He can buy 14 lemon heads
Answer:
each solo act will last 5 minutes and each ensemble act will last 14 minutes
Step-by-step explanation:
In the first show, we are told that there are 12 solo acts and 3 ensemble acts.
Now since each solo act lasts x minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;
12x + 3y = 102 - - - - eq1
In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.
Thus,we have;
6x + 3y = 72 - - - - eq2
Now, let's find x and y by subtracting eq 2 from eq1 to give;
6x = 30
Divide both sides by 6 to give;
x = 5
Put 5 for x in eq2;
6(5) + 3y = 72
30 + 3y = 72
3y = 72 - 30
3y = 42
y = 42/3
y = 14
Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes
Answer: 
Explanation:
Since we have given that
line m and line n are parallel to each other,
So,
Corresponding angles are equal , as shown in the figure ,
According to question,
Hence,
Answer:
48
Step-by-step explanation:
Hi!
Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.
Now, let's label the angles of the given triangle.
<DCE = y and <CDE=x
x+y+92=180
x+y= 88
Now, y+140 = 180 --> y= 40
x+40 = 88
x=48
The answer is 48 degrees.
Hope this is correct! Have a good day!
Answer:
A
Step-by-step explanation:
You have to plug numbers into point slope formula (make sure to use a slope of -4/3 since its perpendicular) and then solve for y.
