X = smallest angle, y = middle angle, z = largest angle
x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x
1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle
z = 2y
z = 2(54)
z = 108 <=== largest angle
1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle
Answer:
The domain of the function is
Step-by-step explanation:
Consider the provided rational function.
We need to determine the domain of the rational function.
Domain of a rational function is all real numbers except those for which the denominator is 0.
The denominator of the rational function is
From the above definition we know that:
That means for x=-3 the denominator is 0. Therefore, the domain of the function is all real number except -3.
Thus, the domain of the function is
Answer: 3/4 of the original price.
Step-by-step explanation:
Ok, so Sam buys 4 boxes in Store A.
We know that in Store A you can get 4 boxes paying only for 3.
If P is the price of a Box, then he got 4 boxes and paid 3*P
then the amount that he paid for each box is equal to the total amount that he paid divided the number of boxes that he received.
this is: 3P/4 = (3/4)*P
Meaning that he paid 3/4 of the original price for each box.
Since Amanda originally paid $35 and the sales tax is 7%, we have to multiply 35*.07 which equals 2.45. You now have to add the factor to $35 and you get $37.45.
The price of the stereo is $37.45.
Answer:
choice 2) x+2y+3 = 7
Step-by-step explanation:
equation to match:
x+2y = 4
add 3 to each side
x+2y+3 = 7 (which is the same as choice 2, x+2y+3 = 7)