The side length is 2/√3 times the altitude, so will be
.. (26 cm)*(2/√3) = (52/3)√3 cm ≈ 30.02 cm
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Answer:
- same-side interior
- (3x +4) +(2x +11) = 180
- 77°
Step-by-step explanation:
Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.
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Because the angles are supplementary, their sum is 180°. So, the equation ...
(3x +4)° +(2x +11)° = 180°
can be used to solve for x. Likewise, any of the possible simplifications of this can be use:
(3x +4) +(2x +11) = 180 . . . . . divide by degrees
5x +15 = 180 . . . . . . . . . . . collect terms
5x = 165 . . . . . . . . . . . . . subtract 15
x = 33 . . . . . . . . . . . . . . divide by 5
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Once we know that x=33, then the measure of angle 5 is found from its expression:
m∠5 = (2x +11)° = (2·33 +11)°
m∠5 = 77°
By cosine rule, the length of the longer diagonal is sqrt(60^2 + 40^2 - 2 x 60 x 40 cos 132) = sqrt(8,411.83) = 91.7 cm
The other angle of the parallelogram is 180 - 132 = 48
The length of the shorter diagonal is sqrt(60^2 + 40^2 - 2 x 60 x 40 cos 48) = sqrt(1,988.17) = 44.6 cm
The y intercept is -2 the slope is 1/23x the slope is positive
