I think the correct answer would be C. A validation of congruency between two polygons would be that if by applying rigid motions you can make them coincide. Two figures are said to be congruent if and only if these figures have the same shape and the same size. All of their sides and angles are the same. Rigid motion is a motion done to a figure that preserves distance or length. If all the rigid motions like rotation, reflection, translation and glide reflection are done and the figures are the same or the lengths are preserved, then the polygons should be congruent.
Let...
x=the number of red bricks
y=the number of blue bricks
Since she bought a total of 100 bricks... x+y=100.
Because the total cost is $560... 5x+7y=560.
Using these two equations, we can use the substitution method to solve for x and y.
x+y=100 ------------------------> x=100-y
subtract y on both sides
Because x=100-y...
this is x
5x+7y=560 (second equation) equals 5( 100 - y )+7y=560
This equation we created has only one variable so we can solve it.
5(100-y)+7y=560
500-5y+7y=560
2y+500=560
2y=60
y=30 blue bricks
Because x=100-y... x=100-30=70 red bricks.
Z = (X-Mean)/SD
<span>z1 = (580-600)/20 = - 1 </span>
<span>z2 = (620-600)/20 = + 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1*SD covers 68% of the values </span>
<span>Therefore, required percent is 68%
hopes this help :) :D :)</span>
Answer: If she buys 2 packages she gets 8 balloons. If she buys 3 then it’s 12 balloons and for 4 packages it’s 16 balloons.
Step-by-step explanation:
1 km = 0.621371 miles
so 5.067km = 3.1484 miles
That's one unit fraction
3.1484 miles / 225 mph = 0.139 hours to go around once
is a second unit fraction
then you can multiply that by 60 to get minutes 0.139 x 60 = 8.34 minutes