First, find the missing leg of ΔBCD (line BD). Using the Pythagorean Theorem, subtract (5^2)-(3^2) [25-9], and you get 16. Find the square root of 16, and you get <em>4</em> for line BD. Now, you can find AB. Add (7^2)+(4^2) [49+16], and you get 65. Now, since 65 isn't a perfect root, just use √(65)
Answer: Line AB equals √(65).
Answer:
b = 32.575
Step-by-step explanation:
The y-intercept is 32.575.
Answer:

Step-by-step explanation:
Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.
Let us check:
A. x = 21 over 4 and x = -11 over 4
This one is a very simple to say no to, as we are talking about decimals (if you convert into decimals at this point), as in -16 there are no decimals.
False.
B. x = -1 and x = 9
-1 is correct. But 9 is not. Why? Here:
9 + 5 is 14
14 the multiplied by -4 does not equal -16
False.
C. x = -1 and x = -9
Like what I said before, -1 is correct, now in this answer, -9 is also correct.
Unlike the last one, this one is -9 + 5 which is -4, then since it is inside the positive brackets, the number 4 becomes positive.
4 * -4 = -16
True.
The last one is incorrect. You know why
;)
Answer:
<ABC = 54 degrees
Step-by-step explanation:
Taking the sum of angle on the straight line ABD as 180 degrees
3x+9 + 9x - 9 =180
12x = 180
x = 180/12
x = 15 degrees
Since <ABC = 3x+9 (vertically opposite angles)
<ABC = 3(15)+9
<ABC = 45+9
<ABC = 54 degrees
I think the mean with outliers excluded are called trimmean.