Answer:
The measure of angle ADE is equal to 62 degrees.
Step-by-step explanation:
Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:
2x + 2(73) = 360
2x + 146 = 360
2x = 214
x = 107 = B = D
Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:
ADE = 107 - 45
ADE = 62
Answer:
x = 3
Step-by-step explanation:
Divide 6 on both sides to get your answer which is 3.
Answer: Permutation is involved , since order of prizes matters.
The number of different ways the prizes can be awarded =95060
Step-by-step explanation:
Given : Total number of people purchase lottery tickets =100
The number of prizes = 3
Since each prize can be claimed by only one person.
So order matters here, there for we use permutations .
The number of permutations of n objects taken m at a time is given by :-
Then, the number of different ways the prizes can be awarded :-
Answer:
1 and 1/4 liters of paint are needed for one door
Step-by-step explanation:
You can eliminate each answer choice out. For '4/5 liters' you know that if that amount was used, it wouldn't be reasonable since it would mean that the more was used for the other 3/5 door. 3 and 1.5 would be too much since it is over 2 liters. 2 liters wouldn't be logical since you paint 1 <em>and</em> 3/5 of a door and you only used 2 liters, no more or no less, basically what would you use for the other 3/5 door if this was the answer.
Hope this helps!
Divide total miles by miles per gallon:
364 miles / 20 miles per gallon = 18.2 gallons
