Let's make variables for two angles first. One angle will be x, and the other will be y.
Since they're supplementary, we know x + y = 180
We also know x = y - 32, since it's 32 degrees less than it's supplement.
Input the value of x into the first equation and...
y - 32 + y = 180
2y - 32 = 180
Add 32 to both sides:
2y = 212
Divide both sides by 2:
y = 106
We can solve for x in two ways.
One, we can subtract 32 from 106 since x is 32 degrees less.
Or, we could also just subtract 106 from 180 since we know the angles are supplementary.
x = 74
74 degrees and 106 degrees. The equation is y - 32 + y = 180, or x + y = 180
Answer: (2/5) x (3/2) x .5 = 3/10 or .3
Step-by-step explanation: Area of a triangle is (1/2)bh . You substitute your answers and simplify.
First, isolate x in x-4y=11 because 1 is x's coefficient.
x-4y=11
x=11+4y
Now, substitute 4y+11 for x in 5x-7y=-10.
5x-7y=-10
5(4y+11)-7y=-10
20y+55-7y=-10
Add all coefficients.
13y+55=-10
Isolate y by subtracting 55 from both sides.
13y+55=-10
13y=-10-55
13y=-65
y=-5
Now substitute -5 for y in your first equation.
x=11+4y
x=11+4(-5)
x=11-20
x=-9
Your answer would be (-9,-5).
Any questions you may have, please contact me or comment.
Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since 
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
