Let x = big number
Let y = small number
x + y = 66...Equation A
2y = x + 15...Equation B
We have two equations in two unknowns.
x + x + 15 = 66
2x = 66 - 15
2x = 54
x = 54/2
x = 27
Plug x = 27 into EITHER equation above to find y.
I will use Equation A.
x + y = 66
27 + y = 66
y = 66 - 27
y = 39
The two numbers are 27 and 39.
You can perform the horizontal line test on the original to see if the inverse will be a function. You will not perform the horizontal line test on the inverse.
Answer:
1 hour and 20 minutes
Step-by-step explanation:
45+25+10=80 minutes which equal 1 hour and 20 minutes
Range is 6 and the mode is 8
<u><em>Answer:</em></u>
The shorter leg is
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is
the length of the hypotenuse
The length of the side opposite to the 60° is
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° =
inches
Hope this helps :)