How can you solve it if you don't know the equations? :P Just kidding...
n+d=22, so we can say that d=22-n
5n+10d=120, and using d found above in this equation gives you:
5n+10(22-n)=120
5n+220-10n=120
-5n=-100
n=20, and since d=22-n, d=2
So there are two dimes and twenty nickels...
check...
20(5)+2(10)=100+20=120 cents which is $1.20
n+d=22, 20+2=22, 22=22
Answer:
2 & 3
Step-by-step explanation:
Pythagorean Theorem is .
If the values given in each option satisfy the theorem, the sides will make a right triangle.
<h3>For Option One:</h3>
The sides would not make a right triangle.
<h3>For Option Two:</h3>
The sides would make a right triangle.
<h3>For Option Three:</h3>
The sides would make a right triangle.
<h3>For Option Four:</h3>
The sides would not make a right triangle.
The correct answer should be options two and three.
When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at
The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is
For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is
Using this information, the vertex-form equation of the parabola is so the factors are two copies of In this case, the value of in the equation was conveniently 1; if that's not the case, you'll want to plug in to solve for the value of a that gives the correct y-intercept.
Does that help clear things up?
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A.
Part 3) Option B.
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and
Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that
so
substitute
Part 3) Find the measure of angle 5
we know that
Solve for x
substitute the value of x