Answer:
Angle CAB
Step-by-step explanation:
Given that a triangle ABC is rotated 100 degrees counterclockwise about a point P. New triangle formed is Triangle A'B'C'.
A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise. The fixed point in which the rotation takes place is called the center of rotation.
Here fixed point is P and angle is 100 degrees
The property of rotation is rotation is a transformation of transforming a geometric figure to a similar figure.
In other words, by rotation here ABC will be similar to A'B'C'
Hence angles of ABC will remain equal to angles of A'B'C' in that order.
So m/_ C'A'B'=m /_CAB
Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost = 
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Answer:
-20x+10x+1
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
the circumference would be 18.84
