A circle is centered on point BBB. Points AAA, CCC and DDD lie on its circumference. If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 61^\circ61 ∘ 61, degrees, what does \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?

  122°

Step-by-step explanation:

The measure of the central angle is twice the measure of the inscribed angle that subtends the same arc.

  ∠ABC = 2×∠ADC = 2×61°

  ∠ABC = 122°

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!