90
-12. The newsstand had 90 copies at the beginning of the day
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78
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
Step-by-step explanation:
Step 1:
The scale factor is given by dividing the measurement after scaling by the same measurement
The given drawing of the insect is larger than the actual insect.
The scale factor is 20: 1 which means 20 cm on the drawing is 1 cm on the actual insect.
Step 2:
To obtain the actual insect's dimensions, we divide the dimensions of the drawing by 20.
The width of the actual insect 
The height of the actual insect 
The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.
The supplement of a 9 degree angle is 171 degrees.
The measure of a central angle is equal to measure of a minor arc. That makes m<GEH=17x+12. By the Vertical Angles Theorem, m<GEH and m<IEF are equal to each other (m<GEH=17x+12=m<IEF). By the same theorem, m<FEG and m<IEH are also equal (m<FEG=8x-7=m<IEH). The angles in a circle must all add up to 360 degrees, 2(17x+12)+2(8x-7)=360. Solve for x, then plug x into the equation for m<IEF.
Hope this helps!
Answer:
33, 39, 45, 51
Step-by-step explanation:
The general term of an arithmetic sequence is given by the formula ...
an = a1 + d(n-1) . . . where a1 is the first term and d is the common difference
Comparing this formula to the one you are given, you see that ...
a1 = 33, d = 6
This means the first term is 33, and each successive term is 6 more than the previous one. The first 4 terms are ...
33, 39, 45, 51
