Answer:
True.
Step-by-step explanation:
A data set can have the same mean, median, and mode.
Answer:
Step-by-step explanation:
If the second angle's measure is based on the first angle's measure, and the third angle's measure is also based on the first angle's measure, then the first angle is the main angle. We will call that x.
1st angle: x
2nd angle: x + 20%
3rd angle: x - 20%
By the Triangle Angle-Sum Theorem, all those angles will add up to 180, so:
x + (x + 20%) + (x - 20%) = 180 and
3x = 180 so
x = 60. That means that
2nd angle: 60 + (.2*60) which is
60 + 12 = 72 and
3rd angle: 60 - (.2*60) which is
60 - 12 = 48. Let's check those angles. If
∠1 = 60
∠2 = 72
∠3 = 48,
then ∠1 + ∠2 + ∠3 = 180 and
60 + 72 + 48 does in fact equal 180, so you're done!
Answer:
Therefore, the exact value of Tan 60 degrees is √3. We can also derive the values of tan 0°, 30°, 45°, 90°, 180°, 270° and 360° in the same way
Answer: 7.2x10 3
Step-by-step explanation:
Answer:
AC = 40
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.
A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.
Given parallelogram ABCD:
Diagonals AC and BD bisect each other at point E. Hence:
AC = AE + CE (line segment addition postulate)
Also:
AE = CE (diagonal BD bisects AC at point E).
Hence; x + 16 = 5x
5x - x = 16
4x = 16
x = 4
AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20
AC = AE + CE = 20+ 20 = 40
