Answer:
ASA
Step-by-step explanation:
Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)
See the attached image. The tree should consist of paths (left-to-right) that exhaust all the possible arrangements. 3 choices for the first bag (R, G, or B), 2 choices for the second (color availability depends on the first bag), and 1 for the third (again dependent on previous color), so there are 
possible arrangements/permutations.
I'm pretty sure they all divide by 1/2 at some point.
Answer: -273
Step-by-step explanation:
This is an arithmetic progression and the formula to find the nth term is given as:
= a + (n-1)d
Therefore, the 100th term will be:
= a + (n-1)d
= a + (100 - 1)d
= a + 99d
where a = 222
d = -5
Therefore, a + 99d = 222 + 99(-5)
= 222 + (-495)
= 222 - 495
= -273
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.
