Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
To the nearest whole number it would be 1
Answer:
Two hundred would be appropriate for a random sample.
Answer:
Not independent
Step-by-step explanation:
The number of single bedroom apartments is 90;
The number of single occupants in that 90 is 64;
64/90 or 32/45 is the rate that a single occupant lives in a 1 bedroom apartment.
The number of multiple bedroom apartments is 110;
The number of single occupants in that 110 is 12;
12/110 or 6/55 is the rate that a single occupant lives in a multiple-bedroom apartment.
The rate of single occupants in any type of apartment is 76/200 or 19/50
32/45>19/50>6/55; since the rate of single occupants in 1 bedroom apartments is higher than the rate of single occupants living in any type of apartment and a multiple-room apartment, the event that an apartment has 1 bedroom and 1 occupant is not indepenent.
Subtract 5x to both sides