When two parallel lines are cut by a transversal, _______________________ angles are supplementary

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

7 0

Answer:

When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.

Step-by-step explanation:

d1i1m1o1n [39]3 years ago

5 0

Answer:

Alternate interior angles

Step-by-step explanation:

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles

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zhenek [66]

Answer:

Step-by-step explanation:

length = x +x + 2 = 2x + 2

Width = 2+ x

Area of rectangle = length *width

(x +2)(2x + 2) = 110

Use FOIL method

x*2x + x*2 + 2*2x + 2*2 = 110

2x² + 2x + 4x + 4 - 110 = 0 {Combine like terms}

2x² +6x - 106 = 0

a = 2 ; b = 6 ; c = -106

b² - 4ac = 6² - 4*2*(-106)

= 36 + 848

= 884

$\sqrt{b^{2}-4ac}=\sqrt{884}= 29.73$

$x =\dfrac{-b+\sqrt{b^{2}-4ac}}{2a} \ ; \ x==\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}\\\\x = \dfrac{-6+29.73}{2*2} \ ; \ x =\dfrac{-6-29.73}{2*2} \ this \ is \ ignored \ as \ it \ is \ negative\\\\x=\dfrac{23.73}{4};$