Set up two equations.
s + 12 = l , s + l = 74 (these equations represent the problem)
s + (s + 12) = 74 plug in "l" to the second equation.
2s + 12 = 74 combine like terms.
2s + 12 - 12 = 74 - 12 subtract to isolate the variable
2/2s = 62/2 divide to isolate the variable.
s = 31. This means the smaller number is 31.
31 + 12 = 43. since the larger number is 12 more than the smaller, add 12.
l = 43 the larger number has a value of 43.
small number = 31
larger number = 43
hope this helps! :D
5/9
5 times 4= 20
12 times 3=36
20/36=5/9
Vertical angles are equal
7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7
m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
Answer:
x < -1
Step-by-step explanation:
Step 1: Write out inequality
-10 + x + 4 - 5 > 7x - 5
Step 2: Solve
x - 6 - 5 > 7x - 5
x - 11 > 7x - 5
-11 > 6x - 5
-6 > 6x
-1 > x
Step 3: Rewrite
x < -1
About 3.
hope this helped! :)