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Sophie [7]
2 years ago
12

What is the value of x???

Mathematics
1 answer:
motikmotik2 years ago
3 0

The given polygon isa pentagon and the sum of its exterior angle is  360°. The value of x from the given polygon is 8

<h3>Sum of the exterior angle of a polygon</h3>

The given polygon isa pentagon and the sum of its exterior angle is  360°.

Take the sum of the angles and equate to  360° as shown;

77 + 66 + 62+ 59 + 12x =  360°

264 + 12x = 360

12x = 96

x = 8

Hence the value of x from the given polygon is 8

Learn more on exterior angles here: brainly.com/question/2546141

#SPJ1

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Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in
mina [271]
We have two points, (3,0) and (0,-3).  So we can find the slope of the line:

m=(y2-y1)/(x2-x1)

m=(-3-0)/(0-3)

m=-3/-3

m=1  so far for the line y=mx+b we have:

y=x+b, b is the y intercept which we were told is -3 so

y=x-3

The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..

y=x-3  subtract x from both sides

-x+y=-3

While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:

x-y=3
6 0
3 years ago
a ferry traveled 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.how much do the ferry t
Dahasolnce [82]

Answer:

1 hour = 7/18 of the distance between two ports

Step-by-step explanation:

Given that:

In 3/7 hours distance traveled is 1/6

For finding distance in one hour, divide both sides by 7/3 so that 3/7 would be cancelled out:

3/7 * 7/3 hours = 1/6 * 7/3 distance

By simplifying:

1 hour = 7/18 of the distance between two ports

This means that in one hour 7/18 of the distance is covered between two ports.

i hope it will help you!

8 0
3 years ago
Read 2 more answers
The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

\dfrac{A}{A'}=\dfrac{P^2}{P'^2}

We are given:

A=72 dm^2  , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. \dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}

on taking square root on both the side we get:

\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'

Now putting the value of P in equation (1) we obtain:

\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

6 0
3 years ago
Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.
Dmitriy789 [7]
Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}
S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}
\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}
\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}
\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)
S=\dfrac12\left(1-\dfrac1{81}\right)
S=\dfrac{40}{81}
8 0
3 years ago
The space shuttle can travel at 28968 km/h what distance can it cover in 8 hrs?
Verdich [7]

Given:

A space shuttle can travel at 28968 km/h.

To find:

The distance it can cover in 8 hrs.

Solution:

We have,

Speed of space shuttle = 28968 km/h.

So,

Distance covered by the space shuttle in 1 hour = 28968 km/h.

Distance covered by the space shuttle in 8 hour = (28968 × 8) km

                                                                                 = 231744 km

Therefore, the distance it can cover in 8 hrs is 231744 km.

6 0
3 years ago
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