<u>Given</u>:
Given that the figure of similar triangles.
The altitude of the triangle is x.
The length of the left part is 30.
The length of the right part is 15.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the geometric mean theorem.
Thus, we have;

Substituting the values, we have;

Cross multiplying, we get;


Taking square root on both sides, we have;

Thus, the value of x is 15√2
Answer:
184
Step-by-step explanation:
17.70 / 170 = .104 per text
19.10 / .104 = 183.65 round up to 184
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
<span>An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
I hope this helpS!</span>
Answer:
5/3
Step-by-step explanation:
To find the slope we pick one set of points
2/3,-1/2
Set your equation up like this
y2-y1/x2-x1
Plug in and subtract(notice the negative)
And we get 5/3
Hope this helps