Answer:
The slope is 5/3
Step-by-step explanation:
3y-5x=15 turned into a slope intercept form is y=5/3x+5.
5/3 is the slope part of this equation.
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
Answer:
<em> (a). ∠UXV, ∠XVY ; (b). UV = 8 m .</em>
Step-by-step explanation:
<h3>
Answer:</h3>
sin(Y) = 4/5
<h3>
Step-by-step explanation:</h3>
The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.
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You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.
... Sin = Opposite/Hypotenuse
... Cos = Adjacent/Hypotenuse
