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:
![\[t\leq -13\]](https://tex.z-dn.net/?f=%5C%5Bt%5Cleq%20-13%5C%5D)
Step-by-step explanation:
Given inequality is ![\[−3t\geq39\]](https://tex.z-dn.net/?f=%5C%5B%E2%88%923t%5Cgeq39%5C%5D)
Simplifying:
![\[-t\geq \frac{39}{3}\]](https://tex.z-dn.net/?f=%5C%5B-t%5Cgeq%20%5Cfrac%7B39%7D%7B3%7D%5C%5D)
![\[=>-t\geq13\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E-t%5Cgeq13%5C%5D)
Sign of the inequality changes of making both sides negative.
![\[=>t\leq -13\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%5Cleq%20-13%5C%5D)
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
