1. ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < d = 2x + 20. Angles B&C are congruent. What is the measure of angles B&C?

2. QRST is a rectangle. RS = 12k +5 and QT = 145. what is the value of 'k'?

∠ B = 123°, ∠ D = 57°

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side.

∠ A and ∠ D are on the same side, then

6x + 12 + 2x + 20 = 180

8x + 32 = 180 ( subtract 32 from both sides )

8x = 148 ( divide both sides by 8 )

x = 18.5

Thus

∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°

∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°

The lower base angles and the upper base angles are congruent, so

∠ B = ∠ A = 123°

∠ C = ∠ D = 57°

Step-by-step explanation:

#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.

--- If angle A is acute, then m∠A = m∠D

and

6x + 12 = 2x + 20 ⇒ x = 2

m∠A = m∠D = 24°

m∠B = m∠C = 180° - 24° = 156°

--- If angle A is obtuse, then m∠A + m∠D = 180°

and

6x + 12 + 2x + 20 = 180 ⇒ x = 18.5

m∠A = m∠B = 6(18.5) + 12 = 123°

m∠D = m∠C = 2(18.5) + 20 = 57°

#2). 12k + 5 = 145

12k = 140

k = =

chicken nugget stir fry

step-by-step explanation:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.