Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture. We'll use map conventions, right is east, up is north.
The ball starts at (0,0). 10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet. It's isosceles because northwest means equal parts north and west.
The sides of these triangles are in ratio

so the coordinates after the first putt are

The negative sign indicates west, which doesn't really matter for this problem. The distance from the origin to this point is 10.3 as required.
Now a second putt of 3.8 feet north puts us at

The squared distance to the origin is exactly

A little calculator work tells us

Third choice.
Answer:
2 angles are shown one angle is 56 degrees and the other is 34 degrees
Step-by-step exp
complementary angle=90 degree
56+34=90
For number 30 its 3
10
for 34 its 2
1/3