Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle
gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars? If bisects , then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. If bisects , then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent. If bisects , then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects. If bisects , then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
2 answers:
This question requires a diagram to show the position of point D. I found an attachment with the same question which I attached it along with this answer.
Answer:
If AC = BC, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects
Step-by-step explanation:
A line CD is a perpendicular line to line ACB intersecting point C. To understand it easier, if ACB is a horizontal lines, D is a point directly on top of C.
Any point directly on C which perpendicular to line ACB will always the same to the endpoint of the segments.
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Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
The confidence interval for the difference in proportions is
No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.
Step-by-step explanation:
We have to construct a confidence interval for the difference of proportions.
The difference in the sample proportions is:
The estimated standard error is:
The z-value for a 95% confidence interval is z=1.96.
Then, the lower and upper bounds are:
The confidence interval for the difference in proportions is
<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>
No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.
This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.
So,
Mark wants $100 for 10 hrs., or $10/hr.
Rick wants $80 for 9 hrs., or
$8.89/hr.
Steve wants $75 for 8 hrs., or $
/hr. or $9.38/hr.
Finally, Andy wants $60 for 5 hrs., or $12/hr.
We can see that <u>Rick</u> offers the best deal, at $8.89/hr.
Mark wants $100 for 10 hrs., or $10/hr.
Rick wants $80 for 9 hrs., or
Steve wants $75 for 8 hrs., or $
Finally, Andy wants $60 for 5 hrs., or $12/hr.
We can see that <u>Rick</u> offers the best deal, at $8.89/hr.