The measure of angle 1 is 210 degrees.
You'll have to draw an auxiliary line in between the two parallel lines.
Then, you'll have to find out the angle measures next to 100 and next to 50. Since a line is 180°, then the angle measures next to 100 and 50 are 80 and 130 respectively.
Then, since you have an auxiliary line, you can use the rule of alternate interior angles of parallel lines being equal.
Then from there just add up 80 and 130 to get you 210.
Answer:
15
Step-by-step explanation:
When you find the sum of 3 and 5 you get 8, which represents the total number of vehicles used in the trucks to cars ratio.
This means that the ratio of cars to total vehicles in this ratio is 5 to 8. Because there are 24 vehicles in the parking lot, and 8 × 3 = 24, you can multiply the entire ratio by three to get your answer:
5 to 8 ⇒ 15 to 24
Therefore, the number of cars in the parking lot is 15.
Answer:
49
Step-by-step explanation:
588 divided by 12 49
___ = -------
12 divided by 12 1
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(a) The "average value" of a function over an interval [a,b] is defined to be
(1/(b-a)) times the integral of f from the limits x= a to x = b.
Now S = 200(5 - 9/(2+t))
The average value of S during the first year (from t = 0 months to t = 12 months) is then:
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12
This equals 200/12 * (5t -9ln(2+t))
Evaluating this with the limits t= 0 to t = 12 gives:
708.113 units., which is the average value of S(t) during the first year.
(b). We need to find S'(t), and then equate this with the average value.
Now S'(t) = 1800/(t+2)^2
So you're left with solving 1800/(t+2)^2 = 708.113
<span>I'll leave that to you</span>
Answer:
7 quarters are spent for throwing 350 food pebbles in pond.
Step-by-step explanation:
Given:
Reggie receives 50 food pebbles for every quarter he spends.
Number of food pebbles he has = 350
Let the number of quarters spent for 350 pebbles be 'x'.
Now, using proportion and cross multiplication method, we can find 'x'.
<u><em>1 quarter is equivalent to 50 pebbles thrown in pond.</em></u>
<u><em>So, 'x' quarters is equivalent to 350 pebbles thrown in pond.</em></u>
So, 7 quarters are spent for throwing 350 food pebbles in pond.
