Answer: Transitive property of congruence
Answer:
let one even number be N
and another even number be N(N+2)
N(N+2)=360
n^2+2n-360=0
n^2+20n-18n-360=0
value of N= -20 ,18
but -20 not accepted
smaller number 18
Step-by-step explanation:
The system of linear equations represents the situation is;
x + y = 125
x + y = 1255x + 8y = 775
<h3>Simultaneous equation</h3>
Simultaneous equation is an equation in two unknown values are being solved for at the same time.
let
- number of quick washes = x
- number of premium washes = y
x + y = 125
5x + 8y = 775
From equation (1)
x = 125 - y
5x + 8y = 775
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
- 5y + 8y = 775 - 625
3y = 150
y = 150/3
y = 50
x + y = 125
x + 50 = 125
x = 125 - 50
x = 75
Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.
Learn more about simultaneous equation:
brainly.com/question/16863577
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Any slope of a vertical line is infinite. it would be equivalent to x= -1 x=0 and x= 1. it will go on forever
Step-by-step explanation:
In triangle,
<u> XYZ</u> <u>PYZ</u>
XZ = PZ = 12cm
XY = PY = 5cm
YZ = YZ (Common side)
<em><u>Hence</u></em><em><u>,</u></em>
As three sides of the two triangles are equal so,
<em><u>Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition </u></em>
