Answer:
Angle BCA is 74 degrees, angle MBC is 21, angle MCB is 37, and BMC is 122
Step-by-step explanation:
First off, MBC was an angle that was bisected by point M, meaning that if you took half of angle ABC, you would get your answer.
(0.5)(42)=21
Since you already have two angle measures, being ABC and BAC, you can find angle BCA by adding the two angle measures up, then subtracting by 180 to get your answer:
180=64+42+BCA, which your answer will be 74 degrees.
Now that you have found angle BCA, you take half of that angle measure to then find angle MCB, because point M bisected angles ABC, BAC, and BCA.
(0.5)(74)=37
Finally, since you have found the angles MBC and MCB, in order to find angle BMC you will have to do the same application for BCA:
180=21+37+BMC, which your answer will be 122 degrees.
Hope this helps!
Answer:
Subtracting a number is the same as adding the opposite of the number
Step-by-step explanation:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.
Answer:
1. $670
2.$920
3.$1500
4.$2100
Step-by-step explanation:
Hope it was fast enough & helpful .
Good luck ^^
Answer:
d. SYSTEMATIC SAMPLING
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Took every 10th member, that is, every kth member, which is systematic.
The correct answer is given by option d.
