For 1, <span>∠1 and ∠5 are supplementary is a given, so you can just write 'Given'
For 2, due to that 1 and 2 are vertical angles (angles that are opposite to each other when two lines cross according to Math is Fun)
For 3, since </span>∠1=∠2, ∠1 can be substituted by ∠2 in ∠1+∠5=180 to get ∠2+∠5=180. Therefore, they are supplementary.<span>
For 4, due to that we have </span>Consecutive Interior Angles (they are angles that are on one side of a transversal, which is the line that cuts through a and b,but inside the two lines according to Math is Fun) adding up to 180 degrees, a || b
Feel free to ask if you have any questions!
Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
Answer:
x=5 twice
Step-by-step explanation:
x^2-10x+25=0
multiply the coefficient of x^2 and the last term
1X25=25
find two numbers you can multiply to get 25 and add to get -10
-5 + (-5)=-10 the middle term
replace -10x with -5x -5x and solve the equation
x^2-5x-5x+25=0
factorise by grouping
x(x-5)-5(x-5)=0
(x-5)(x-5)=0
Either x-5=0,x=5 or x-5=0,x=5
Therefore x=5 twice.
$63 000 ÷ 12
$5 250 ÷ 36
$145.83 should be put aside for retirement each month
Step-by-step explanation:
29x - 3 + 15x + 7 = 180° because these two angles are supplementary
if we add like terms
44x + 4 = 180
44x = 176 divide both sides by 44
x = 4
29x - 3 = 13y - 17 because alternate exterior angles has same measurement
since we found the value of x let's rewrite the equation
4 × 29 - 3 = 13y - 17
113 = 13y - 17
130 = 13y divide both sides by 13
10 = y
