Shift of 6 units right, reflects over x-axis
Answer:
So each interior angle measurement of the regular triangle is 60 degrees.
Step-by-step explanation:
If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.
If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.
If need more convincing, let's actually solve:
x+x+x=180
3x=180
x=180/3
x=60
So each interior angle measurement of the regular triangle is 60 degrees.
y = sqrt(x) .... parent function
y = sqrt(x+2) .... replace x with x+2 to shift 2 units to the left
y = sqrt(x+2)+3 ... add on 3 to move 3 units up
y = sqrt(-x+2)+3 ... replace x with -x to reflect over y axis
<h3>Answer: y = sqrt(-x+2)+3</h3>
Answer:
116.33
Step-by-step explanation:
Answer:
9 Quarters
8 Dimes
3 Nickels
Step-by-step explanation:
We let the number of quarters be q
number of dimes be d
and
number of nickels be n
Since quarters are worth 0.25, dimes are worth 0.10 and nickels are worth 0.05 and total worth is 3.20, we can write an equation as:
0.25q + 0.10d + 0.05n = 3.20
Next,
3 times as many quarters as Nickels, we can write:
q = 3n
and
5 more dimes than nickel, we can write:
d = n + 5
Substituting these last 2 equations in the first and solving for n gives us:
0.25q + 0.10d + 0.05n = 3.20
0.25(3n) + 0.10(n+5) + 0.05n = 3.20
0.75n + 0.10n +0.5 + 0.05n = 3.20
0.9n = 2.70
n = 2.70/0.9 = 3
n = 3
We know q = 3n, so
q = 3(3) = 9
Also, we know d = n + 5, which means:
d = 3 + 5 = 8
Thus,
There are:
9 Quarters
8 Dimes
3 Nickels
