PLEASE HELP QUESTION IN PICTURE
1 answer:
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
- This means that b + 25 + 100 = 180
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 125 from both sides.
Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
- This means that 110 = d + 55
2. (Solving)
Step 1: Subtract 55 from both sides.
Therefore, d = 55.
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Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P