Answer:
3/4 x 3 (top right)
Step-by-step explanation:
one you selected is incorrect
Quickly using a calculator (or long division) reveals that 191/238=<span>0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3</span>
Answer:
x = 9
<1 and <2 are verticales angles = 79 degrees
Step-by-step explanation:
<1 = <4 vertical angles
6x+25 = 10x - 11
25+11 = 10x - 6x
36 = 4x
36/4 = x
x = 9
<1 = 6(9)+25
<1 = 54 + 25
<1 = 79 degrees
Answer:
Given: ABCD is a parallelogram,
In which E ∈ BC and F lies on the extension of DC,
Such that line segment EF goes through the vertex A.
To prove:
Proof:
Since, By the definition of parallelogram,
By the Alternative interior angle theorem,
Also, ( vertically opposite angles )
Thus, By AA similarity postulate,
Hence proved.
Answer:
Step-by-step explanation:
Given:
Focus point = (-5, -4)
Vertex point = (-5, -3)
We need to find the equation for the parabola.
Solution:
Since the x-coordinates of the vertex and focus are the same,
so this is a regular vertical parabola, where the x part is squared. Since the vertex is above the focus, this is a right-side down parabola and p is negative.
The vertex of this parabola is at (h, k) and the focus is at (h, k + p). So, directrix is y = k - p.
Substitute y = -4 and k = -3.
So the standard form of the parabola is written as.
Substitute vertex (h, k) = (-5, -3) and p = -1 in the above standard form of the parabola.
So the standard form of the parabola is written as.
Therefore, equation for the parabola with focus at (-5,-4) and vertex at (-5,-3)