(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees
(ii) YXZ = 23 degrees
Alternate angles in a segment are the same
(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle
(Don't forget to include the reasons above full marks)
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
Yes because $56 + 6.25% = 56.0625
And 15% of 56.0625 is 8.409375
So, 56.0625 + 8.409375 = $64.471875 making the total right under $65.
Answer:
D
Step-by-step explanation:
8x=-15+12
8x=-3
x=-3/8 =-0.375