Please hurry .... Point Z is equidistant from the sides of RST which must be true?
2 answers:
Answer with explanation:
In Δ R ST, Z C ⊥ RT, Z B ⊥TS, and Z A ⊥ RS.
Draw a circle Passing through points A,B and C.
→→Z A=Z B=Z C=Radius of the circle having center Z.
The Angle between Radius and tangent line measures 90°.
Also, The theorem which we will use here to find out which option is true among four options is:
⇒Length of tangent from external point to a circle are equal.
In Δ ZAS and Δ ZBS
∠ ZAS = ∠ ZBS→→→Each being 90°
ZA=ZB→→→Radii of circle
SA=SB→→Length of tangent from external point to a circle are equal.
Δ ZAS ≅ Δ ZBS→→→→→[SAS]
∠ ASZ ≅ ∠BSZ→→→→→→[CPCT]
Option D: ∠ ASZ ≅ ∠BSZ is correct among four options.
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Step-by-step explanation:
In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12
Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.
or 0.2424 or 24.24%