What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
Answer:
-8b + 9 - 5k
Step-by-step explanation:
I am assuming the blue highlighted portion is your answer, and is not a part of the initial question
(-4b + 15 - 7k) - (6 + 4b - 2k)
Combine like terms
-4b - + 4b
Negative + Positive = Negative
-4b - 4b = -8b
15 - 6 = 9
-7k - - 2k
Negative + Negative = Positive
-7k + 2k = -5k
Put them all together:
0b + 9 - 5k
Simplify
-8b + 9 - 5k
I got the same answer as you (just in a different order)
Answer:
see attached
Step-by-step explanation:
To find the inverse function, solve ...
x = f(y)
x = (y^7)/7 -4 . . . . . . . use the definition of f(x)
x +4 = (y^7)/7 . . . . . . add 4
7(x +4) = y^7 . . . . . . multiply by 7
(7(x +4))^(1/7) = y . . take the 7th root
The inverse function is the one shown in the attachment.
The triangle must be isosceles, due to the perpendicular bisector. Therefore, the expression 20 - 15 can be used to yield an answer of B. 5.
Hope this helps!
