Answer:
Its the last option. M and N are similar but not congruent.
Step-by-step explanation:
They have the same shape but are a different size.
BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
Answer:
Five pencils and two marches are worth greater than thirty paper clips.
Step-by-step explanation:
Let 'x' be paper clip.
Let 'y' be a match
and let 'z' be a pencil.
Now, let's write each statement as an equation:
Each paper clip can be traded for three matches:
x = 3y
Each pencil can be traded for six paper clips:
z = 6x
Now, five pencils equals 30 paper clips and two matches equals two thirds papel clips.
Therefore, we can say that Five pencils and two matches equals 30.66 matches. Therefore, five pencils and two marches are worth greater than thirty paper clips.
Answer: 32
Step-by-step explanation:
Answer: See below
Step-by-step explanation:
A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.
A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.
An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.
