1) Answer: A
because trangles RST is similar to VUT as:
<RST=<VUT=55 (Angle)
<RTS=<VTU=90 (it seems right angled) Angle
So by AA similarity...(two angles similarity is enough)
2) Answer:B
y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.
3) Answer: A should be right choice. Step 1 is wrong here which is,
m<m + m<n + m<p=180 (wrong)
It should be:
m<m + m<n + m<0=180 (right)
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Answer:
153. 86 units squared
Step-by-step explanation:
3. 14 x 7^2= 153. 86
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.
The answer is currently A so yep thats the answer ok