Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Answer:
a) Angle XBC = 55 because XY is parallel with BD
b) As given, XB = XC, so that triangle XBC is the equilateral triangle.
As XBC is equilateral triangle, angle XBC is equal to angle XCB
Angle XBC = 55° => Angle XCB = 55°
In a triangle, the total value of three corners are equal to 180°
So that: Angle XBC + Angle XCB + Angle BXC = 180°
=> 55° + 55° + Angle BXC = 180 °
=> Angle BXC = 70°
The equation that best fits the situation is w = 150 * 5 (or the other way around). Since the numbers that would be used are already stated, the equation would be as simple as that. We know that the operation would be multiplication because of the term used "150 for EACH hour" which usually indicates the operation is multiplication.
Hope I helped and good luck!
Answer:
I need the rest of the question
Step-by-step explanation:
Sorry I want to help you but I cant unless there is a (example): 12+-3= n/4 -12.4
or a list of options to choose from like what will equal 6? A.2 B.3 C.100 D.9
if you give me the rest I can solve, thanks :)
