1]

ANSWER TO QUESTION 1

Let the width be
$w$
units.

Twice the width will be

$2w$

Two more than twice the width will be

$2w + 2$

We were told that the length is 2 more than twice the width. This means that,

$l = 2w + 2$

This implies that,

$w = \frac{l - 2}{2} - - eqn(1)$

The formula for finding the perimeter of a rectangle is given by:

$perimeter = 2w + 2l - - eqn(2)$

We substitute 124 for the perimeter and equation (1) into equation (2)

$124 = 2( \frac{l - 2}{2} ) + 2l$

This implies that,

$124 = l - 2 + 2l$

$\Rightarrow 124 + 2 = l + 2l$

$\Rightarrow 126 = 3l$

We divide both sides by 3 to obtain,

$l = 42$

Therefore the length is 42 feet.

ANSWER TO QUESTION 2

Let the width be
$w$

units.

Five more than the width will be

$w + 5$

We were told that the length is 5 more than the width. This means that,

$l = w + 5$

We make w the subject to obtain,

$w = l - 5 - - eqn(1)$

The perimeter is given by,

$perimeter = 2w + 2l - - eqn(2)$

We substitute 50 for the perimeter and equation (1) into equation (2)

$50 = 2(l - 5) + 2l$

Dividing through by 2 gives,

$25 = l - 5 + l$

$\Rightarrow 25 + 5 = l + l$

$\Rightarrow 30 = 2l$

We divide both sides by 2 to get,

$l = 15$

Therefore the length is 15 feet.

7 0

4 years ago