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polet [3.4K]
4 years ago
10

Calculate the size of angle y

Mathematics
2 answers:
melisa1 [442]4 years ago
6 0

Angles in a triangle add to 180 degrees, a quadrilateral 360 degrees, a pentagon 540 degrees and a hexagon 720 degrees.

y + 110 + 75 + 170 + 90 + 130 = 720

y = 720 - 575 = 145 degrees
Butoxors [25]4 years ago
6 0
This is a hexagon and the sum of its internal angles = 720 degrees.

Therefore m < y =  720 - (110 + 75 + 170 + 90 + 130)  

=   145 degrees  (answer).
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The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of t
NemiM [27]

Answer: The area is 2,193 square feet (2,193 ft²)

Step-by-step explanation:The rectangular garden has its sides yet unknown but what we do know is that its length is 8 feet longer than its width. If therefore the width is W, then the length would be W + 8.

The perimeter is calculated as follows;

Perimeter = 2(L + W)

We can now substitute for the values given as follows;

188 = 2(W + 8 + W)

188 = 2(2W + 8)

188 = 4W + 16

Subtract 16 from both sides of the equation

172 = 4W

Divide both sides of the equation by 4

43 = W

If the width is 43, and the length is W + 8, then length equals 43 + 8 which gives us 51

Therefore the area is calculated as follows;

Area = L x W

Area = 51 x 43

Area = 2193

The area of the rectangular garden is 2,193 square feet

3 0
4 years ago
Find the domain in the following <br> Y=2x+5
allsm [11]

Answer:

All Real Numbers

Step-by-step explanation:

<u>The Domain for a function simply is all the possible x values.</u>

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.

5 0
2 years ago
Read 2 more answers
Which of the following is the converse of the statement "If it is summer, then it is warm outside"? A. If it is not warm outside
kvv77 [185]
The answer is B: If it is warm outside, then it is summer. Converses switch the hypothesis and the conclusion.

Hope this helps! ^-^
8 0
3 years ago
Read 2 more answers
There is a big triathlon in town, and you are trying to take pictures of your friends at multiple locations during the event. Ho
Yuri [45]

Answer: 1-2 = 4

             2-3 = 4

             3-4 = 6

            4-5 = 6

            5-6 =8

Step-by-step explanation:

8 0
3 years ago
Find the equation of the line passing through (1,4) and (-2,-1).
wel

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

8 0
3 years ago
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