Answer:
k = 4
Step-by-step explanation:
Rearrange so that like terms are on either side of the equation
4k - 2k - 2k + 2k = 5 + 3
Simplify
2k = 8
Divide both sides by two to make k on its own
k = 4
You are correct, well done!
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.
Speed=120step/min=720step/h
Distance=720step/h×2.75feet/step=1980feet/h=0.375miles/h
So the answer is: he can walking 0.375miles per hour
Answer:
-0.31.
Step-by-step explanation:
Cos (7π/5) is in the third quarter so the cosine is negative.
Cos 7π/5) = - cos (7π/5 - π)
= -cos 2π/5)
= -0.31.
