Answer:
m MN = 70°
Step-by-step explanation:
∠MLN is an angle formed by the chords ML and LN and is calculated as
∠MLN = 0.5( m arc MN ), that is
35° = 0.5 arc MN ( multiply both sides by 2 )
arc MN = 2 × 35° = 70°
Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
__
Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
Answer:
There were a total of 72 Easter eggs.
Step-by-step explanation:
Since five students participated in an Easter egg hunt, where Ally snatched up one quarter of all of the eggs, Brett only managed to get half of what Ally found, Lee snagged six more than Brett, Jen ended up with half of Lee's take, While Lisa snagged three times that, to determine how many eggs were there in total, the following calculation must be performed:
Ally: 0.25X
Brett: 0.125X
Read: 0.125X + 6
Jen: 0.0625X + 3
Smooth: 0.1875X + 9
X - 0.25X - 0.125X - 0.125X - 0.0625X - 0.1875X = 0.25
0.25X = 6 + 3 + 9
0.25X = 18
Ally: 18
Brett: 9
Read: 15
Jen: 7.5
Smooth: 22.5
18 + 9 + 15 + 7.5 + 22.5 = X
72 = X
Thus, there were a total of 72 Easter eggs.
Answer:
x + y = 13
98x + 115y = z
Step-by-step explanation:
Let x represent the time spent taking class in Westside community college
Let y represent the time spent taking class in Pinewood community college
Let z represent the combined total amount paid for the class fees.
The total combined time for the two school is given as:
x + y = 13.
For the combined total amount; we multiply the price for each school with the time spent on the school and sum them together.
Westside: 
Pinewood: 
The combined total amount represented as z is given as:
z = 98x + 115y
