Answer:
b. not similar
Step-by-step explanation:
The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.
____
* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.
However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.
Answer:
Choice B: 
.
Step-by-step explanation:
For a parabola with vertex 
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is 
, such that 
and 
. There would exist a constant 
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point 
, 
and 
would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
1. I would call quadrants i, ii, iii, iv as a, b, c, d
<span>2.Which type of variables are usually on the y-axis and represent output?
</span>they usually are the dependent variables, that is, they depend on the x value, such as velocity, price, income.
3.Which type of variables are usually on the x-axis and represent input?
those are the independent variables such as time, distance, price.
<span>4.Which type of slope is represented on a graph as a horizontal line? </span>
the slope of an horizontal line is zero.
<span>5.Find the slope of 2x + 4y = 12
</span>the general form of the line is:
4y = - 2x + 12
y = -(1/2)x + 3
hence the slope is -1/2
Answer:B,C,A,C.
Step-by-step explanation:
