Answer:
![\large\boxed{\dfrac{60}{5}=\dfrac{x}{12}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B60%7D%7B5%7D%3D%5Cdfrac%7Bx%7D%7B12%7D%7D)
Step-by-step explanation:
If ΔABC and ΔDEF are similar, then the sides are in proportion:
![\dfrac{60}{5}=\dfrac{x}{12}\\or\\\dfrac{60}{x}=\dfrac{5}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B60%7D%7B5%7D%3D%5Cdfrac%7Bx%7D%7B12%7D%5C%5Cor%5C%5C%5Cdfrac%7B60%7D%7Bx%7D%3D%5Cdfrac%7B5%7D%7B12%7D)
The function for x=3 is 1
Answer:
52°
Step-by-step explanation:
Angle AOB is the a.pex angle of the isosceles triangle AOB.* Then angles at A and B are congruent and each is the complement of half the angle at O:
∠OAB = 90° -(1/2)(76°) = 90° -38°
∠OAB = 52°
_____
* You know ΔAOB is isosceles because OA and OB are both radii of the circle, hence the same length.
Answer:
4 1/9
Step-by-step explanation:
Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9
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)