Answer:
AA similarity theorem
Step-by-step explanation:
we know that
<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar
In this problem we have that
∠BCA=∠ECD ----> by vertical angles
∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)
therefore
Triangles ABC and EDC are similar by AA similarity theorem
Answer:
We know that:
Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J
Energy used daily in a certain family home = 3x10^4 J
(you did not write the units, so i suppose that are the same in both cases)
Then, if x is the number of liters of solution A used, the energy produced will be:
E(x) = x*7.6x10^10 J
And we want this equal to 3x10^4
then:
E(x) = x*7.6x10^10 J = 3x10^4 j
now we solve this for x.
x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7
Then you need to use 3.9x10^-7 L of solution a.
The correct answer is D) y + 1 = 4/3(x - 9)
In order to find this, simply take the point and the slope and plug into the base form of point-slope form.
y - y1 = m(x - x1)
Use the slope for m and the point for (x1, y1)
y + 1 = 4/3(x - 9)
I'm going to change those to 5/2 and 8/7
Dividing is the same multiplying by the reciprocal (reciprocal of x is 1/x, reciprocal of x/y is y/x)
So (5/2)/(8/7)=(5/2)*(7/8)=(5*7)/(2*8)=35/16
Final answer: 35/16
