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.
Answer:
y=1x+1
Step-by-step explanation:
y=1x+1 gradient= 1 and y-intersept = 1
Answer:
150
Step-by-step explanation:
You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)
Step one know that across from 128 is 128 because of vertical angles
step two a straight line =180 so 128 -180 = 52
step three know you know 3k+4=52 so subtract 4 from 52 and that gives you 48 then divide by 3 to find k and 48/3 is 16
so k +16
because 16x3 is 48 then add 4 which is 52 and 52 plus 128 is 180
Answer:
x = 4
Step-by-step explanation:
Distributive Property: a(b + c) = (a*b) + (a*c)
2x - 4(x - 3) = -8 + 5x - 8
2x + x * (-4) - 3*(-4) = -8 + 5x - 8
2x - 4x + 12 = -8 + 5x - 8
2x - 4x - 5x + 12 = -8 - 8
-7x + 12 = -16
-7x = -16 -12
-7x = -28
x = -28/-7
x = 4
