Answer:
(x, y, z) = (7, 9, 90)
Step-by-step explanation:
The two acute angles between l1 and l2 are vertical, so congruent.
(9x -7) = 8x
x = 7 . . . . . . . . . add 7-8x
These are supplementary to the obtuse angle between those lines:
8(7) + (13y +7) = 180
13y = 117 . . . . subtract 63
y = 9 . . . . . . . divide by 13
The angle marked z is supplementary to the angle marked as a right angle.
z + 90 = 180
z = 90
Answer:
<h3>(x + 4) [(x + 4) - (x - 2)]</h3>
Step-by-step explanation:
![(x+4)^2-(x-2)(x+4)=\boxed{(x+4)}(x+4)-(x-2)\boxed{(x+4)}\\\\=\boxed{(x+4)}[(x+4)-(x-2)]](https://tex.z-dn.net/?f=%28x%2B4%29%5E2-%28x-2%29%28x%2B4%29%3D%5Cboxed%7B%28x%2B4%29%7D%28x%2B4%29-%28x-2%29%5Cboxed%7B%28x%2B4%29%7D%5C%5C%5C%5C%3D%5Cboxed%7B%28x%2B4%29%7D%5B%28x%2B4%29-%28x-2%29%5D)
Answer:
i think its 3/4
Step-by-step explanation:
hope that helps
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.