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Answer:
∠N = 10°
Step-by-step explanation:
Assuming the marked point on segment LN is supposed to be the center of the circle, arc NML is 180°, so arc ML is 180° -160° = 20°.
Arc ML is intercepted by inscribed angle LNM, so the measure of that angle is half the arc measure:
∠N = (1/2)(20°) = 10°
1. P(A) c. The probability that event A occurs.
2. P (A ∩ B) a.<span>The probability that both event A and event B occur.
3. </span>P (A ∪ B) <span>d. The probability that either event A or event B occurs
</span>4. 1 - P (A ∩ B) e. <span>The probability that both events A and B do not occur together, but either may occur by itself
</span>5. 1 - P (A ∪ B) f. <span>The probability that neither event A or event B occurs
</span>6. P (A | B) b.<span>The probability that event A occurs given the fact that event B occurs</span>
If О is the center of a circle then:
<span>
OA = OB = OC = OD [radii]
AB = AH + HB = 15 + 15 = 30 </span>⇒ AB = CD
<span>
So </span>ΔAOB ≅ ΔCOD [SSS rule] ⇒ x = OH = 16 units.
Answer: Game land sells 20 crayons for 5 cents less.
Step-by-step explanation:
Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.
Toy world (T): 25/4 = 6.25 cents per crayon
Game land (G): 30/5 = 6 cents per crayon
Now, we have to multiply the cost per crayon by 20.
T=6.25 x 20 = 125 cents
G=6 x 20 =120 cents
So, comparing both costs, Game land sells 20 crayons for 5 cents less.
125-120 = 5 cents
Swimming half way around implies half of the circumference.
Circumference = pi x diameter
C = pi x 20
C = 20pi
20pi / 2 = 10pi
You swam 10pi meters = 31.42 meters.
Hope this helps!! :)