line AE and line DF are parallel. If m∠ABG = 11x and m∠HCF = 10x + 9, what is m∠ABG? points B and C are on line GH between point
s G and H, line AE intersects with line GH at point B, line DF intersects with line GH at point C 102° 99° 81° 9°
1 answer:
Answer:
Option B.
Step-by-step explanation:
It is given that AE and DF are parallel lines. Line GH intersect both lines. Line AE intersects with line GH at point B, line DF intersects with line GH at point C. As shown in the below figure.
m∠ABG = 11x and m∠HCF = 10x + 9.
From the below figure it is clear that ∠ABG and ∠HCF are alternate exterior angles. So, measure of these angles are equal.
The value of x is 9.
Therefore, the correct option is B.
You might be interested in
Answer:
a
The Null hypothesis represented as
The Alternative hypothesis represented as
b
p-value = P(Z < -3.37 ) = 0.000376
c
There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Step-by-step explanation:
From the question we are told that
The population size is
The sample size for graduates is
The sample mean for graduates is
The sample standard deviation for graduates is
The sample size for under-graduates is
The sample mean for under-graduates is
The sample standard deviation for graduates is
The Null hypothesis represented as
The Alternative hypothesis represented as
Where are the population mean
Now the test statistic is mathematically represented as
substituting values
The p-values is mathematically evaluated as
p-value = P(Z < -3.37 ) = 0.000376
The above answer is gotten using a p-value calculator at (0.05) level of significance
Looking the p-value we see that it is less than the level of significance (0.05) so Null hypothesis is rejected
Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students