Which list correctly orders A, B, and C from least to greatest when A = –8, B = StartAbsoluteValue negative 6 EndAbsoluteValue,
2 answers:
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Answer:
If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?
Suppose two angles ABC and CBD are x and y.
x+y = 180 deg.
The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.
Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle
Adjacent angles are when the 2 angles have a common vertex and a common arm.
if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.
Then the sum of the 2 adjacent angles is a right angle - 90°.
When 2 angles add up to 90°, they are called a pair of complementary angles.
Step-by-step explanation:
Answer:
The total length of the Dogwood Trail is 24 kilometers
The difference between the lengths of the trails is 6 kilometers
Step-by-step explanation:
<u><em>The complete and correct question is</em></u>
The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
<u><em>The picture in the attached figure</em></u>
step 1
Find the value of a
Applying the Pythagorean Theorem in the right triangle ABC
step 2
Find the value of b
Applying the Pythagorean Theorem in the right triangle CDE
step 3
Find the total length of the Dogwood Trail (solid blue line)
The total length is equal to
---> by segment addition postulate
substitute the given values
substitute the value of a and b
step 4
Find the total length of the Elm Trail (dashed red line)
The total length is equal to
---> by segment addition postulate
substitute the given values
<u><em>Verify the following statements</em></u>
Part 1) The total length of the Dogwood Trail is 16 kilometers
The statement is false
Because
The total length of the Dogwood Trail is 24 kilometers (see the explanation)
Part 2) The total length of the Dogwood Trail is 24 kilometers
The statement is true (see the explanation)
Part 3) The Elm Trail is longer than the Dogwood Trail
The statement is false
Because
The Elm Trail is smaller than the Dogwood Trail
Part 4) The difference between the lengths of the trails is 2 kilometers
The statement is false
Because
The difference is equal to
Part 5) The difference between the lengths of the trails is 6 kilometers
The statement is true
Because
The difference is equal to
<u>Answer-</u>
The standard error of the confidence interval is 0.63%
<u>Solution-</u>
Given,
n = 2373 (sample size)
x = 255 (number of people who bought)
The mean of the sample M will be,
Then the standard error SE will be,
Therefore, the standard error of the confidence interval is 0.63%