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:
5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
The radius of the cone is 9 units.
The height of the cone is 12 units
The volume of the cone is represented by the expression 1/3pi(9)^2(12).
Step-by-step explanation:
Area of Square=side²
Side=√(Area of the square)
Given area of the square=196cm²
Side of the square=√196=14cm
Perimeter of square=4*side=4*14=56cm
Length of the rectangle=(14+x)cm
Breadth of the rectangle=(14-y)cm
Area of rectangle=Length*Breadth=
(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²
