30mi/2hr
Explanation: just divide both by two. It won’t always work like this. You can’t always divide something by 2 to get 2. Find a number that will go into the denominator two times and divide the numerator by it also.
Answer:
20 %
Step-by-step explanation:
70 X 0.20% = 56
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
Answer:
AP = RA = 1.5 cm
PB = BQ = 8.5 cm
QC = CR = 3.5 cm
Step-by-step explanation:
The distance from the vertex to the two nearest tangent points is the same. If we say the distance AP = RA = x, then PB = BQ = 10-x, and QC = CR = 5 -x.
Since we know
BQ +QC = 12
We can substitute the above expressions involving x to find what x is.
(10 -x) +(5 -x) = 12
15 -2x = 12
x = (15 -12)/2 = 1.5
This tells us ...
AP = RA = 1.5 cm
PB = BQ = 8.5 cm
QC = CR = 3.5 cm
