Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
Answer:
18/4
Step-by-step explanation: in order to get an equivalent ration just multiply both numerator and denominator by the same number
in this case I multiplied by 2 and got 18/4
<h3>
Explanation:</h3>
For a system of 2 equations in 2 unknowns, there are 3 cases:
- slopes are different — one solution
- slopes are the same and y-intercepts are different — no solutions
- slopes and y-intercepts are the same — infinitely many solutions
When slopes are different, the two lines intersect at <em>one</em> point, the <em>solution</em>.
When slopes are the same, the lines may be either parallel (different y-intercepts) or the same (same y-intercepts). If the lines are parallel, there are no points of intersection, hence <em>no solutions</em>. If the lines are the same line, they intersect at all points, so there are <em>infinitely many solutions</em>.
