Answer:
160°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The sum of angles in the given triangle is ...
x + (x +4) + 20x = 180
22x +4 = 180 . . . . . . . . . . collect terms
22x = 176 . . . . . . . . . . subtract 4
x = 8 . . . . . . . . . . . divide by 22
20x = 160 . . . . find the largest angle
The measure of the largest angle is 160°.
Ratio of triangles to cirles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.
Step-by-step explanation:Answer:Triangle - 2
Circle - 4
Square - 2
ANSWER
To graph the function
follow the steps below.
1. Find y- intercept by plugging in
.
is on the interval,
, so we substitute in to
Hence the y-intercept is
2. Find x-intercept by setting
This implies that
on
or
on
We now solve for
on each interval,
on
or
on
But observe that
does not belong to
This means it can never be an intercept for this piece-wise function.
Hence our x-intercept is
3. Plotting the boundaries of the interval.
For
on
.
This point
coincides with the x-intercept.
So we have the point
. But note that
does not belong to this interval so we plot this point as a hole.
For
on
So we plot
So we plot
also as a hole.
Plotting all these points we can now graph the function,
See attachment for graph.
Answer: 18
Step-by-step explanation:
6 ÷ 2 = 3
162 ÷ 54 = 3
The constant ratio is 3
6 × 3 = 18
Hope I helped!
Answer: 60
Step-by-step explanation:
X can represent any number as long the product of 5 times x is less than 75. So for example, you can say, x5<75
X = 12
12 x 5 = 60
this is my first answer lol hope this helps in a way!