Answer:
x = 110°
Step-by-step explanation:
The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.
This means that ½ (210 – x) = 50.
½ ( 210 – x ) × 2 = 50 × 2
210 – x = 100.
210 – x + x = 100 + x.
210 = 100 + x.
100 + x = 210.
100 + x – 100 = 210 – 100.
x = 110.
This value must be true because:
½ ( 210 – 110 ) = 50.
½ ( 100 ) = 50.
50 = 50.
4(20 + x)
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Answer: n = 11
Step-by-step explanation:
2^10 = 1,024
1,025 + 1,025 = 2,048
2^11 = 2,048
<span>t+u = 10
10u+t= 10t+u-54
Rearrange:
t+u=10
9t-9u=54
Simplify:
1st; t+u=10
2nd: t-u=6
Add 1st and 2nd and solve for t,as follows:
2t = 16
t = 8
Substitute in t+u=10 to solve for u:
8+u=10
u = 2
Original Number = 82</span>
Angle on a straight line sums up to 180
so
72+x + x+130 = 180
2x = 180-72-130
2x =-22
x= -11
so Angle on the LHS is 61°
while angle on the RHS is 119°
