Answer:
Francine run 5.495 miles
Step-by-step explanation:
Given :
Francine ran 
laps around the circular track in the school gym.
The track has a diameter of 1/2 miles.
To Find : About how far does Francine run?
Solution :
First we need to calculate the perimeter of circular track :
Perimeter of circle : 
Since we are given the diameter = 1/2 miles = 0.5 miles
So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles
So, The perimeter will be:
Since 
⇒
⇒
Thus the circular track is of 1.57 miles .
Since she ran = 7/2=3.5 laps
1 lap = 1.57 miles
So, 3.5 laps = 1.57*3.5 =5.495 miles .
Hence , Francine run 5.495 miles
If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?
Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and
<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Total mass = 6.08 x 10^23 * 1.67 x 10^-24 = 1.01536
