The measure of a central angle is equal to measure of a minor arc. That makes m<GEH=17x+12. By the Vertical Angles Theorem, m<GEH and m<IEF are equal to each other (m<GEH=17x+12=m<IEF). By the same theorem, m<FEG and m<IEH are also equal (m<FEG=8x-7=m<IEH). The angles in a circle must all add up to 360 degrees, 2(17x+12)+2(8x-7)=360. Solve for x, then plug x into the equation for m<IEF.
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The probability that there is at most one purple marble is 0.9701.
<h3>What is the probability about?</h3>
Probability is a term that connote the possibility of an event or something occurring or not.
Note that it is one that is based on the level of occurrence that can be seen in a random event.
Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.
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Answer:
p = 250 - 15(w)
Step-by-step explanation:
Original amount: 250
No of weeks to return money: w
Amount to pay each week: 15
Amount that he has paid back: 15 × w (When we subtract this term from the total we will get the answer)
So after w weeks he owes his parents :
p = 250 - 15(w)
For the first part remember that an equilateral triangle is a triangle in which all three sides are equal & all three internal angles are each 60°. <span>So x-coordinate of R is in the middle of ST = (1/2)(2h-0) = h
And for the second </span><span> since this is an equilateral triangle the x coordinate of point R is equal to the coordinate of the midpoint of ST, which you figured out in the previous answer. Hope this works for you</span>
Answer:
1/8
Step-by-step explanation:
If she already had 1/4 of the box left, you just have to split 1/4 in half.