Step-by-step explanation:
are vertically opposite angles.
![\therefore \: \angle PTS\: = \: \angle QTR \\ \\ \therefore \: [11(y - 10)] \degree = (4y - 5)\degree \\ \\ \therefore \:11y - 110 = 4y - 5 \\ \\ \therefore \:11y - 4y = 110 - 5\\ \\ \therefore \:7y = 105 \\ \\ \therefore \:y = \frac{105}{5} \\ \\ \huge \red{ \boxed{\therefore \:y = 15}} \\ \\ \therefore \: m\angle PTS\: =[11(y - 10)] \degree \\ = [11(15- 10)] \degree \\ = [11 \times 5] \degree \\ \huge \orange{ \boxed{\therefore \: m\angle PTS\: = 55 \degree}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20PTS%5C%3A%20%20%3D%20%5C%3A%20%5Cangle%20QTR%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%3D%20%284y%20-%205%29%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A11y%20-%20110%20%3D%204y%20-%205%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A11y%20-%204y%20%3D%20110%20-%205%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A7y%20%3D%20105%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B105%7D%7B5%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%2015%7D%7D%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%20%3D%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%20%20%5C%5C%20%20%3D%20%5B11%2815-%2010%29%5D%20%20%5Cdegree%20%5C%5C%20%20%3D%20%5B11%20%5Ctimes%205%5D%20%20%5Cdegree%20%5C%5C%20%20%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%3D%2055%20%5Cdegree%7D%7D)
Answer:
38:81
Step-by-step explanation:
There are a total of 81 Astronauts in the space program.
Out of these, 43 are in outer space.
We are to determine the ratio of the number of astronauts on Earth to the total number of astronauts.
Number of Astronauts on Earth = Total Number - Number in Outer Space
=81-43 = 38
Therefore:
Number of astronauts on Earth : The total number of astronauts. = 38:81
4/6 6/9 40/60 the first one is mulitied by two third one is multiplied by three and the fourth one is multiplied by 20
Step-by-step explanation:
r - 18 = 27
r = 27 + 18
r = 45
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