Answer:
73
Step-by-step explanation:
Because the sum of all the angles in a triangle is 180°, we can subtract 34 from 180.

In an isosceles triangle there are two congruent angles (base angles theorem), so we can divide 146 by 2.

Answer:
288
Step-by-step explanation:
From a data set, the average would be the "central" value of that set. It has the formula:

Where
Sum means the sum of all the numbers
Number means the Number of Numbers there are in total
Here, It is given:
Average = 32
Number = 9
So we substitute and find the "sum" to be:

The total (sum) is 288
It's d because a common goes after Alaska and after state
So if it takes 5 dogs 6days to eat 90 cups of food, then we can conclude that it takes 1 dog 6 days to eat 18 cups of food (90/5). From here we can say that it will take 1 dog 1 day to eat 3 cups of food (18/6).
Now it says we have 8 similar sized dogs, so we can conclude that it will take 8 dogs 1 day to eat 24 cups of food (3 x 8). Now we need to find how many days it'll take to eat 150 cups, so we just do a simple division to find it:
150/24 = 6.25
So your answer is 6.25 days, D
Answer:
9 movies
Step-by-step explanation:
If we let the number of movies watched is "x",
<u>Duke's total cost:</u>
111.60 + 4x
<u>Tenneshia's total cost:</u>
16.40x
Since, the cost needs to be equal, we equate both their equations and solve for x, the number of movies at which they will have paid the same amount. Thus:
111.60 + 4x = 16.40x
111.60 = 16.40 x - 4x
111.60 = 12.40 x
x = 111.60/12.40 = 9
Hence, after 9 movies, they will have paid the same amount.