Answer:
-2 - -10
Step-by-step explanation:
So, to factorise something you are taking out the highest common factor.Here, 10 is an example of the highest common factor (I’ll refer to this as HCF)
10(2k+5)
Everything inside the brakets is multiplied by what’s directly next to it (if there is a negative sign, then that is included). So, 10 x 2k = 20k and 10 x 5 = 50
10(2k + 5) is the factorised version of 20k + 50
Answer:
n = 9
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Given 3 angles and the remaining angle of 141° then there are
141(n - 3) angles of this size
Then
99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is
414 + 141n - 423 = 180n - 360
141n - 9 = 180n - 360 ( subtract 141n from both sides )
- 9 = 39n - 360 ( add 360 to both sides )
351 = 39n ( divide both sides by 39 )
9 = n
The polygon has 9 sides
Answer:
x = 24°
Step-by-step explanation:
the sum of the interior angles in a triangle = 180°
so:
(2x + 5°) + 64° + 3x - 9° = 180°
combine like terms:
5x + 60° = 180°
subtract 60° from each side of the equation:
5x = 120°
x = 24°
