The similarity relationship is AC / EC = AB / ED.
The length of AB is 157.50m.
<h3>What is the length of AB?</h3>
When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.
The similarity relationship is : AC / EC = AB / ED
AC = 160 + 50 = 210
210 / 160 = AB / 120
AB = (210 X 120) / 160 = 157.50
To learn more about similar triangles, please check: brainly.com/question/10658464
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Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° =
=
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l =
≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
Answer:
(3,-1)
Step-by-step explanation:
So we have the system of equations:

As directed, add straight down. The y-variable will cancel:

Now, divide both sides by 5. The left cancels:

So x is 3.
Now, substitute 3 for x in either of the equations:

Substitute 3 for x:

Multiply:

Subtract 9 from both sides:

So, our answer is: x=3, y=-1 or (3,-1).
And we are done :)
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.
<span>data: 2, 5, 9, 11, 17, 19
</span>
median is the middle number
median = (9+11)/2 = 10
mean = average
mean = (2 + 5 + 9 + 11+ 17 + 19)/6
mean = 63/6
mean = 10.5