The answer is 90. Hope this helps
Answer:
x=22
Step-by-step explanation:
Rule states diagonals = same so 6x-36 = 96 in which x=22 cause 6(22)=132
132-36 = 96
The sum of the interior angles of a triangle = 180 degrees. So, all of the angles on the inside of the triangle will add up to 180.
60 + 40 + ? = 180
100 + ? = 180
? = 80
The missing angle in the triangle is 80 degrees.
Hope this helps!
Im autistic............................................................................................
Answer: The area of the shaded sectors is 35.3 square kilometres
Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is 5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;
WZX + YZX = 180
108 + YZX = 180
Subtract 180 from both sides of the equation
YZX = 72°
Therefore the area of shaded sector YZX is given as;
Area of a sector = (∅/360) x πr²
Where ∅ is 72, and r is 5.3
Area of sector = (72/360) x 3.14 x 5.3²
Area of sector = 0.2 x 3.14 x 28.09
Area of sector = 17.64
Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)
The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)