Answer:
The co-ordinates of Q' is (5,2).
Step-by-step explanation:
Given:
Pre-image point
Q(-7,-6)
To find Image point Q' after following translation.

Solution:
Translation rules:
Horizontal shift:

when
the point is translated
units to the right.
when
the point is translated
units to the left.
Vertical shift:

when
the point is translated
units up.
when
the point is translated
units down.
Given translation
shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'=
So, the co-ordinates of Q' is (5,2). (Answer)
Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r.

I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,





According to opposite vertical angle property.


Use angle sum property is triangle ABE.




Therefore, the measure of angle A is 60 degree.
Answer:
$3.75
Step-by-step explanation:
2/3 = $2.50
2.50/2 = 1.25
1.25x3 = 3.75
Use doubling and halving to solve. So halve 12 and double 50. Then solve. 6*100=600