Move the dot twice to the right
Answer: Arc CE measures 62 units
Step-by-step explanation: What we have in the question is a circle with two secants ABC and ADE. The two secants have been extended such that two arcs have been formed which are, major arc CE (that is, 4x - 10) and minor arc BD (that is 26).
When you have a circle with two intersecting secants, the angle x (that is angle CAE) is derived as half of the difference of the two intercepted arcs. That is;
Angle x = 1/2 [CE - BD)
Angle x = 1/2 [ (4x - 10) - 26]
Angle x = 1/2(4x - 36)
Cross multiply and we now have
2x = 4x - 36
Collect like terms and we now have
36 = 4x - 2x
36 = 2x
Divide both sides by 2
18 = x
Having calculated x as 18, where arc CE equals 4x - 10, then substitute for the value of x.
CE = 4(18) - 10
CE = 72 - 10
CE = 62
11.
-8y=24
We want to isolate y to get the value of 1y. Divide both sides by -8
y= -3
Final answer: y=-3
12.
This is the associative property of addition (D).
It states that when adding three terms, the sum is equal no matter the grouping (parentheses).
Math - Steve, Wednesday, May 7, 2014 at 4:35pm
there are 201 numbers from 50 to 250.
So, clearly, if 202 people are polled, at least two of them must have the same number.
Ok we can simplify the ratio 10 and 15 by dividing both terms by the greatest common factor which is 5 Ok. So 10 divided by 5 is 2 and 15 divided by 5 is 3 therefore the answer is 2 : 3
