Two inequalities are equivalent if they have the same set of solutions.
x - 5 ≤ 6 - 5
x - 5 ≤ 1 |add 5 to both sides
x ≤ 6
The points on the red arc are points A and B
The measure of the red arc is 75 degrees
<h3>How to determine the measure of arc XYZ?</h3>
From the complete question, we have:
Angle DCE = 75 degrees
By vertical angles theorem,
Angle ACB = Angle DCE = 75 degrees
So, we have:
Angle ACB = 75 degrees
The measure of the red arc is the same as the measure of the angle ACB.
So, we have:
Red arc = 75 degrees
Hence, the measure of the red arc is 75 degrees
Read more about arc and chords at:
brainly.com/question/25871159
An exterior angle is formed by one side of the triangle, and a side EXTENDED outside the triangle. Two angles are like that, ∠4 and ∠2.
Angle 3 is NOT an exterior angle because it is made up of two extended sides. It does not use one of the sides of the triangle.
Answer:
P(X 
74) = 0.3707
Step-by-step explanation:
We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Let X = Score of golfers
So, X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 73
= standard deviation = 3
So, the probability that the score of golfer is at least 74 is given by = P(X 74)
P(X 74) = P( 
) = P(Z 0.33) = 1 - P(Z < 0.33)
= 1 - 0.62930 = 0.3707
Therefore, the probability that the score of golfer is at least 74 is 0.3707 .
Answer:
C. solution:
3(3c-2) = 5(2c-1)
or, 9c-6 = 10c-5
or, -6+5 =<em> </em>10c-9c
or, -1 = 1c
Hence, c = -1.
D. solution:
5(5-2a) = 4(6-a)
or, 25-10a = 24 - 4a
or, 25-24 = -4a+10a
or, 1 = 6a
or, 1/6 = a
Hence, a = 1/6.
