Step-by-step explanation:
due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.
in other words it is the supplementary angle to 150° at B.
that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).
so,
x = 180 - 150 = 30°
now, for the same principle,
x + y = 70
y = 70 - x = 70 - 30 = 40°
All you need to do is go on the internet and it tells you what the answer is
Answer:
H is the circumcenter of triangle BCD
- CD = 2FD = 2*32 = 64
- CE = BE = 26
- HD = HC = 33
- GD = 1/2BD = 1/2(58) = 29
- HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75
- HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06
Answer:
−12
Step-by-step explanation:
8 - 5 = -3
-3 x 4 = -12