The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of the parallelogram.​

Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.

The ratio is 7:5 so we would have:

7x + 5x = 180

Simplify:

12x = 180

Divide both sides by 12:

X = 15

So one angle is 7 x 15 = 105 degrees

The other angle is 5 x 15 = 75 degrees

An obtuse angle is an angle greater than 90 degrees.

The obtuse angle would be 105 degrees.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

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x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation: