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3 years ago

15

How do I find the value of x

2 answers:

Kaylis [27]3 years ago

6 0

Answer:

The angles inside a hexagon add up to 720.

105 + 88 + 142 + 140 + 124 + x = 720

720 - (105 + 88 + 142 + 140 + 124) = x

720 - 599 = x

<h2>x = 121</h2>

adell [148]3 years ago

5 0

Answer: x = 121 degrees

Step-by-step explanation:

The sum of the angles in a polygon is expressed as

180(n - 2)

Where

n represents the number of sides of the polygon.

The given polygon is a hexagon. It has 6 sides. Therefore, n = 6

It means that the sum of the angles in the hexagon would be

180(6- 2) = 180 × 4 = 720 degrees

Therefore,

105 + 142 + 140 + 124 + 88 + x = 720

599 + x = 720

x = 720 - 599 = 121 degrees

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2 years ago

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4 years ago

Read 2 more answers

Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’

lora16 [44]

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

$x-0.1x+2.70=56.70$

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the <em>original price of the jeans</em>.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans <em>after</em> the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is <em>not</em> a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

$(70)-0.1(70)+2.7\stackrel{?}{=}56.70$

Multiply:

$70-7+2.7\stackrel{?}{=}56.7$

Subtract:

$63+2.7\stackrel{?}{=}56.7$

Add:

$65.7\neq56.7$

However, we <em>can</em> verify that 60 <em>is</em> the solution by substituting. So, substitute 60 for every x:

$(60)-0.1(60)+2.7\stackrel{?}{=}5.7$

Multiply:

$60-6+2.7\stackrel{?}{=}56.7$

Subtract:

$54+2.7\stackrel{?}{=}56.7$

Add:

$56.7\stackrel{\checkmark}{=}56.7$

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

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4 years ago

Read 2 more answers