Calculate the value of Y in the diagram
18o
42o
48o
132o
Correct answer is C
x = 180° - 123° = 57°
z = 180° - 105° = 75°
y = 180° - 57° - 75° = 48°
In the diagram above, |XR| = |RY| = |YZ| and ∠XRY = ∠YRZ = 62o, Calculate ∠XYZ
50o
62o
112o
115o
Correct answer is D
In triangle RXY, < RXY = < RYX (base angles of an isosceles triangle)
\(\implies\) 180° - 62° = 2 < RYX
118° = 2 < RYX \(\implies\) < RYX = 59°
In triangle RYZ, < RZY = 62° (base angles of an isosceles triangle)
\(\therefore\) < RYZ = 180° - (62° + 62°)
= 180° - 124° = 56°
\(\therefore\) < XYZ = 56° + 59°
= 115°
I and II only
II and III only
I and III only
I, II, and III
Correct answer is C
Isosceles triangle and Kite shapes have 1 line of symmetry each while the rhombus has 2 lines of symmetry.
The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon?
5
6
8
9
Correct answer is B
Let the exterior angle = d
Note: Exterior angle + Interior angle = 180°
\(\implies\) d + 2d = 180°
3d = 180° \(\implies\) d = 60°
Recall, exterior angle = \(\frac{360}{\text{no of sides}}\)
\(\therefore \text{No of sides} = \frac{360}{60}\)
= 6 sides
\(\frac{2}{11}\)
\(\frac{4}{11}\)
\(\frac{5}{11}\)
\(\frac{11}{13}\)
Correct answer is A
Let the number of people that speak both English and French = x
Then (7 - x) + x + (6 - x) = 11
13 - x = 11 \(\implies\) x = 2.
\(\therefore\) P(picking a person that speaks both languages) = 2/11
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