1. If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle. A prudent auxiliary line is a chord connecting points of intersection of the sides of the angle with the circle as shown at the right.<span>
</span><span>2. Inscribed angle theorem. The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
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According to 2. : measure of arc RT = 2 m (angle S) = 60
Apply 1. : m(angle U) = (arc RS - arc RT )/2 = (84 - 60)/2 = 12
Answer:
16
Step-by-step explanation:
The answer is: x+y+z= y+x+z. When using commutative property, the sum cannot be changed. Let's plug in our own numbers.
7+8+9=24 so 8+7+9 also equals 24. commutative property is just switching the order that the numbers appear in but in the end, still equals the same thing
Answer:
0.3085,0.2417,0.0045
Step-by-step explanation:
Given that X, the amount of money spent at shopping centers between 4 P.M. and 6 P.M. on Sundays has a normal distribution with mean $85 and with a standard deviation of $20.
X is N(85, 20)
To convert into std normal variate we use the following formula
a) the probability that he has spent more than $95 at the mall
=
b. the probability that he has spent between $95 and $115 at the mall
=
c. If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $115 at the mall
=product of two probabilities since independent
=
Answer:
(2,-5)
Step-by-step explanation: