2 and a half cups of chocolate I think
1) in one minute for first wiil be 1/20
the other 1/30, it means that A paint in one minute 1/20 and B 1/30 then A+B in one minute 1/20 + 1/30 = 3+2/60 = 5 / 60, 5/60 = 1/12
if in one min they make 1/12 then in 12 min they paint all the wall
Answer:
The two numbers are 37.5 and 25.5
Step-by-step explanation:
Comment
Let the two numbers be x and y
Equations
x + y = 63
x - y = 12
Solution
Add the two equations. The ys cancel out.
2x = 75 Divide by 2
2x/2 = 75/3 Do the division
x = 37.5
Now use one of the given equations to solve for y
x + y = 63
x = 37.5
37.5 + y = 63 Subtract 37.5 from both sides
37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides
y = 25.5
Check
x - y =? 12
37.5-25.5 =? 12
12 = 12
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Answer:
mAB = 49
mABC = 253
mBAC= 156
mACB = 311
Step-by-step explanation:
