To find the length of the yellow segment, we have to use Pythagorean's Theorem. But first, we have to find the length of the black line at the bottom.
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Where a = 4ft and b = 9ft.
![\begin{gathered} c^2=4^2+9^2 \\ c^2=15+81 \\ c=\sqrt[]{96} \\ c\approx9.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D15%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B96%7D%20%5C%5C%20c%5Capprox9.8%20%5Cend%7Bgathered%7D)
So, the length of the black segment is 9.8 feet.
Now, we find the yellow line length
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Where a = 4 and b = 6.
![\begin{gathered} c^2=4^2+6^2 \\ c^2=16+36 \\ c^2=52 \\ c=\sqrt[]{52} \\ c\approx7.2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D4%5E2%2B6%5E2%20%5C%5C%20c%5E2%3D16%2B36%20%5C%5C%20c%5E2%3D52%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B52%7D%20%5C%5C%20c%5Capprox7.2%20%5Cend%7Bgathered%7D)
<h2>Therefore, the length of the yellow line is 7.2 feet.</h2>
In the diagram, P1P2 and Q1Q2 are the perpendicular bisectors of AB and BC, respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively <span>the center of the circumscribed circle of ΔABC is P </span><span>because both perpendicular bisectors go through the center
where they cross must be the center.</span><span>
</span>
4b - 24 + 19 = 4b - (-24 + 19) = 4b - 5
Answer:
4
Step-by-step explanation:
<em>To start off, we are going to input our x value into our expression.</em>
3|-5| + 2(-5) - 1
<em>Next, we are going to find the absolute value (always positive) of -5 and multiply 2 and -5.</em>
3(5) - 10 -1
<em>Now, we will multiply 3 and 5.</em>
15 - 10 -1
<em>Finally, we are going to combine our like terms (15, -10, and -1)</em>
4
<em>So! Our final answer for this expression is </em><u><em>4</em></u><em>!</em>
Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>
-SGO