Can someone please help me with this geometry proof? It needs to get done ASAP and I'm really struggling.
1 answer:
One way to prove that the triangles are congruent is to show that the three pairs of sides have the same length.
For side , this is easy, since it is shared by the two triangles, so it is obviously equal.
On the other hand, we know that the given figure is a parallelogram, the opposite sides are equal in length. Particularly, it means that:
Thus, we have shown that each pair of sides have the same length, which means that:
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Answer: 68
Step-by-step explanation:
Formula for sample size when prior estimate of population proportion (p) is available:
, where z*= critical-value.
E= Margin of error.
Let p be the population proportion of trees are infected with the citrus red mite.
As per given , we have
E= ± 0.08
The critical z-value corresponding to 90% confidence level = z*=1.645
Substitute all the values in the above formula , we get
Required sample size :
[Rounded to next integer.]
Thus, the minimum sample size should be taken =68
Step-by-step explanation:
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
Here a^2 is 9, b^2 is 4.
So our foci is
and
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 5x + 4 ( subtract 4 from both sides )
y - 4 = 5x ( divide both sides by 5 )
= x
Change y back into terms of x
(x) =