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:
Shane had $240 at the beginning of his trip.
Step-by-step explanation:
Shane returned from a trip to Las Vegas with $420 and this is 75% more of at the beginning.
Let us assume the money he carried at the beginning of the trip was $x
At present he is having 75% more means total money he has = x+75% of x
This total amount is equal to $420
Therefore x + .75x = 420
x(1 +.75) =420
1.75 x = 420
Now by dividing both sides by 1.75
x = 420÷1.75
= $240
Therefore the amount he carried in the beginning of the trip is $240.
Answer:
I think it would be 3y+3y-12 because 6y=3y+3y
Step-by-step explanation:
Answer:
BD = 16
Step-by-step explanation:
32/BD = BD/8
BD² = 256
BD = 16
Answer:
2.2 or 11/5
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
To convert a Decimal to a Fraction follow these steps:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
