Answer:
20
Step-by-step explanation:
3x + x + 100 = 180 (sum of angles on a straight line)
4x = 180-100
4x=80
divide both sides by 4
x=20
Answer:
The correct option is C.
Step-by-step explanation:
The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.
The given terms are 
and 
.
The factored form of each term is
To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.
The LCM of given terms is 
. Therefore the correct option is C.
Angle K = angle M
(4x-1)=(2x+27)
4x-2x=27+1
2x=28
x=14
K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
Answer:
flip the inequality sign when multiplying or dividing on a negative number
Step-by-step explanation:
Hope this helped :]
