Answer:
Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
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Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
Product means multiply
(10x^4y^2)(3xy3)
Numbers: 10*3 = 30
x: x^4 * x = x^5
y: y^2 * y ^3 = y ^ 5
Answer: 30x^5y^5
Powers don't multiply, they add. How confusing!
Answer:
Step-by-step explanation:
(x-3)/2 = 9
x - 3 = 18
x = 21
(y-5)/2= 6
y - 5 = 12
y = 17
(21, 17)
Answer:
27x^6y^9
Step-by-step explanation:
(3x^2y^3)^3 = 3^3 * (x^2)^3 * (y^3)^3 =
= 27x^6y^9
Answer:
Step-by-step explanation:
The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. This is the null hypothesis. It is written as
H0 : µ ≤ 34
The alternative hypothesis would be
Ha : µ > 34
This is a right tailed test because of the greater then symbol in the alternative hypothesis. Since the p value for the test was found to be 0.0281281, if we use a significant level of 0.05, then the conclusion would be
Reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average time spent on the deliveries does exceed 34 minutes.
