It helps to imagine the variable a sort of as a unit. Like with 5 minus 12 lemons, it has no bearings on the addition/subtraction here.
Factor out a and subtract.
Answer:
A rotation ____on the coordinate plane________ a figure around a fixed point called the center of
___rotation_____________.
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B =
=
=
, thus
B =
(
) ≈ 66.42° ( to the nearest hundredth )
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.





Which is in simplest radical form.
Hope this helps!
It is easier to write the equivalent ratios first, then use that information to find the missing values.
3. ratio: cars/trucks = 3/5, or trucks/cars = 5/3. Missing value: 6/3*5 = 10.
4. ratio: TVs/Computers = 2/7, or Computers/TVs = 7/2. Missing value: 21/7*2 = 6.