Answer:
x = 125
Step-by-step explanation:
Ok so we already established that AIA are congruent. So two angles will equal 55 degrees. All angles in a parallelogram add up to 360 degrees, and there are two pairs of matching angles opposite of each other.
So we take the two 55 degree angles and subtract them from 360:
360-110 = 250
Now there are two identical angles left, one of them is x, that equal a total of 250, so divide by two:
250/2
=125 degrees
Answer:
14 or about 43.98 feet
Step-by-step explanation:
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
Answer:

Step-by-step explanation:




The formula would be:
<span>y = mx + b
</span><span>
Now, let's look at the information we know.
m = slope
b = y-intercept
y-intercept = -6
x-intercept = -2
</span>
First, we would need to determine the slope. The formula for slope is m =

Plug your coordinates in and solve it.

= 6/-2 = -3
Now, since we have the slope and y-intercept, we are ready to plug them into the formula.
y = -3x - 6I hope this helps!