The mode is 12.
The mode is the value that appears most frequently in a data set.
40°
Step-by-step explanation:
∠ACB = ∠DCE ( vertically opposite angle )
Now...
a + 90° + 50° = 180° ( the sum of interior angle of triangle is 180° )
a + 140° = 180°
a = 180° - 140°
a = 40°
hence the value of a is 40°
Answer (<u>assuming it can be written in slope-intercept form)</u>:

Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is
.
2) Now, use the point-slope formula
to write the equation of the line. Substitute
,
, and
for real values.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (
format) and find the following answer:
Answer:
A.) 32.5 Square Feet
Step-by-step explanation:
10ft + 6.5 = 16.5
16.5 + 13 = 19.5
19.5 + 13 = 32.5
10ft + 6.5 + 3 + 13 = 32.5
Answer:
I hope this helps. I don't know if this is adequate for you, but here