In the figure below, if m∠2=(18x+6)° and m∠3=(21x+18)° then m∠2= _ .

m∠2 = 78°

Step-by-step explanation:

Two lines 'l' and 'm' are parallel and another line 'n' is a transverse.

Since ∠2 and ∠3 are the consecutive interior angles,

Therefore, sum of these angles will be 180°.

m∠2 + m∠3 = 180°

(18x + 6)° + (21x + 18)° = 180°

(18x + 21x) + ( 6 + 18) = 180

39x + 24 = 180

39x = 180 - 24

39x = 156

x =

x = 4

Since, m∠2 = (18x + 6)°

By substituting the value of x = 4,

m∠2 = (18×4) + 6

        = 72 + 6

        = 78°

Therefore, measure of angle 2 is 78°.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5