Opposite angles of an inscribed quadrilateral are supplementary, that is, they add up to 180 degrees. For this quadrilateral, Q + A = 180, and similarly, U + D = 180. Since we are given U = 106, therefore:
106 + D = 180
D = 74 degrees.
Question says to draw a polygon with the given conditions in a coordinate plane. It is talking about Rectangle with perimeter of 20 units.
So we can use formula of perimeter of rectangel to find it's possible dimensions.
We knwo that perimeter of the rectangle is given by 2(L+W)
where L is lenght and W is width.
Given perimeter is 20 so we get:
2(L+W)=20
L+W=10
L=10-W
So basically we can use any number for W which can be from 0 to 10 as side length can't be negative.
Let W=4
Then L=10-W=10-4=6
Hence we just have to draw a rectangle having length 6 and width 4.
So the final answer will be picture in the attached graph.
Answer:
66cm²
Step-by-step explanation:
Okay so lets start by breaking this down and writing a smiple equation to find the area.
We know that the N's are the same size. To make it easier we can turn them to a square/rectangle. I think it would be easist to move the bottem N's to the top. (look at the pic attached to see what i mean)
Lets start by finding the area of the top rectangle. We need to divide 8 by 2 to find the height.
a = b * h
a = 12 * 4 = 48(area of top rectangle)
a(of m) = 4.5 * 4 = 18
area of the whole thing:
a = 48 + 18 = 66
Answer:
A
Step-by-step explanation:
the first part is definetly triangle b is a reflection of triangle a across the x axis i can't see the bottom part of the last answer but I'm pretty sure A would be correct because triangle c may be a rotation but it's most likely not a reflection of triangle a
Hello
Answer:
60 miles per hour
I have given a detailed explanation of the logic behind this.
Explanation:
Consider the structure of the wording: "miles per hour"
The word "per" means for each. There is you clue.
Each is, one of and one of is unit measurement
So the controlling element in this question is that you need to convert the 3 hours into 1 hour.
Using ratio properties
180
3
=
x
miles
1
hour
We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.
⇒
180
÷
3
3
÷
3
=
x
1
⇒
60
1
=
x
1
So the unit rate of speed is
60
miles
per
−−−
hour
Hope this helps
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