Answer:
X = 12
4x + 12 = 5x
subtract 4x on each side and you're left with x=12
For a survey like this, you want to take a random sample. It would be a good idea to use an alphabetical list of the students. Then, you could randomly select students from the list.
The principal would want to avoid surveying all the same type of students. For example, don't just ask the athletes.
Find the slope first:
m=y2-y-1/x2-x1
m=2-10/-3-1
m= -8/-4
m= 2
Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b
Rewrite the equation with your slope &intercept:
y=2x + 8
That's ^ the equation that describes your line!
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
To move a graph up, you need to add the units tot he end of the equation.
The graph of f(x) is f(x) = 15x+60
So add 12 to the equation to get g(x) = 15x +72
The answer would be A.
