Sophia played for 18 minutes and 26 minutes last week should play the piano for 40 minutes last week use the associative property to find the total number of minutes they played

Answer

Find out the total number of minutes they played using associative property.

To proof

Associative property of addition

This property states that

a + ( b + c) = ( a +b) +c

Where a, b, c are the any numbers.

As given

Sophia Played for 18 minutes and 26 minutes last week should play the piano for 40 minutes last week

let

a =  18 minutes , b =  26 minutes , c =  40 minutes

Total number of minutes sophia played = a + ( b + c) = ( a +b) +c

put the value of a, b,c

Total number of minutes sophia played =18+(26 +40) = (18 +26) + 40

                                                                  = 18 +66 = 44 + 40

                                                                  = 84 = 84

satisfy the associative property

Therefore the total number of minutes sophia played be 84 mintues.

Hence proved

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.