I believe it is the last answer choice
Answer:
Option D
Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
8x^2+x^2-9y^2-3y^2-4x-7x
9x^2-12y^2-11x
Using the cube formula for volume I got V=3.38cm^3
Answer: The correct answer is option C: 67
Step-by-step explanation: So we have four different lines intersecting at one point or the other and these are lines m, n, s and t. Also lines m and n are parallel, so we shall start from there. If lines m and n are parallel, then angle 74 along line n is equal to angle 9X + 2 along line m {corresponding angles are equal}. Therefore
9x + 2 = 74
9x = 74 - 2
9x = 72
Divide both sides of the equation by 9
x = 8.
Also the angle bounded by the intersection of lines m and s equals 74 {opposite angles are equal} because it’s opposite angle 9x + 2 and it’s also alternate to angle 74.
Looking at angle 5x - 1 along line t, substitute for the value of x
= 5(8) - 1
= 40 - 1
= 39
Therefore if angle 5x - 1 is calculated as 39, observe carefully that lines m, t and s intersect to form a triangle. The angles in the triangle are 39, 74 and S (labeled as angle 2). To calculate angle S,
S + 39 + 74 = 180 {Sum of angles in a triangle equals 180}
S + 113 = 180
Subtract 113 from both sides of the equation
S = 67
Therefore angle 2 equals 67 degrees.
Answer:
42
Step-by-step explanation:
If Mark purchased 3 yards there would be 509 yards left, divide that by 12 and you get 42.416 yards reamaing, or 42 full 12 yard fabrics.