For extra fun, groups of student in a class are tasked to create algebraic expression to satisfy the measures of the angles of their triangular picture frame project. If the measure of the angles are as follows:m∠A = 5x - 3, m∠C = 2x + 5, m∠E = 3x - 2, arrange the sides of the frame in increasing order. don't spam!! ​

Step-by-step explanation:

Sum of all angles of the triangle = 180

∠A + ∠C + ∠E = 180

5x - 3 + 2x +5 + 3x -2 = 180

Combine like terms

5x + 2x + 3x - 3 + 5 - 2 = 180

            10x + 0 = 180

10x = 180

Divide both sides by 10

x = 180/10

x = 18

∠A = 5x - 3 = 5*18 - 3 = 90 - 3 = 87

∠C = 2x +5 = 2*18 + 5 = 36 + 5 = 41

∠E = 3x - 2 = 3*18 - 2  = 54 - 2 = 52

Side opposite to smallest angle is small

∠C is smallest. So, AE is smallest side

Next smallest is ∠E. So, AC is the next side

AE < AC < CE

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

answer: 5

step-by-step explanation: