Answer:
62°
Step-by-step explanation:
The vertex angle is half the difference of the intercepted arc angles.
∠A = ½ (CE − BD)
x = ½ (4x − 10 − 26)
x = ½ (4x − 36)
x = 2x − 18
18 = x
Therefore, the measure of CE is:
4(18) − 10 = 62
Answer:
The correct answer is A) Angle 1.
Step-by-step explanation:
We know this because they are opposite of one another. The lines don't even have to be parallel for this to be true.
Answer:
25%
Step-by-step explanation:
To solve this, we can use the percent change formula shown in the picture attached below.
is the new value,
is the old value, and
represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:
× 
×
×

Thus, the answer is 25%.
The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode
Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1
Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]
Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
</span>
Answer:
75°
Step-by-step explanation:
Please see attached picture for full solution.