Answer:
m<1 = 105°
m<2 = 75°
Step-by-step explanation:
Since lines c and d are parallel to each other, therefore:
m<2 = 75° (corresponding angles are congruent)
m<1 + m<2 = 180° (linear angle pair)
Substitute
m<1 + 75° = 180°
Subtract 75 from both sides
m<1 = 180° - 75°
m<1 = 105°
Area of a rectangle = length x width
3/4 x 5/12 = 15/48
15/48 = 5/16
The area of Kurt's maze is 5/16 square feet.
The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.
Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.
X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540
Simplify by combing like terms:
8x - 4 = 540
Add 4 to both sides:
8x = 544
Divide both sides by 8:
X = 68
Now replace x with 68 in each angle and solve:
U = 68-8 = 60
V = 3(68)-11 = 204-11 = 193
W = 68 + 8 = 76
Y = 68
Z = 2(68) + 7 = 136 + 7 = 143
A + (-7) = -17
a + (-7) + 7 = -17 + 7
a = -10
Answer:
Number of 5 dollar bills = 23
Number of 10 dollar bills = 13
Step-by-step explanation:
Let number of 5 dollar bills be x
and the number of 10 dollar bills be y
Total $245, means we can write:
5x + 10y = 245
Ten more 5 dollar bills than 10 dollar bills, means:
x - 10 = y
Now we substitute 2nd equation in first and solve for x:
Also,
y = x - 10
y = 23 - 10 = 13
So there are 23 5-dollar bills and 13 10-dollar bills
