Step-by-step explanation:
Hey there!
By looking through figure, l and m are parallel lines and a transversal line passes through the lines.
Now,
7x + 12° = 12x - 28°( alternate angles are equal)
12°+28° = 12x - 7x
40° = 5x
![x = \frac{40}{5}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B40%7D%7B5%7D%20)
Therefore, x = 8°
Now,
12x - 28° + 9y - 77 = 180° ( being linear pair)
12×8° - 28° + 9y -77° = 180°
96° - 28° + 9y - 77° = 180°
-9 + 9y = 180°
9y = 180° + 9°
y = 189°/9
Therefore, y = 21°
<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>8</u><u>°</u><u> </u><u>and</u><u> </u><u>y</u><u>=</u><u> </u><u>2</u><u>1</u><u>°</u><u> </u><u>.</u>
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
This kinda doesn’t make sense but maybe 80, 80, 20
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
Answer:
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Given
Age 11 Age 12 Total
Girls 3 5 8
Boys 1 3 4
Required
![P(Age\ 12)](https://tex.z-dn.net/?f=P%28Age%5C%2012%29)
The number of aged 12 children is:
![Age\ 12 = 5 + 3](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%205%20%2B%203)
![Age\ 12 = 8](https://tex.z-dn.net/?f=Age%5C%2012%20%3D%208)
The total number of children is:
![Total=8+4](https://tex.z-dn.net/?f=Total%3D8%2B4)
So, we have:
![P(Age\ 12) = \frac{Age\ 12}{Total}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7BAge%5C%2012%7D%7BTotal%7D)
![P(Age\ 12) = \frac{8}{12}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B8%7D%7B12%7D)
Simplify
![P(Age\ 12) = \frac{2}{3}](https://tex.z-dn.net/?f=P%28Age%5C%2012%29%20%3D%20%5Cfrac%7B2%7D%7B3%7D)