Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.
This also means that the angle P' (the one inside the quadrilateral) is equal to:
Now, if we extend the sides DP and CB we notice that the angles P' and Q
are equal
The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.
Answer:
A
d = 2
Step-by-step explanation:
<em><u>Formula</u></em>
l = a + (n - 1)d
<em><u>Givens</u></em>
n = 10
a = - 5
l = 13
<em><u>Solution</u></em>
13 = - 5 + (10 - 1)d Substitute
13+5 = -5+5 + 9d Add 5 to both sides
18 = 9d Divide by 9
18/9 = 9/d
d = 2
Answer:
5.14 mi/h
Step-by-step explanation:
To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.
Average speed = (total distance traveled) / (total time taken)
TOTAL DISTANCE TRAVELED
He traveled 3 miles to and 3 miles fro. Hence:
3 + 3 = 6 miles
TOTAL TIME TAKEN
He spent ½ hr to go and ⅔ hr to return back. Hence:
½ + ⅔ = 7/6 hr
Therefore, the average speed is:
v = 6 / (7/6)
v = 36 / 7 = 5.14 mi/h
Tom's average speed was 5.14 mi/h.
Answer:
If it does not satisfy the inequality, shade the region which does not contain that point. All the points in the shaded region will satisfy the inequality. Note: The origin (0, 0) is usually the easiest point to test, provided it is not on the line.