The answer is 18x^4 - 30x^3 + 66x^2 - 40x + 56
Answer:
x = 6
Step-by-step explanation:
Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.
Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC
AC = 18cm
CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,
4x - 6 = 18 (two sides of an isosceles ∆ are congruent)
Add 6 to each side of the equation.
4x - 6 + 6 = 18 + 6
4x = 24
Divide both sides by 4
4x = 24/4
x = 6
Two lines are perpendicular between each other if their slopes fulfills the following property

where m1 and m2 represents the slopes of line 1 an 2, respectively.
To find the slope of a line we can write it in the form slope-intercept form

Our original line is

Then its slope is

Now we have to find the slope of the second line. Using the first property,

Then the second line has to have a slope of 8.
The options given to us are:

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.
Then the line perpendicular to the original one is
Answer:576
Step-by-step explanation:
7sqrt = 49 since the base is a square.
49 x 2 = 98 - since there's 2 of those identical squares.
7 x 5 = 35 - area of the rectangular face.
35 x 4 = 140 - since there's 4 of those faces.
140 added by 98 is 238.
So answer is B.