Answer:
c squared - a squared = b squared
Step-by-step explanation:
Since a squared + b squared = c squared
With these values it would equal 14 squared - 7 squared = c squared
Then after you find c squared, find the square root of it and there you have go your answer!
![\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = 4\frac{2}{3}x\qquad \qquad yes\qquad \checkmark\qquad \qquad k = 4\frac{2}{3} \\\\[-0.35em] ~\dotfill\\\\ y=3(x-1)\implies \stackrel{\textit{distributing}}{y=3x-3}\qquad \qquad yes\qquad \checkmark \qquad \qquad k=3](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdirect%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20directly%20with%20%5Cunderline%7Bx%7D%7D%5Cqquad%20%5Cqquad%20y%3Dkx%5Cimpliedby%20%5Cbegin%7Barray%7D%7Bllll%7D%20k%3Dconstant%5C%20of%5C%5C%20%5Cqquad%20variation%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20y%20%3D%204%5Cfrac%7B2%7D%7B3%7Dx%5Cqquad%20%5Cqquad%20yes%5Cqquad%20%5Ccheckmark%5Cqquad%20%5Cqquad%20k%20%3D%204%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20y%3D3%28x-1%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bdistributing%7D%7D%7By%3D3x-3%7D%5Cqquad%20%5Cqquad%20yes%5Cqquad%20%5Ccheckmark%20%5Cqquad%20%5Cqquad%20k%3D3)
bear in mind that, direct proportional equations have a y-intercept.
for y = kx, is pretty much y = kx + 0, where 0 = y-intercept.
and the "k" constant of proportionality, is pretty much just its slope.
Answer:
The answer is: Number of adult tickets: 20. Number kid's tickets: 50.
Step-by-step explanation:
5.50a + 4.00k = 310
a + k = 70
a = 70 - k
5.50(70-k) + 4.00k = 3.10
385 - 5.5k + 4k = 310
-1.5k = 310 - 385
-1.5k = -75
k = -75 / -1.5 = 50
Find the number of adult tickets:
a + 50 = 70
a = 20
Proof:
5.50(20) + 4.00(50) = 3.10
110 + 200 = $310
<u>Given</u>:
Given that the angles of the kite.
The opposite angles of the kite measures (3y + 14)° and (y + 50)°
We need to determine the value of y.
<u>Value of y:</u>
We know the property that the opposite angles are equal.
Thus, applying the property, we have;

Subtracting both sides of the equation by y, we have;

Subtracting both sides of the equation by 14, we get;

Dividing both sides of the equation by 2, we get;

Thus, the value of y is 18.