Hat means y + z = 180.

y is thrice than z means y = 3 * z. 

replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. 

combine like terms to get 4 * z = 180. 

solve for z to get z = 180 / 4 = 45 degrees. 

since y = 3 * z, then y = 3 * 45 = 135 degrees. 

y = 135
z = 45 

y + z = 180 becomes 135 + 45 = 180
y = 3 * z = 135 = 3 *45 

solution is confirmed to be good.

3 0

3 years ago

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Can someone answers this question please master it correctly if it’s corect I will mark you brainliest

GarryVolchara [31]

Answer:

4 bowlers

Step-by-step explanation:

There are 18 different hats, 6 are bowlers

Find the unit rate: 6/18 or 1/3

1 bowler out of 3 hats

4 bowlers out of 12 hats

<h3>Hope this helps!!!</h3>

4 0

3 years ago

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Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of

vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

$If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}$

$Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3$

$y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4$

5 0

2 years ago