Answer:
The answers to the first question are A,C,D
The answer to the second question is YZ=16
Step-by-step explanation:
(1st Question)
Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.
You need to create the following equation to find the length of KN and MN 7x-4=5x+12
(Get the "x" variable to one side)
2x-4=12
(Isolate the variable)(Remove the 4)
2x=16
(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)
x=8 (Answer Choice)
Plug in the x value into each equation
KN= 7(8)-4
KN= 56-4
KN= 52
MN= 5(8)+12
MN= 40+12
MN= 52 (Answer Choice)
MN=KN
(Second Question)
Since XWY(20) is half of XWZ(40), ZWY also equals 20.
This now proves the triangle is congruent by the AAS postulate.
Since the triangles are congruent, if XY = 16, YZ also equals 16.
Answer: x = 16, x = 8
Step-by-step explanation:
|a| > 0, there are two solutions
|a| = 0, there is one solution
|a| < 0, there are no solutions
So, in this problem, we have two solutions.
In absolute value, the expression inside can be equal to itself OR its opposite.
Ex: |y| = y, |y| = -y
So, we can write two equations:
x - 12 = 4, x = 16
-x+12 = 4, x = 8
Check: |16 - 12| = |4| = 4
Check: |8 - 12| = |-4| = 4
Answer:
x= 3
Step-by-step explanation:
2x+3=9
2x = 6
x=6/2
x=3
<span>A)2x^2+3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2 and then shift the entire resulting graph up by 3 units. The graph will still look like a parabola that opens up.
</span>B)-2x^2-3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2, reflect the resulting graph in the x-axis, and then shift the entire resulting graph down by 3 units. The graph will still look like a parabola that opens down.
<span>
Answers to C and D are very similar, except that we compress the graph of x^2 v ertically by a factor of (1/2).
None of these A, B, C, D is wrong.
</span>
Answer:
<em>628 </em>
Step-by-step explanation:
Since the formula to find the volume of a cylinder is 
h, we just need to fill things in.
Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:
3.14*5^2*8.
5*5=25. Now we simplify.
3.14 * 25 * 8
78.5 * 8
<em>628 </em>
Hope this helps!! <3 :)
