Answer:
x=20°
Step-by-step explanation:
the photo is the explanation
Answer:
2, 4.5 and 8
Step-by-step explanation:
(1)
The mode is the number which occurs most often , then
mode = 2
(2)
The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.
1, 2, 2, 3, 4, 5, 6, 7, 8, 9
↑ middle
median =
=
= 4.5
(3)
The range is the difference between the largest and smallest values
range = 9 - 1 = 8
Answer:
80
Step-by-step explanation:
Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720
Since this looks like a regular hexagon each interior angle =720/6=120
Hence the inside angle touching the line is 120 (inside the hexagon)
Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,
Then y= 180-20=160
Then x=360-(160+120)=80 because sum of all angles round a point=360
Answer: The first number is 4
Explanation: Since the sum of the two numbers is ten, x + y = 10
Also, since the difference of the two numbers is two, then x - y = 2
Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.
2y + 2 = 10
2y = 8
y = 4
Since x = y + 2, x = 4 + 2 or x = 6
I hope this helped you!
Answer:
20 inches by 28 inches
Step-by-step explanation:
The current size of the picture is 5 inches by 7 inches
If we want to enlarge the picture by a factor of 4, the perimeter will also increase by the factor of 4.
New dimension = 4(old dimensions)
= 4(5 inches by 7 inches)
= 20 inches by 28 inches
Hence, the size of the enlarged picture is 20 inches by 28 inches.