Answer:
Obtuse
Step-by-step explanation:
Angles of a parallelogram are supplementary to it's adjacent angles . One pair of opposite angles of a parallelogram is obtuse & other pair is acute . Here in the figure , ∠DAB & ∠BCD are obtuse angles and also opposite to each other whereas ∠ADC & ∠ABC are acute angles and are opposite to each other.
Answer:
Step-by-step explanation:
Given inequality is
Simplifying:
![\[=>-t\geq13\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E-t%5Cgeq13%5C%5D)
Sign of the inequality changes of making both sides negative.
Hence the solution for the given inequality is represented by
This means that the original inequality will be true only for those values of t which are less than or equal to -13.
8.

9.
The sum of two sides must be greater than the third side.
It can't be 5 because

.
It can't be 7 because

.
It can't be 17 because

.
So it's 12.
10.
a. Turk, McAllister
b. Market, Mission, Howard
c. not sure about this one
Answer:
Step-by-step explanation:
Let b
Bill's rate of travel = x
Let Julie's rate of travel = 3x
The time each travels is 2.5 hours
Together they travel a distance of 190 miles
d = r*t
Bill's distance covered is r * t = 2.5x
Julie's distance travel is 2.5 * 3x = 7.5x
The total distance = Bill + Julie
2.5x + 7.5x = 190
10x = 190
x = 190/10
x = 19
Bill's distance = 2.5 * 19 = 47.5
Julie's distance = 19 * 7.5 = 142.5
Rate = distance / time
Bill's rate = 47.5 / 2.5 = 19 miles per hour.
Julie's rate = 142.5/2.5 = 57 miles per hour
Is there an easier way?
You should notice that Bill's rate is just x which is 19 miles / hour
You can also notice that Julie is going 3 times as fast or 19*3 = 57