Answer:
P’ = (4, 5)
Q’ = (5, 3)
R’ = (1, 1)
Step-by-step explanation:
Answer: He is correct
Step-by-step explanation:
3/4 x 1/2 = 3/8
3 x 1 = 3
4 x 2 = 8
3/8
Step-by-step explanation:
![y = 2x - 7...(1) \\ y = 5x + 4...(2) \\ from \: equations \: (1) \: and \: (2) \\ 5x + 4 = 2x - 7 \\ \therefore \: 5x - 2x = - 7 - 4 \\ \therefore \: 3x = - 11\\ \huge \red{ \boxed{\therefore \: x = - \frac{11}{3} }}\\ substitutig \: x = - \frac{11}{3} in \: equation \: (1) \\ y = 2 \times (- \frac{11}{3}) - 7 \\ \\ \therefore \: y = - \frac{22}{3} - 7 \\ \\ \therefore \: y = \frac{ - 22 - 21}{3} \\ \\ \huge \orange{ \boxed{\therefore \: y = - \frac{ 43}{3}}}\\\\(x, \:y) = \{- \frac{11}{3}, - \frac{ 43}{3}\} \:](https://tex.z-dn.net/?f=y%20%3D%202x%20-%207...%281%29%20%5C%5C%20y%20%3D%205x%20%2B%204...%282%29%20%5C%5C%20from%20%5C%3A%20equations%20%5C%3A%20%281%29%20%5C%3A%20and%20%5C%3A%20%282%29%20%5C%5C%205x%20%2B%204%20%3D%202x%20-%207%20%5C%5C%20%20%20%5Ctherefore%20%5C%3A%205x%20-%202x%20%3D%20%20-%207%20-%204%20%5C%5C%20%20%5Ctherefore%20%5C%3A%203x%20%3D%20%20-%2011%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20x%20%3D%20%20-%20%20%20%5Cfrac%7B11%7D%7B3%7D%20%7D%7D%5C%5C%20%20substitutig%20%5C%3A%20x%20%3D%20%20-%20%20%20%5Cfrac%7B11%7D%7B3%7D%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20y%20%3D%202%20%5Ctimes%20%28-%20%20%20%5Cfrac%7B11%7D%7B3%7D%29%20-%207%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20y%20%3D%20%20-%20%20%5Cfrac%7B22%7D%7B3%7D%20%20-%207%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20y%20%3D%20%20%20%5Cfrac%7B%20-%2022%20-%2021%7D%7B3%7D%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20y%20%3D%20%20%20-%20%5Cfrac%7B%2043%7D%7B3%7D%7D%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%28x%2C%20%5C%3Ay%29%20%3D%20%5C%7B-%20%20%20%5Cfrac%7B11%7D%7B3%7D%2C%20-%20%5Cfrac%7B%2043%7D%7B3%7D%5C%7D%20%5C%3A%20)
Answer:
Step-by-step explanation:
Segment addition property:
Substitute the values and solve for XZ:
- 27 + XZ = 38
- XZ = 38 - 27
- XZ = 11