Write an equation in slope-intercept form for the line with slope 7 and y-intercept -7 .
1 answer:
You might be interested in
The value of x is 4 and the value of ∠ABC is 68°.
To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.
According to the condition BD bisects ∠ABC
Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.
The angle value of these two angles are equal.
Given:
m∠ABD=11x-10
m∠CBD=8x+2
Therefore from the above condition:
m∠ABD=m∠CBD
Substituting the values we get:
11x-10=8x+2
Solving the linear equation to find the value of x.
Now let us find the value of ∠ABC
m∠ABC=m∠ABD+m∠CBD
or,∠ABC=11x-10+8x+2
or,∠ABC=19x-8
Substituting the value x=4 in the equation we get:
m∠ABC=19×4-8
or,m∠ABC=68°
Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.
To learn more about angle bisectors:
#SPJ9
Answer: No, the percentage of the fleet out of compliance is not different from their initial thought.
Step-by-step explanation:
Since we have given that
n = 22
x = 5
So,
he company initially believed that 20% of the fleet was out of compliance. Is this strong evidence the percentage of the fleet out of compliance is different from their initial thought.
so, p = 0.2
Hypothesis would be
So, the t test statistic value would be
Degree of freedom = df = n-1 = 22-1 =23
So, t{critical value} = 2.080
So, 2.080>0.353
so, we will accept the null hypothesis.
Hence, No, the percentage of the fleet out of compliance is not different from their initial thought.