Answer:
15
Step-by-step explanation:
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
Answer:
m= 1/4
Step-by-step explanation:
1) Take two points. Let's use the first and second. Subtract one y coordinate from the other. 6 - 5 = 1
2) Do the same process with the x coordinates. 0 - -4 = 4 (0 + 4)
3) Make the answer from the y coordinates the numerator and the answer from the x coordinates the denominator, and you have your final answer: 1/4
