Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
interior angle of n-gon formula: 180 - ( 360 / n)
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30)
interior angle = 180 - 12
interior angle = 168
answer
168 degrees
Answer:

Step-by-step explanation:
The division problem given to us is
.
To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is
.
We carry out the synthetic division as shown in the attachment.
The result of the synthetic division is 4 -27 167 -996
The first three terms are the coefficients of the quotient and the last term is the remainder.
Therefore the quotient is
and the remainder is
.
The dividend, the quotient and the divisor are written as

The correct answer is A
Answer:
Answer is line and ray.
Step-by-step explanation:
Ray - A ray starts from a point and ends to the infinity.
Therefore, ray is one dimensional and has infinite length.
Point - It is one dimensional but has no length.
Plane - It may be three/two dimensional.
Segment - It is one dimensional but has a limited length.
Line - It's one dimensional with infinite length.
Angle - It's two dimensional structure.
Answer is line and ray.
Answer:
a
The null hypothesis is

The Alternative hypothesis is

b

c

d
Yes the mean population is significantly less than 21.
Step-by-step explanation:
From the question we are given
a set of data
20 18 17 22 18
The confidence level is 90%
The sample size is n = 5
Generally the mean of the sample is mathematically evaluated as


The standard deviation is evaluated as



Now the confidence level is given as 90 % hence the level of significance can be evaluated as

%

Now the null hypothesis is

the Alternative hypothesis is

The standard error of mean is mathematically evaluated as

substituting values


The test statistic is evaluated as

substituting values


The critical value of the level of significance is obtained from the critical value table for z values as

Looking at the obtained value we see that
is greater than the test statistics value so the null hypothesis is rejected