Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
Answer:
9 Sides
Step-by-step explanation:
According to the Question,
- Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides
Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.
Put The Values in Formula, we get
1260=180(n−2)
n-2 = 7
n=9 (9 Sides)
M + s = 10 or s = 10 - m
<span>3m + 2s = 23 </span>
<span>substitute first equation into second equation: </span>
<span>3m + 2(10 - m) = 23 </span>
<span>3m + 20 - 2m = 23 </span>
<span>m = 3 </span>
<span>using first equation: </span>
<span>s = 10 - 3 = 7 </span>
<span>check using second equation: </span>
<span>3(3) + 2(7) = 23 </span>
<span>9 + 14 = 23 checks </span>
<span>He hit 7 stationary and 3 moving targets.</span>
Step-by-step explanation:
A It must be an equilateral triangle with the same side lengths as the original triangle
