Answer:
69
Step-by-step explanation:
Answer:
the set of integers
Step-by-step explanation:
Answer:
step 1: 4x=2
step 2: x=1/2
Step-by-step explanation:
Answer: Line AB = 5.2
Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,
SinA = opposite/hypotenuse
Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)
SinA = 4.3/5.6
SinA = 0.7679
By use of a calculator or a table of values
A = 50.17 degrees.
Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).
Sin 50.17 = opposite/hypotenuse
Sin 50.17 = 4/AB
0.7679 = 4/AB
By cross multiplication we now have
AB = 4/0.7679
AB = 5.2090
Approximately to one decimal place,
AB = 5.2 units
9514 1404 393
Answer:
85°
Step-by-step explanation:
Each of the isosceles triangles PAB and QBC has interior base angles of ...
(180° -80°)/2 = 50°
Then angle PBC is 90° -50° = 40°.
Segments PB and QB are the same length, so triangle PBQ is an isosceles right triangle. This means angle BPQ is 45°. Angle QEB is the sum of the remote interior angles of ∆BEP, so is 45° +40° = 85°.
The acute angle between PQ and BC is 85°.
