Answer:
The lines will cross at (5,3)
Step-by-step explanation:
The distance from E to side AD is 25/13.
<h3>
What is a distance?</h3>
- The length of the line connecting two places is the distance between them.
- If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.
To find what is the distance from E to side AD:
- If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
- Let's call F the point where E meets side AD, so the problem is to find the length of EF.
- By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
- Since they're similar, the ratios of their side lengths are the same.
- EF/EA = EA/AB (they're corresponding side lengths of similar triangles).
Substitute them with known lengths:
- EF/5 = 5/13
- EF = 5 × (5/13) = 25/13
Therefore, the distance from E to side AD is 25/13.
Know more about distance here:
brainly.com/question/2854969
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The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.
-8 the point on the line with Y=4
<h3>
Answer: UF = 11</h3>
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Explanation:
In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU
So EU/VU is one ratio
The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW
Set the ratios equal to each other and solve for x
EU/VU = UF/UW
7/35 = x/55
7*55 = 35*x ... cross multiply
385 = 35x
35x = 385
x = 385/35 .... divide both sides by 35
x = 11
UF = 11
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Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7
That must mean WU = 55 must also be 5 times larger compared to UF = x
So,
WU = 5*UF
55 = 5x
5x = 55
x = 55/5
x = 11
UF = 11
This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.
