What do you want the answer to? these are just equations and you never said what you want us to do with it
Answer:
QT = 45
Step-by-step explanation:
ST = 65
SP = 26
RQ = 30
QT = 4x - 3
Given that ∆STR is similar to ∆PTQ, therefore:
![\frac{ST}{PT} = \frac{RT}{QT}](https://tex.z-dn.net/?f=%20%5Cfrac%7BST%7D%7BPT%7D%20%3D%20%5Cfrac%7BRT%7D%7BQT%7D%20)
Plug in the values
![\frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B65%7D%7B65%20-%2026%7D%20%3D%20%5Cfrac%7B30%20%2B%20%284x%20-%203%29%7D%7B4x%20-%203%7D%20)
Solve for x
![\frac{65}{39} = \frac{30 + 4x - 3)}{4x - 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B65%7D%7B39%7D%20%3D%20%5Cfrac%7B30%20%2B%204x%20-%203%29%7D%7B4x%20-%203%7D%20)
![\frac{5}{3} = \frac{27 + 4x}{4x - 3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20%3D%20%5Cfrac%7B27%20%2B%204x%7D%7B4x%20-%203%7D%20)
Cross multiply
![5(4x - 3) = 3(27 + 4x)](https://tex.z-dn.net/?f=%205%284x%20-%203%29%20%3D%203%2827%20%2B%204x%29%20)
![20x - 15 = 81 + 12x](https://tex.z-dn.net/?f=%2020x%20-%2015%20%3D%2081%20%2B%2012x%20)
Collect like terms
![20x - 12x = 81 + 15](https://tex.z-dn.net/?f=%2020x%20-%2012x%20%3D%2081%20%2B%2015%20)
![8x = 96](https://tex.z-dn.net/?f=%208x%20%3D%2096%20)
Divide both sides by 8
![x = \frac{96}{8}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B96%7D%7B8%7D%20)
![x = 12](https://tex.z-dn.net/?f=%20x%20%3D%2012%20)
✅QT = 4x - 3
Plug in the value of x
QT = 4(12) - 3 = 48 - 3
QT = 45
Answer:
Part 1 - B
Part 2 - He did not multiply 2 and -4n. Instead he just subtracted them (3n -4n) that gave him -1n.
Hello there, and thank you for posting your question here on brainly.
To find this, you have to find the greatest common factor. (GCF)
GCF = 3
<span>Factor out the GCF: Write the GCF first. Then, in parentheses, divide each term by the GCF.
</span>
3 (15t/3 + 6/3)
Simplify.
-3(5t + 2)
Hope this helped! ☺♥
9514 1404 393
Answer:
∠Y = 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠S + ∠Y = 90°
(5∠Y -240°) +∠Y = 90°
6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms
∠Y = 55° . . . . . . . . . divide by 6