Answer:
QT = 45
Step-by-step explanation:
ST = 65
SP = 26
RQ = 30
QT = 4x - 3
Given that ∆STR is similar to ∆PTQ, therefore:

Plug in the values

Solve for x


Cross multiply


Collect like terms


Divide both sides by 8


✅QT = 4x - 3
Plug in the value of x
QT = 4(12) - 3 = 48 - 3
QT = 45
Answer:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Step-by-step explanation:
This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.
Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.
Then we can conclude that for this piecewise function:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)