The area of triangle
=5*7/2
=35/2
17.5sq.units//
The area of parallelogram
=15*8
=120sq.units//
1)
a) Draw the axis:x-axis is horizontal, y-axis is vertical
b) draw a point on any part of the plane (use color to highlight it)
c) draw a second point on a different part of the plane (again use color)
d) draw the straight line that passes through the two points (use a ruler).
That is it.
2)
a) Draw the axis: x-axis is horizontal and y-axis is vertical
b) Draw a stright line (use a ruler)
c) Draw a second straight line (use a ruler) which is not parallel to the first line. Extend the second line intil it intersects (and passes) the first line. The lines can only intersect in one point (if the lines are parallel they will not intersect each other).
Since you didn't give an amount of time, we can't give an exact value. However, I can help you with the steps so you can get the correct answer.
First, you need to find the correct z-score. Then, use a standard normal distribution table to find the percent.
Let the time that you are looking for equal X.
The formula for your z-score is:
(x - 8.7) / 2.1 = z-score
Answer: 60 + 13 sqrt 10
the top part adds up to 10 and the bottom part is 13
so you get a 7-3-2 sqrt 10 triangle to the left
the area of that is 3 sqrt 10
the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10
the area of the big vertical rectangle is 5*12 which is 60
so you add them up
60 + 13 sqrt 10
<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>
