In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . If m∠ADE is with 34° smaller than m∠CAB, find the measures
of the angles of ΔADE.
1 answer:
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Answer:
A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
Step-by-step explanation:
To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because
and the slope of the line is 2/3.
Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:
This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.
Answer:
1131 pounds.
Step-by-step explanation:
We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.
First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:
The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.
Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.
Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.
Answer:
The formula to determine the population of penguins at the end of the 7th year is:
Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:
As this dynamic will continue with the years, we can generalize as:
Then, the value of the population at the end of the 7th year should be: