A quadrilateral has two angles that measure 31° and 249°. The other two angles are in a ratio of 3:17. What are the measures of those two angles?

Step-by-step explanation:

We first need to find the measure of the other 2 angles.  The angles of a quadrilateral all add up to equl 360, so:

360 - 249 - 31 = 80

The other 2 angles add up to equal 80 degrees.  If these angles exist in a 3:17 ratio, then algebraically,

3x + 17x = 80 and

20x = 80 so

x = 4.  That means that one angle is 3(4) = 12 and the other angle is 17(4) = 68.

249 + 31 + 12 + 68 = 360.

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.