Answer:
66°
Step-by-step explanation:
<em>See attached picture.</em>
<em>When an angle intercepts an arc, </em><em>ARC AC</em><em>, and forms in the </em><em>center [central angle]</em><em>, the angle has </em><em>SAME</em><em> measure as the ARC AC </em><em>[denoted by x]</em><em>. When the angle formed is on the opposite side, it has a measure </em><em>HALF</em><em> of that ARC AC </em><em>[denoted ]</em>
If you look at the problem given, ∠DBC is intercepted by ARC DC and falls in the opposite side of the circle, NOT in the CENTER. <em>Hence </em><em>∠DBC</em><em> has a measure that is </em><em>HALF of ARC DC</em><em>.</em>
<em>There are </em><em>360 degrees in a circle.</em><em> </em><em>ARC DB</em><em> has 2 endpoints that are the diameter of the circle, so </em><em>ARC DB</em><em> has a measure of </em><em>180 degrees</em><em>. </em>Also,
ARC DB = ARC DC + ARC CB
ARC DB = ARC DC + 48
180 = ARC DC + 48
ARC DC = 180 - 48 = 132
Since, ∠DBC = 0.5 * ARC DC, we have:
∠DBC = 0.5 * (132)
∠DBC = 66
Our answer is the second choice of 66°.
<h3>Answer:</h3>
x = 3
<h3>Explanation:</h3>
The product of the lengths of segments from the intersection point to the circle is the same for both secants.
... 1×6 = 2×x
... 6/2 = x = 3 . . . . . divide by 2
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<em>Comment on secant geometry</em>
Interestingly, this relation is true whether the point of intersection of the secants is inside the circle or outside.
When it is outside, the product is of the distance to the near intersection with the circle and the distance to the far intersection with the circle.
First we find the slope by using the slope formula : (y2 - y1) / (x2 - x1)
slope = (y2 - y1) / (x2 - x1)
(0,7)....x1 = 0 and y1 = 7
(8,-2)...x2 = 8 and y2 = -2
now sub...pay attention to ur signs
slope = (-2 - 7) / (8 - 0) = -9/8
now we use y = mx + b
slope(m) = -9/8
u can use either of ur points...(0,7)...x = 0 and y = 7
now sub into ur formula and find b, the y int
7 = -9/8(0) + b
7 = b
so ur equation is : y = -9/8x + 7 <==
The construction crew took days to build miles of road.
Therefore, in 1 day, the crew built miles of road
= miles of road
Thus, the required rate is miles or miles per day.
M+m+z/3=3m
m+m+z=9m
2m+z=9m
z=7m
m+m+7m/3=3m
9m=9m
m=1
1+1+z/3=3
2+z=9
z=7
idk but i think that one person gets paid 7 dollars and the other ppl get paid 1 dollar----- this is probably veryyyyy wrong