Answer:
124.5°
Step-by-step explanation:
Let the smallest angle be x. Then, the sum of the angles is an arithmetic sequence with first term x, common difference 7, and 8 terms.
Using the sum of an arithmetic series formula,
So, the third angle is 110.5+14=124.5
Explanation:
1/3 is the same as 2/6
Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.
Therefore 4/6 + 1/3 is the same as 4/6 + 2/6
At this point, we add the numerators over the common denominator
4/6 + 2/6 = (4+2)/6 = 6/6 = 1
Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.
Answer:
y - 6 = - 7(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)
m = =
= - 7
Use either of the 2 points for (a, b)
Using (3, 6), then
y - 6 = - 7(x - 3) ← in point- slope form