The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Answer:
Hiroshi's error was not having changed the sign of the number 37 by removing the parentheses and placing -37 instead of +37.
Step-by-step explanation:
we have
Hiroshi's work

Remember that
a negative number is just a positive number multiplied by -1
and (-1)(-1)=+1
so
Correct work





therefore
Hiroshi's error was not having changed the sign of the number 37 by removing the parentheses and placing -37 instead of +37.
Statement: Your question is well elaborate and has all needed data.
Answer:
13 and -14 satisfy this condition
Step-by-step explanation:
Let's represent that number as x
and the square of x is x^2
So,
x + x^2 = 182
Subtract 182 from both sides
x + x^2 - 182 = 182 - 182
x + x^2 - 182 = 0
rearrange the quadratic equation
x^2 + x -182 = 0
let's use the quadratic formula
or 
a = 1, b = 1, c = -182
or 
or 
or 
or 
or 
13 or - 14
Lets check
13 + 13^2 = 13 + 169
= 182
Also,
-14 + (-14^2) = -14 + 196
= 182
Answer:
1240
Step-by-step explanation:
the explanation is very long but I hope this is correct!