The answer for this question is 80
x + y = 9 equation 1<span> the sum of the digits of a two-digit number is 9
</span>the number formed by interchanging the digits is 27 less than the original number<span>
we are looking at the number xy,
10x+y for x is a tens digit.
10y + x = 10x + y + 27
simplify it,
9y = 9x + 27 divide by 9
</span>x + y = 9 equation 1
y= x + 3 equation 2
by subtitution we put y in equation 1
x + (x+3) = 9
2x = 6
x= 6/2= 3
y = x+3=3+3=6
Answer:
C. JK and LM are congruent
Step-by-step explanation:
Given the coordinates J(-2,8), K(0,8), L(1,0), and M(1,-2), in other to determine whether JK is congruent to LM, we need to determine if the length of side JK and LM are equal i.e JK = LM
To get JK:
We will find the distance between the coordinates J(-2,8), K(0,8) to get the length JK using the formula:
JK =√(x2-x1)²+(y2-y1)²
JK = √(0-(-2))²+(8-8)²
JK = √2²+0²
JK = √4
JK = 2
For the length of LM with coordinate L(1,0), and M(1,-2)
LM = √(1-1)²+(-2-0)²
LM = √0²+(-2)²
LM = √0²+2²
LM = √0+4
LM =√4
LM = 2
Since JK = LM = 2 units, this means that JK and LM are congruent.
Answer:
ab = 6
a+b = 5
Step-by-step explanation:
Answer:
The net profit per bike is 150-40= 120. Hence to break even, the store needs to profit more than the operating cost of the store. 3840/ 120= 32. The store needs to sell 32 bicycles each month to break even.