Answer: A
Explanation: using the common ratio we can solve this. 24:8 = x:4
24 divided by 8 is 3.
Therefore x divided by 4 should be 3 too.
4 multiplied by 3 is 12, so x = 12.
For y:
When triangles are similar, the angles are always the same. So y is simply 40 degrees.
As the moon's diameter is straight, the distance from the observer to the moon and the diameter are at 90°, subtending an angle at the viewer's eye. This is:
tan∅ = diameter / distance
tan∅ = 2160 / 238,860
∅ = 0.52°
Wouldn’t the answer be 40 be cause you multiply?
Answer:
The slope is 
.
Step-by-step explanation:
Math Vocabulary Values
Vertical Change -1
Horizontal Change 3
Slope
The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).
