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3 years ago

The sum of 27 and seven times a number is 125. Find the number.

2 answers:

9 0

The number is 14

Here's the solution:

Let the number be x

According to the question,

27+7x=125

//Subtract 27 from both the sides

7x=125-27

7x=98

//divide both the sides by 7

x=98/7

x=14

gogolik [260]3 years ago

7 0

First write the equation: 27+7X=125
Combine like terms: 27+7X-27=125-27
7X=98.
Get the unknown alone: 7X/7=98/7
X=14.
:) hope this helps

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3 years ago

In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

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Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73= $\frac{p}{h}$

3.27= $\frac{yz}{xy}$

3.27×[xy]=yz

xw+wy= $\frac{yz}{3.27}$

wy= $\frac{yz}{3.27}$ -80...........(1)

again

In right angled triangle WYZ

Tan 80= $\frac{yz}{wy}$

5.67×wy=yz

wy= $\frac{yz}{5.67}$

yz=5.67×wy............................................(2)

Equating equation 1&2

$\frac{yz}{5.67}$ = $\frac{yz}{3.27}$ -80

$\frac{yz}{3.27}$ - $\frac{yz}{5.67}$ =80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz= $\frac{1483.272}{2.4}$

yz=618.03

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3 years ago