Answer: a
Step-by-step explanation: i took the test
Answer:
x= 10, y= 15
Step-by-step explanation:
because alternate interior angles are congruent
8x -10 = 7x
8x -7x = 10
x = 10
because straighht line form 180°
6y+20 +7x = 180
6y +20 +70 = 180
6y = 180 -90
y=90/6 = 30/2 = 15
we can say that there are 15 male teachers for every 35 female teacher
![\stackrel{\textit{\large ratio 1}}{\cfrac{15}{35}\qquad \cfrac{male}{female}} ~\hspace{10em} \stackrel{\textit{\large ratio 2}}{\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{7}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{3}{7}\qquad \cfrac{male}{female}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%201%7D%7D%7B%5Ccfrac%7B15%7D%7B35%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D%20~%5Chspace%7B10em%7D%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%202%7D%7D%7B%5Ccfrac%7B%5Cstackrel%7B3%7D%7B~~%5Cbegin%7Bmatrix%7D%2015%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B%5Cunderset%7B7%7D%7B~~%5Cbegin%7Bmatrix%7D%2035%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B7%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D)
B) If we subtract females who prefer dogs from the total that prefer dogs we will know how many males prefer dogs.
290-180=110
So 110 males prefer dogs.
c) 180 females prefer dogs and 12 prefer fish, so 180+12=192 females do not prefer cats.
