Answer:
A)A reflection can be used to create DBE
B)The Angles are congruent, as the transformation was rigid, which preserves angle measure and side length.
C)All the angles are corresponding to the second figure as well as the sides. (name all the sides and angles that are corresponding)
Ex: ABC=DBE
Hope this helps!
P.S. Stay Safe!
-Andrew-OUT!
Let the number of pieces of gum be g and the cost of each piece be c.
gc=2.16. Also, (g+3)(c-0.01)=2.16.
So gc=(g+3)(c-0.01)=gc-0.01g+3c-0.03.
And -0.01g+3c=0.03 and c=2.16/g. -0.01g+6.48/g=0.03.
-0.01g²+6.48=0.03g; 0.01g²+0.03g-6.48=0 which can be more conveniently written:
g²+3g-648=0=(g+27)(g-24) so g=24, the number of pieces she actually had.
CHECK The cost of the gum, c=2.16/24=9 cents.
A penny cheaper makes the gum 8 cents a piece and she could have bought 27 pieces instead of 24.
Answer:
A. 57.2
Step-by-step explanation:
Given: Nelly runs = 10-mile race in 88 minutes. At the same rate but 6.5-mile race
To find: How long it would take him to run a 6.5-mile race
Solution: To calculate the how long;
<u>How to calculate running pace</u>
- Divide your run time by your distance
- If you ran 3 miles in 30 minutes: 30 min ÷ 3 mi = 10 minutes per mile pace
<u>How to calculate run distance</u>
- Divide your running time by your pace
- If your pace is 8 minutes per mile and you ran for 32 minutes: 32 min ÷ 8 min per mi = 4 miles
<u>How to calculate run time</u>
- Multiply your pace by your distance
- If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds
<u>How to calculate running speed</u>
- Divide your run distance by your run time
- If you ran 2.5 miles and you ran for 20 minutes:
2.5 mi ÷ 20 min = 0.125 miles per minute
