Step-by-step explanation:
X-2=0 or x+10=0
X=2 or x=-10
Two roots
Answer:
Triangle ABE and triangle CDE are congruent by using SAS theorem.
Step-by-step explanation:
It is given that e is the midpoint of BD and
.
(E is midpoint of BD)
Angle AEB and angle CED are vertical opposite angle and the vertical opposite angles are always same.

(Given)
So by using SAS theorem of congruent triangles.

Therefore triangle ABE and triangle CDE are congruent by using SAS theorem.
Answer:
8 = f (13-2)
8=13f-2f
8=11f
8 / 11 = 11f / 11
8/11=f
f=8/11
Step-by-step explanation:
Answer:
1:2 and 4:6 which equal 3:10
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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.