Using the Pythagorean theorem:
x^2 + (x-2)^2 = (√20)^2
Simplify the right side:
x^2 + (x-2)^2 = 20
Subtract 20 from both sides:
x^2 + (x-2)^2 - 20 = 0
Factor:
(x-4)(x+2) = 0
Solve for each x:
x = 4 and x = -2
The side cant be a negative value, so the answer would be x = 4
The answer is B.
Answer:
4
Step-by-step explanation:
Easy
1/2+1/2=1 or 2/2
2/2+1/2= 3/2
3/2+1/2= 2
1/2*4=2
1/2+1/2+1/2+1/2=2
there are 4 halves in 2
Hope this helps
In the given series, we see that the first term is 3 and
the common ratio between the succeeding terms is -3. To solve for the sum of
the first 8 terms, we use the equation,
Sum = (a1)(1 – r^n) / (1 – r)
Substituting the known terms,
Sum
= (3)(1 – (-3)^8)/(1 - -3) = -4920
<span>Thus, the answer is -4920.</span>
The length of
is given by the relationship between the similar triangles
ΔABD and ΔBDC.
= <u>80</u>
Reasons:
The given parameters are;
The altitude of triangle ΔABD = 
The hypotenuse of formed right triangle = 
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;

Which gives;
= 
Therefore;



Which gives;

Learn more about similar triangles here:
brainly.com/question/4618367
So first I would say, what if all of them were dimes, how far away would it be from $14?
So 92 coins * 10 cents = $9.20
So it's 4.80 dollars away from 14 dollars.
So if we were to switch one to a quarter, it would increase by 0.15 cents.
So we want to see how many increases we need to reach 4.80 dollars more.
4.80/0.15 = 32
So there are 32 quarters and 60 dimes.