What is the solution to the situation below? The sum of three consecutive integers is 42

13,14,15

Step-by-step explanation:

let the first number be n

The next 2 consecutive numbers will be

n+1 and n+2

Sum of these numbers is 42

n+ n+1+n+2=42

Combine like terms

3n+3=42

3n=42-3=39

n=39/3=13

So the numbers are

n=13

n+1=13+1=14

n+2=13+2=15

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'.