Answer:
No, these triangles are not similar.
Step-by-step explanation:
Similar triangles have the same angle measures.
Knowing that the angles in a triangle add up to 180 degrees, find the missing angle, and you will see that the angles in the triangle are not congruent to each other, meaning that the triangles are not similar.
1. So first of all we have to divide the 3 fractions into decimals to get a decimal to compare. So 5/6 is the same as 5 divided by 6 which is .83 bar and so on...
5/6= .83 bar
1/4= .25
2/3= .66 bar
So 5/6 and 2/3 are closer to one.
2. The two shortest pieces are 2/3 and 1/4 so you se 1/4 + 2/3. Let’s get a common denominator for these fractions. The common denominator is 12. So multiply 1/4 • 3 to get 3/12 and multiply 2/3 by • 4 to get 8/12. Add them together and you get 11/12. So he would need 1/12 more cable or 0.083 bar.
3. Now we have to find a common denominator for all of them. The common denominator is 12 again. Multiply 5/6•2 and then you get 10/12, then add 10/12 +2/12(from 1/4) and then you get leftover with 9/12 or 3/4 more wire.
The slope is the coefficient of x, which is 10, and the y-intercept is the constant, which is 5.
