Algebra: For what values of x and y must each figure be a parallelogram? Need help please, and explanation.

9514 1404 393

  x = 60

  y = 30

Step-by-step explanation:

Adjacent angles in a parallelogram total 180°. This relation can be used to form equations to find x and y.

Right Side Angles

  x° +(5x -180)° = 180°

  6x = 360 . . . . . . . . . . . divide by °, add 180

  x = 60 . . . . . . . . divide by 6

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Left Side Angles

  4y° +2y° = 180°

  6y = 180 . . . . . . . . . divide by °

  y = 30 . . . . . . . divide by 6

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.