The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
The polygon here has 8 sides, that is n = 8, thus
sum = 180° × 6 = 1080°
Sum the given angles and equate to 1080, that is
14x + 133 + 167 + 138 + 18x + 115 + 151 + 120 = 1080
32x + 824 = 1080 ( subtract 824 from both sides )
32x = 256 ( divide both sides by 32 )
x = 8
Thus the 2 unknown angles are
14x = 14 × 8 = 112°
18x = 18 × 8 = 144°
The first answer to your question is 5 6/10 because you pronounce the decimal as six tenths. There is a simpler form of 5 6/10, it is 5 3/5. This is because you divide six by 2 and get 3 and divide 10 by two and get 5.
Answer:
-2
Step-by-step explanation:
-5n + 18
where n is the number of the term
2/3 is greater than 10/18