Answer:
m<HGF = 45
Step-by-step explanation:
This picture shows an inscribed angle. It is made of 2 chords that connect on the vertex.
An inscribed angle is equal to half the arc. It is the arc that the angle makes. In this case it is the arc HF. So, to find the answer you would divide the length of arc HF by 2.
90/2=45
Answer:
Step-by-step explanation:
x is the number of students
(x+5) is the number of students and chaperons
$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have
2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)
The inequality "90 greater-than 2.50 (x + 5) "
90 > 2.50(x+5) is an error becase it excludes the possibility that <u>the trip can cost exact $90</u> so we need not just greater than > , yet greater and equal than ≥ sign
90 ≥ 2.50(x+5)
Answer:
- The effect of the negative sign is that it reflects the graph of the function over the x-axis.
- That means that the graph that represents such function is a parabola that opens downward, being its vertex the maximum of the graph.
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
- A > 0 the parabola opens upward and the vertex is a minimum,
- A < 0 the parabola opens downward and the vertex is a maximum.
- A cannot be equal to zero.
- | A | > 0 the parabola is stretched vertically.
- | A | < 0 the parabola is compressed vertically.
- The vertex of the function is the point (h, k).
So, for the given function you have:
- A = - 1/2, so the parabola opens downward and the vertex is the maximum.
- Also, since |A| < 1 means that the parabola is compressed vertically.
- The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.
Answer:
I would say that the flag pole is about 120 feet long. Recall that this is an estimation.
Step-by-step explanation: