Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines:
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:








Now, we will use inverse cosine or arc-cos to solve for angle Z as:



Therefore, the measure of angle Z is approximately 51 degrees.
X<264/203
A good site to use for problems like this is Wolfram Alpha, just google it and it should show up!
Answer:
5
Step-by-step explanation:
Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
1. Intersection
2. complement
3. Union
4. finite set
5. disjoint sets
6. proper subset
7. subset