![y = mx+b\\\\[m is the slope, b is the y-intercept]\\\\y=\frac{2}{3}x+5\\](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb%5C%5C%5C%5C%5Bm%20is%20the%20slope%2C%20b%20is%20the%20y-intercept%5D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7Dx%2B5%5C%5C)
That means 2/3 is the slope and 5 is the y-intercept.
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The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
<h3>How to solve the length?</h3>
Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
Answer:
<B = 3(14) + 6 = 48 degrees
Step-by-step explanation:
4x+6+3x+6+5x = 180 degrees
12x + 12 = 180
12x = 180 - 12
x = 168/12
x = 14
The answer is 101
44+35=79
180-79= 101
Step-by-step explanation:
well, it is a combination of 2 shapes.
I, personally, would have split it into the small 2x2 square (in the top right corner) and then into the 6x(7-2) rectangle.
that would be
2x2 + 6x5 = 4 + 30 = 34 cm²
but you started a valid approach too.
you "sliced" off a narrow rectangle along the whole right side. 7x2.
and that leaves now a 4x(7-2) rectangle.
so,
7x2 + 4x5 = 14 + 20 = 34 cm²
yes, this was my answer.
how did this suddenly appear as your answer ?
