Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
Answer:
sorry never seen this
Step-by-step explanation:
f(x) = 2x - 1
To obtain a function we require values of x for x = 3, 4, 5 , 6, .....
The output appears to increase in steps of 2
3 → 5
4 → 7
5 → 9
6 → 11
Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1
f(x) = 2x - 1 ← is a possible function
checking the values for x in the input
f(3) =(2 × 3 ) - 1 = 5
f(4) = (2 × 4 ) - 1 = 7
f(6) = (2 × 6 ) - 1 = 11
f(11) = (2 × 11 ) - 1 = 21
Answer:
720º
Step-by-step explanation:
We can use vertical angles to figure this out. We can see that each of the unmarked angles in the triangles is a vertical angle to an empty space. A full circle has the measure of 360º. We need half of that which is 180º.
The sum of the angle measures of a triangle is 180º. We have five triangles so the total angle meaure is 900º.
However, we need to subtract the 180º to get 720º.
Answer:
Option D
Step-by-step explanation:
In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles
The Rule says

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.
Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.
Example
in first option we can apply Sine Rule as




