9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
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∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
Answer:
there are 40 boys
Step-by-step explanation:
32/4=8 5*8=40
Factor the numerator and factor the denominator.
Then you divide the numerator and the denominator by the common factor to reduce the fraction.
Answer: 2 can go into 120 60 times.
Step-by-step explanation:
120/2 = 60
To start off, you want to make the equations. first, we will make x = chocolate candy and y=caramel candy since thats the order they come in the problem. we know she bought 20 pieces of candy, so we now know our first equation, x+y=20. next, if each chocolate candy costs $.50, that now makes x in our second equation .5x. the y will then be .1y. they then total up to equal $6.80, so our second equation is .5x+.1y=6.8. to then find x, subtract the y from the first equation to get x=20-y. then in the second equation, replace x with y and solve. you then get y=8, so we know britney has 8 caramels. now in the first equation, replace the y to get x+8=20. and now x=12
