Answer:
Step-by-step explanation:
Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,
2j + 32 + 6j - 2 + 30 = 180 and
8j + 60 = 180 and
8j = 120 so
j = 15
I believe the probability is 1/2
Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
Answer:
x=3.5
Step-by-step explanation:
You can find x by finding the hypotenuse of that triangle, which is the leg of the other triangle. Find the value of the leg first:
You can use the sine ratio to find the leg. This is because 
and we have the hypotenuse for that triangle and we need to find the side opposite the given angle, 45°. Insert values:
Solve for x. Multiply both sides by 7:
Enter the value into a calculator:
The leg is 4.9. Use this to solve for the next x. Use the sine ratio for the same reason. Insert values:
Solve for x. Multiply both sides by 4.9:
Insert into a calculator:
Finito.
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
=<u> a² - b²</u> + 2abi
= (a + b) (a - b) + 2abi
