Answer:
104°
Step-by-step explanation:
let the second angle be x , then
the first angle is x + 24
the third angle is 4x , thus summing and equating to 180
x + x + 24 + 4x = 180, that is
6x + 24 = 180 ( subtract 24 from both sides )
6x = 156 ( divide both sides by 6 )
x = 26
Thus largest angle = 4x = 4 × 26 = 104°
This is pretty much 75% of 55.5 which is 41.625. Rounding that up would make $41.63.
Answer:
x=-17
Step-by-step explanation:
subtract 6 from each side and simplify and you'll get -17
<h3>
Answer: A. 9</h3>
=====================================================
Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.