Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.
Given the slope m and a point (a,b) of a line, its equation is given by
In your case, a = -4, b = 7 and m=1/2, so we have
Answer: 5.66666666667
Step-by-step explanation: Thanks and have a Savage day.
Answer:
50/p increases from a small positive number to a big positive number.
Step-by-step explanation:
p is in the denominator. This means that p and the value of the expression 50/p are inverse proportional. So for a big value of p, 50/p has a small positive value. For a small value of p, 50/p has a high positive value.
what happens to the value of the expression 50/p as p decreases from a large positive number to a small positive number?
50/p increases from a small positive number to a big positive number.
For example
50/1000 = 0.05
50/1 = 50
if the diameter is 5, then its radius is half that, or 2.5.
![\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies C=2\pi (2.5)\implies C=5\pi \implies C\approx 15.71](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bcircumference%20of%20a%20circle%7D%5C%5C%5C%5C%20C%3D2%5Cpi%20r~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D2.5%20%5Cend%7Bcases%7D%5Cimplies%20C%3D2%5Cpi%20%282.5%29%5Cimplies%20C%3D5%5Cpi%20%5Cimplies%20C%5Capprox%2015.71)
