The angles are supplementary, therefore totaling them at 180°.
And because I'm bored, I'll solve for x for you!
(x + 25) + (9x + 10) = 180
10x + 35 = 180
Subtract 35 from both sides.
10x = 145
Divide by 10 on both sides.
x = 14.5
Answer: 50.24 square centimeters.
Step-by-step explanation:
Given: The radius of the circular lens of a magnifying glass = 4 centimeters
The area of a circle is given by :-
, where r is the radius of the circle.
Then the area of the circular lens of a magnifying glass is given by :-

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.
Answer:
The answer is letter c.
Step-by-step explanation:
In order to know the answer, it is best to check what is given in the scenario above.
45 minutes = the time it takes for Betty and Dyan to pick 8 quarts of strawberries.
45x minutes= this refers to the time it takes for Dyan to pick 8 quarts of strawberries
In the rational expression, 45x-10, we've already known that 45x refers to minutes or the time it takes for Dyan to pick 8 quarts of strawberries, thus 10 here refers to minutes or time as well.
The mathematical operation used is<u> "subtraction,"</u> so this means that Betty takes a shorter time than Dyan when it comes to picking strawberries in the situation above.
Thus, the denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.
Since the range of the scores given was between 300 and 700 (which is 2 standard deviations below and above the mean), the probability that a randomly selected student's math score - as based on the empirical rule of statistics - is 95%. In decimal form, it is .95.