Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer:
A)3.125hr
B)53.325mi
Step-by-step explanation:
speed=distance/time
an hour and 15min=1.25hr
32/1.25=25.6mi/hr
80/25.6=3.125hr
B)
2hr and 5min=2+5/60=2.083hr
2.083x25.6=53.325mile
The constant of proportionality is 5.5
Step-by-step explanation:
y = kx
k = constant of proportionality
y = <u>5.5</u>x
Answer:
0 is an integer of the number
are the critical points, and judging by the picture alone, you must have
and
. (You might want to verify with the derivative test in case that's expected.)
Then the shaded region has area
I'll leave the details to you.
Now, for part (iv), you're asked to find the minimum of
, which entails first finding the second derivative:
setting equal to 0 and finding the critical point:
This is to say the minimum value of
*occurs when
*, but this is not necessarily the same as saying that
is the actual minimum value.
The minimum value of
is obtained by evaluating the derivative at this critical point:
