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SpyIntel [72]
3 years ago
5

Find the value of X​

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

x = 118

Step-by-step explanation:

1. All the angles in a pentagon add up to 540, so to find the value of x, we can use this equation x + 122 + 103 + 98 + 99 = 540.

2. (Solving)

Step One: Simplify both sides of the equation by adding like terms.

  • (x) + (122 + 103 + 98 + 99) = 540
  • x + 422 = 540

Step Two: Subtract 422 from both sides.

  • x + 422 - 422 = 540 - 422
  • x = 18
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Which of the following lines is parallel to x=8? <br> 3y=16<br> x=7 <br> x=y<br> y=8
LekaFEV [45]
Parallel lines<span> are </span>lines<span> in a plane which do not meet; that is, two </span>lines in a plane that do not intersect or touch each other at any point. Therefore, from the choices listed above, the correct answer should be the second option. The line that is parallel to x=8 should be x =7. Hope this answers the question. Have a nice day.
7 0
3 years ago
Read 2 more answers
the profit p in dollars from selling x calculators is p=25x-(10x+250) how many calculators are sold when the profit is $425
podryga [215]
425=25x-10x-250
675=15x
x=45
45 calculators were sold.

4 0
3 years ago
A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde
xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

225(\frac{1}{3})=75\ m^2

step 2

Find the length side of the square building

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=225\ m^2

so

b^2=225\\b=15\ m

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

(15+2x)^2=225+75

solve for x

225+60x+4x^2=225+75\\4x^2+60x-75=0

Solve the quadratic equation by graphing

using a graphing tool

The  solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^2+60x-75=0  

so

a=4\\b=60\\c=-75

substitute in the formula

x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}

x=\frac{-60\pm\sqrt{4,800}} {8}

x=\frac{-60\pm40\sqrt{3}} {8}

x=\frac{-60+40\sqrt{3}} {8}\ m  ----> exact value

8 0
3 years ago
If 2/3 is multiplied by a fraction greater than 1, which of these could be the product?
nadezda [96]

Answer:

Any number bigger than 2/3

Step-by-step explanation:

btw, I didn't see the options but here's the explanation

When you multiply by a part of a whole, a fraction, you are getting smaller. When you multiply by a number bigger than one, your product gets bigger. So, any number bigger than 2/3 works just fine

3 0
3 years ago
URGENT
Stolb23 [73]

Answer:

We can use the sine law to find h. First, we determine the angle between the line of sight and h:

180 - 90 - 39 = 51 degrees

The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:

h/sin(39) = 500/sin(51)

h = 500*sin(39)/sin(51)

When we round to the nearest whole number, we get h = 405 ft.

7 0
3 years ago
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