Answer:
y = 2
x = 50
Step-by-step explanation:
We can first find y by doing 12y+5 = 18y-7 since vertical angles are always congruent.
We want to combine like terms so we subtract 12y from both sides (what you do on one side needs to be done to the other) and we get 5 = 6y-7 and now we add 7 to both sides to get 12 = 6y.
Like I said we did this because we combine like terms!!!
Now we want to isolate the y and we do this by dividing 6 from both sides which lets us get 2 = y
Now that we know what y is we can plug it into any of the equations using y.
I plugged it into the top right equation cause it was easier.
12(2)+5
24+5
29!
That angle is 29!
Now that we know that we can begin solving for x.
The equation that has x + 29 make 180 degrees because it is a straight line so we use this to solve for x!
3x+1+29=180 (We want to start combining like terms now)
3x+30=180(Subtract 30 from both sides)
3x=150 (Isolate the x by dividing 3 from both sides)
x=50!
We can prove this is right by inserting x into it's expression. That tells us the angle is 151. Now we add 151+151+29+29 and we get 360!
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
Answer:
C. The lines are perpendicular
Step-by-step explanation:
GO GET GOOD GrADE
AA , BB , and CC are parallel to MN.
Answer:
a=-20
Step-by-step explanation:
-4(7a+5)=-160
7a+(-20)=-160 Multiply -4 and 5
7a=-140 Subtract -20 from -160
a=-20 Divide 7 by -140
