After she worked out the problem, she had a discrepancy (disagreement) of
about 45% between her estimate and the quotient.
That's a lot ! There's almost definitely a major mistake somewhere, and
there really isn't any way to tell whether the mistake is in the estimate or
in the quotient.
My answer to the question is that Lilly has to go all the way back to the
beginning, and do the whole thing again. Only this time, she has a harder
job to do: She not only has to make another estimate and work out the
division problem again. This time, she also has to find the mistake that
she made the first time ... and there may be more than one of them.
The answer is 3:15 because 3 is equal to 6 and 15 is equal to 45.
Considering the vertex of the parabola, the correct statement is given by:
The range of the function is all real numbers less than or equal to 9.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to
.
- If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to
.
In this problem, we have that:
- a = -1 < 0, hence the vertex is a maximum point.
Hence the range is described by:
The range of the function is all real numbers less than or equal to 9.
More can be learned about the vertex of a parabola at brainly.com/question/24737967
#SPJ1
Answer:
75
Step-by-step explanation:
the angles are vertical (I think that's the right term) so they are the same
Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6,
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x,
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x :
: 2x = 6 :
: 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to
(
in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!