It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer:
as 1 mile = 1.609 km
so 5miles = 8.045 km
so 2/3 of the trail = 2/3 × 8.045 = 5.3633333 (ans)
Hope it helps
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
Option A 0.1698
Step-by-step explanation:
Given that Jason has a chance for getting oil as 45%
THe kit he buys show accurate result with 80% probability
Let A1- Event that the land has oil
A2 - Event that the land has no oil
B- The test gives negative result
A1 and A2 are mutually exclusive and exhaustive
P(A1) = 0.45 and P(A2) =0.55
Hence we can use Baye theorem
Then P(B) = P(A1B)+P(A2B)=
Reqd prob =P(A1/B) =
Answer:
9.67
Step-by-step explanation:
32-22.33=9.67
Hope it helps ;)
