Answer:
d
Step-by-step explanation:
7x + 2 and 10x - 9 are same- side interior angles and sum to 180° , that is
7x + 2 + 10x - 9 = 180
17x - 7 = 180 ( add 7 to both sides )
17x = 187 ( divide both sides by 17 )
x = 11 → d
Answer:
Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)
Part 2)
Part 3) 
Step-by-step explanation:
we have
In the triangle ABC

Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
we have

substitute the given values


Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than
(this is called rounding down)
c) But increase it by
if the next digit is
or more (this is called rounding up)
In this problem we have
We want to keep the digit
The next digit is
which is 5 or more, so increase the "5" by 1 to "6"
therefore

Answer:
18
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
12, 43/63
Step-by-step explanation:
Answer:
Vertical A @ x=3 and x=1
Horizontal A nowhere since degree on top is higher than degree on bottom
Slant A @ y=x-1
Step-by-step explanation:
I'm going to look for vertical first:
I'm going to factor the bottom first: (x-3)(x-1)
So we have possible vertical asymptotes at x=3 and at x=1
To check I'm going to see if (x-3) is a factor of the top by plugging in 3 and seeing if I receive 0 (If I receive 0 then x=3 gives me a hole)
3^3-5(3)^2+4(3)-25=-31 so it isn't a factor of the top so you have a vertical asymptote at x=3
Let's check x=1
1^3-5(1)^2+4(1)-25=-25 so we have a vertical asymptote at x=1 also
There is no horizontal asymptote because degree of top is bigger than degree of bottom
There is a slant asympote because the degree of top is one more than degree of bottom (We can find this by doing long division)
x -1
--------------------------------------------------
x^2-4x+3 | x^3-5x^2+4x-25
- ( x^3-4x^2+3x)
--------------------------------
-x^2 +x -25
- (-x^2+4x-3)
---------------------
-3x-22
So the slant asymptote is to x-1