Answer:
c) 30
Step-by-step explanation:
since the lines are parallel, 75° = 2x + 15°
this is because when two parallels lines are intersected by the same line, all respective angles are equal. Also, opposite angles on a line are equal too.
So now that u have 75 = 2x + 15, just solve for x by simplifying:
75 = 2x + 15
60 = 2x
30 = x
so the answer is c) 30
hope this helps!
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :

Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :

So, the mean of his grades is 72.
The correct answer would be Choice D.
I assume you mean to have square root signs in the empty spaces between the numbers.
For choice D, you are adding -4 square roots of 6 and 4 square roots of 6. The answer to that is zero. Which is not an irrational number.
Answer: A
Step-by-step explanation:
The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

z = 5
To solve for x, we can use sine again but for the 30 degree angle.

Answer:
7
Step-by-step explanation: