Answer:
x = 96
y = 66
Step-by-step explanation:
The sum of interior angles of the given shape is 360:
x + y + 123 + 75 = 360
x + y + 198 = 360 subtract 198 from both sides
x + y = 162
The angle with the measure 114 and angle y are supplementary so their sum is 180
y + 114 = 180
y = 66 since x + y = 162 we can use this to find the value of x
x = 162 - 66
x = 96
159 times in 3 seconds = 159/3 = 53 times per second <==
Answer:
y=1
Step-by-step explanation:
the "mx" part of the equation is the slope, since we need the slope to be zero, there won't be anything in the "mx" part. The "+b" bart of the equation is the y-intercept, since we need the y-intercept to be one, the "+b" part will be 1.
Answer:
![x=\sqrt[3]{10}-2](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B10%7D-2)
Step-by-step explanation:
The composite function (f(x+1)) is moved in the x-axis by -1, you know this by solving x+1=0.
The equivalent expresion for f(x+1) is
Eval the above expression in g(x)
We must find x that gives g(x)=12
The equation is the following
Grouping terms>
To solve for x, must apply cubic root in both sides of equation:
![\sqrt[3]{(x+2)^{3} } =\sqrt[3]{10}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x%2B2%29%5E%7B3%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B10%7D)
it then turns in the following>
![x+2=\sqrt[3]{10}\\](https://tex.z-dn.net/?f=x%2B2%3D%5Csqrt%5B3%5D%7B10%7D%5C%5C)
Giving the stated answer
