Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion
![\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143](https://tex.z-dn.net/?f=%5Cfrac%7BA%27B%7D%7BAB%7D%20%3D%5Cfrac%7BA%27C%27%7D%7BAC%7D%20%5C%5C%5Cfrac%7B30%7D%7Bx%2B30%7D%20%3D%5Cfrac%7B14%7D%7B22%7D%20%5C%5C14%28x%2B30%29%20%3D%2030%2A22%5C%5C14x%20%2B%20420%20%3D%20660%5C%5C14x%20%3D%20240%5C%5Cx%20%3D%2017.143)
⇒ let's set up a proportion
![\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25](https://tex.z-dn.net/?f=%5Cfrac%7BBC%27%7D%7BBC%7D%20%3D%5Cfrac%7BA%27C%27%7D%7BAC%7D%20%5C%5C%5Cfrac%7By%7D%7By%2B15%7D%20%3D%5Cfrac%7B14%7D%7B22%7D%20%5C%5C22y%3D14%28y%2B15%29%5C%5C22y%3D14y%2B210%5C%5C8y%3D210%5C%5Cy%3D26.25)
<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
Answer:
y=-4x-5
Step-by-step explanation:
The slope of the line is - 4, the equation of line is y=-4x-5
Answer:
the answer is D. WX
Step-by-step explanation:
just look at the figure