Solve a triangle with a=25, b=30, and c= 160°
(picture provided)

Option d.

Step-by-step explanation:

For this problem we have 2 sides of a triangle (a and b) and the angle between them C = 160 °.

We have a triangle of type SAS.

We have:

a=25

b=30

C= 160°

Then we use the law of cosine.

Now we substitute the values in the formula to find c

Now we use the cosine theorem to find B. (You can also use the sine)

Finally:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.