It’s phrased very weird, but I believe I have it figured out.
On the map, there distance of the race is 41.9 inches.
So, (41.9)(400) = 16760 feet
For an instance, g represents the original amount of girls and b represents the original amount of boys.
Write an equation based on the problem
There was 40% girls, the equation will be
g = 40% (b + g)
<span>first equation
</span>
If two girls left and two boys came, there was 30% girls, the equation will be
g - 2 = 30%(b + 2 + g - 2)
<span>second equation
</span>Work on the first equation
To make it easier in calculation, change percent into decimals
g = 40% (b + g)
g = 0.4(b + g)
g = 0.4b + 0.4g
Work on the second equation
Change percent into decimals and simplify the equation
g - 2 = 30%(b + 2 + g - 2)
g - 2 = 0.3(b + g)
g = 0.3b + 0.3g + 2
Solve the equation system by substitution method
g = g
0.4b + 0.4g = 0.3b + 0.3g + 2
0.1b + 0.1g = 2
0.1(b + g) = 2
b + g = 20
The original amount of boys and girls is 20
Find the original amount of girls
Original amount of girls is equal to 40% of the original amount of boys plus girls.
g = 0.4(b + g)
g = 0.4(20)
g = 8
The original amount of girls is 8
A.........................................
Answer:
6. 135°
7. 135°
Step-by-step explanation:
You have to assume that the figure is a regular octagon, so has central angles equal to exterior angles equal to 45°.
6. A regular anything is circumscribed by a circle, so the measure of any inscribed angle is half the measure of the corresponding central angle. That is, ∠BET =∠TBA = (45°)/2, so their sum is 45°. ∠BOT is the supplement of that, 180° - 45° = 135°.
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7. ∠GIT + ∠ITS is the same measure as one internal angle of the octagon. That is the supplement of the exterior angle we identified above as being 45°.
∠GIT + ∠ITS = 135°