Answer:
B
Step-by-step explanation:
A scale model means that the ratios stay the same.
Therefore, Earth's diameter divided by Pluto's diameter is equal to the ratio of Earth's model's diameter divided by Pluto's model's diameter.
We can write this as
8000 / 1500 = 32/ Pluto's model's diameter. Representing Pluto's model's diameter as P, we can say
8000 / 1500 = 32 / P
multiply both sides by 1500 to remove a denominator
8000 = 32 * 1500 / P
multiply both sides by P to remove the other denominator
8000 * P = 32 * 1500
divide both sides by 8000 to isolate the P
P = 32 * 1500/8000
= 6 inches
13-8= 5 comic books to begin with,
is that the problem?
-.833...., -5.09..., -5.166.... so the order is the exact order you have it in in the question. I just converted it all to decimals because it's easier.
Answer: The answer is option B.
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
