Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
Answer:
29%.
Step-by-step explanation:
We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.
First of all, we will find the weight of tomatoes and raspberries using the given information.
Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.

Total production this year:
pounds.
Now, we will percent decrease formula.






Therefore, the total yield, by weight, of Boyd's garden declined by 29%.
Answer:
haha funny lel he made a funny
Answer:
The correct answer is - 768.
Step-by-step explanation:
The given question is based on a specific pattern present in between the numbers in the given series -
Series = 25 50 99 196 388
to find - next number in series
let us find the relation between the initial two number:
25 - 50, here number 50 is two times of 25 or (x*2-0)
relation between 2nd and 3rd number:
50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)
relation between 3rd and 4th number:
99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)
relation between 4th and 5th number:
196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)
So on this pattern, the next number would be = x*2-8
388*2-8
= 768
Answer:
(x-2)^2-11
Step-by-step explanation: