24. unit rate
25. ?
26. surface area
27. trial
28. supplementary angles
29. variable
30. unit conversion ?
You said each equation but only posted one.
The standard form takes the place of
Ax + By = C.
y-5 = -3(x+2)
y - 5 = -3x - 6
y = -3x - 6 + 5
3x + y = -1
Done.
Graphing the points shows you that ...
The 2 towns closest together are Dunkirk and Allentown.
The 2 towns farthest apart are Dunkirk and Clearfield.
_____
A compass (or dividers) can help you sort it out once you plot the points on a graph, if you don't trust your eyeballs to tell you which distances are longest and shortest.
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
All angles in a triangle add up to 180 degrees. So, if you are missing an angle, add up the degrees of the angles present and subtract that from 180. That will be the value of the missing angle in degrees.
