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.
Well actually Patty is faster by 4 6/10 seconds. Since 33 9/10 - 29 3/10 = 4 6/10
The complete question in the attached figure
we know that
[area of rectangle]=b*h
b=(x+2)
h=(2x+2)
Area=130 m²
then
130=(x+2)*(2x+2)--------> 2x²+2x+4x+4-130=0--------> 2x²+6x-126=0
the answer Part a)
the equation to find x is
[2x²+6x-126=0]
<span>b.) solve the equation by completing the square</span>
130=(x+2)*(2x+2)
using a graph tool
see the attached figure
the solution is
x=6.58 m
the answer Part b) is
<span>(x + 2)(2x + 2) = 130; x = 6.58 m</span>
Answer:
33 in
Step-by-step explanation:
The Pythagorean theorem tells you ...
diagonal² = length² +width²
diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²
diagonal = √(1068.25 in²) ≈ 32.684 in
The diagonal of the television is about 33 inches.