Answer:
∠NQP = 74°
Step-by-step explanation:
NPQ is a triangle.
We know the sum of 3 angles of a triangle is 180 degrees. So we can write:
N + P + Q = 180
2x + 34 + 2x + 2 = 180
Now, we can solve for x:

The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:
∠NQP = 2(36) + 2 = 74°
The number of handshakes is the number of ways 6 objects can be selected 2 at a time.
.. C(6,2) = 6·5/(2·1) = 15
The appropriate choice is
... C) 15
_____
Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.
Answer:
q=3
Step-by-step explanation:
Answer:
Check below
Step-by-step explanation:
There are rigid transformations that produce congruent figures: translation, rotation, and one transformation that produces a similar figure, namely: Dilation.
1) Toyota: translation, and Dilation.
Two ellipses translated within a larger ellipse.
2) 2 Reflections, or 4 rotations of the pre-image
We have two ways of drawing this figure. Either by reflection of the right and the lower one or by rotation.
3) CBS: Dilation of the circumference, inside a rhombus.
4) Mitsubishi: Reflection about the y axis, Rotation for the figure up.
e) Reflection
f) Translation