We know that the midpoint is the a point in the center of the line (r). This means that from the midpoint to the endpoint (qr) is half the length of the overall line. This means that 5.7 (the length of qr) units is half the length of the line. Two halves make a whole so 5.7 × 2 = 11.4 units as the length of the entire line qs.
Hope this helps!
2, sin( θ )=6/12=1/2 => theta=30 degrees.
=> triangle is 30-60-90
3.
Cos(45)=sqrt(2)/2
=> x=10*sqrt(2)/2=5sqrt(2)
Answer:
Step-by-step explanation:
If Daniel does 1/9 of the job in one hour
let x = Paul's rate
Paul does 1/x of the job in one hour
They both do the job in 4.95hrs
(1/9)(4.95) + (1/x)(4.95) = job completion
multiply both sides by 9x
(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)
4.95x + 9*4.95 = 9x
4.95x + 44.55 = 9x
9x - 4.95x = 44.55
4.05x = 44.55
x = 44.55/4.05
x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone
Answer:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:
Joining like terms:
Adding 24:
Dividing by 64:
x=6°
Thus:
The measure of angle J is 44°
