Answer:
the student in question bought 3 large notebooks and 3 small notebooks
Step-by-step explanation:
the easiest way to explain how to do this is by recognizing that the student bought $54 worth of notebooks- which is not divisible by 10 easily. that means, we should subtract 8 from 54 until we get a number that IS divisible
54 - 8 = 46 (one small notebook)
46 - 8 = 38 (two small notebooks)
3 8 - 8 = 30 (three small notebooks)
then, divide 30 by 10 to see how many large notebook the student bought.
30/10 = 3
the student in question bought 3 large notebooks and 3 small notebooks
Hey there!
3(q + 34)= 2
First distribute:
3(q) + 3(34)
3(q) = 3q
3(34) = 102
New equation: 3q + 102 = 2
Subtract by 102 on each of your sides:
3q + 102 - 102 = 2 - 102
Cancel out: 102 - 102 because it gives us 0
Keep: 2 - 102 because it helps us solve for our q
2 - 102 = - 100
New equation: 3q = -100
Divide both sides by 3
3q/3 = -100/3
Cancel out: -3q/3 because it gives us 1
Keep: -100/3 because it gives us the answer for q
Answer: q = -100/3 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
51.7037037037
Step-by-step explanation:
But estimated, probably 51.7 or 52
The intersecting secant-tangent theorem says that

where T is the point at which line segment PO touches the circle. Similarly,

so we have

OP is of course as long as itself, and AO and BO are radii of the same circle so they have the same lengths.
This means triangles APO and BPO are congruent, which means angles APO and BPO are congruent, so angle APB is bisected by PO.