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:
6y+44
Step-by-step explanation:
Answer:
maby c
Step-by-step explanation:
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Answer:
8x² + 6x - 35
Step-by-step explanation:
A = (2x + 5)(4x - 7)
Front: 2x * 4x = <em>8x²</em>
Outside: 2x * (-7) = <em>-14x</em>
Inside: 5 * 4x = <em>20x</em>
Last: 5 * -7 = <em>-35</em>
Add up: <em>8x² - 14x + 20x -35</em>
Simplify: 8x² + 6x - 35
X=32
Explanation: X/9-1=4
X/8=4
8x4=32