Definition: Triangles are congruent when they have exactly the same three sides and exactly the same three angles.
From the diagram you have that:
Triangles QRS and TUV have congruent corresponding sides and congruent corresponding angles. This means they are congruent triangles. Congruent triangles always have the same shape and the same size. Also each pair of congruent triangles is a pair of similar triangles with ratio of similarity equal to 1.
Answer: all choices are correct.
If each lap in a pool is 100 meters long,how many laps equal one mile
Round to the nearest tenth.(Hint:1 foot=0.3048 meter)
1 mile = 5280 ft
lets do a ratio: 1ft/.3034m = x ft/100m
the ft and meters sybols cancel, so 1/.3048 =x/100
so 100/.3038 = x = 329.164
so there are 329.164 ft for every 100 meters
to find the number of laps to get to a mile which is 5280, do another ratio
329.164ft/100 m =5280 ft/xm
the left side reduces to 3.29164 =5280/x
you can compute this and see that 5280/3.29164 = 1604.064 meters
1604.064 meters *1 lap / 100m = 16.04064 laps are required to make a mile
<span>At least 75% of the data will fall within 2 standard deviations of the mean.
This is tricky problem. Usually when you're dealing with standard deviation, you have a bell curve, or something close to a bell curve and for such a data distribution, there will be approximately 95% of the data within 2 standard deviations of the mean. But if you don't know that you have a bell curve, you have to fall back to Chebyshev’s Theorem, which states that at least 75% of the data points will fall within 2 standard deviations of the mean for any set of numbers.</span>
Answer:
8 1/4
Step-by-step explanation:
20 2/4
-
12 3/4
__________
8 1/4
