Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C. The length of M N is 9 feet. The len
2 answers:
Answer:
The length of AC is 18 feet ⇒ 4th answer
Step-by-step explanation:
* Lets revise an important theorem for a triangle
- <em>If a line segment joining the mid-points of two sides of a triangle, </em>
<em> then this line segment is parallel to the third side of the triangle and</em>
<em> equal half its length</em>
<em></em>
* Lets use this theorem to solve the problem
- In Δ ABC
∵ Line MN intersects the sides AB at M
∵ MA = MB
∴ M is the mid point of the side AB
∵ Line MN intersects the sides BC at N
∵ NC = NB
∴ N is the mid point of the side BC
- <em>By using the theorem above</em>
In Δ ABC
∵ M is the mid-point of AB
∵ N is the mid-point of BC
∴ MN // AC
∴ MN = AC
∵ The length of MN = 9 feet
∵ MN = AC
∴ 9 = AC
- Multiply both sides by 2
∴ AC = 18 feet
* The length of AC is 18 feet
You might be interested in
Answer: 0.3439
Step-by-step explanation:
Given :The last four digits for telephone numbers are randomly selected (with replacement).
Here , each position can be occupied with any of the digit independently .
Total digits = 10
Total digits other than 0 = 9
For each digits , the probability that it is not 0 =
If we select 4 digits , The probability of getting no 0 =
(By multiplication rule of independent events)
Now , the probability that for one such phone number, the last four digits include at least one 0. = 1- P(none of them is 0)
=1- 0.6561=0.3439
Hence, the probability that for one such phone number, the last four digits include at least one 0. is 0.3439 .
Answer:
Step-by-step explanation:
This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:
and
123tan(26) = h so
h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is
60.0 + 5.3 = 65.3 feet.