Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Answer:
t/8 + t/7 = 1
Step-by-step explanation:
Given in the question that,
time require for Jose to paint the house = 7 hours
time require for Brandon to paint the house = 8 hours
Suppose t means Full house painted.
<h3>
To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>
7 hours----t
1 hour ---- t/7
8 hours----t
1 hour ---- t/8
<h3>
Equation</h3>
t/8 + t/7 = 1 (in one hour)
(7t + 8t)/8(7) = 1
15t/56 = 1
15t = 56
t = 56/15
t = 3.73 hours
The x-intercepts are the values of x for which f(x) = 0.
x^2 + 4 = 0
x^2 = -4
x= ±√(-4), which are not real numbers. f(x) does not have an x-intercept.
Answer: f(2) = -4
Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).
In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?
Well if we put a 2 into the function,
that's f(2) and we get -3(2) + 2 out.
Now all we have to do is simplify on the right side.
-3(2) is -6 so we have -6 + 2 which is -4.
So f(2) is -4.
Answer:
the time means how long it takes to get to that distance below it
Step-by-step explanation:
