D. The greatest a can be is 9 and the greatest b can be is 4. a+b= 13 which is less than 20
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.
Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35
sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32
Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
3x+y=8
y=8-3x
5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4
5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4
5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
The answer would be it has one solution
Answer: 24, c
Step-by-step explanation:
Looked it up