The vertical angles are equal to each other, that is, one of the one-sided corners will be 116°.
The sum of the one-sided angles is 180°, which means: 4x+116 = 180°
4x = 180-116 => 4x = 64°
x = 64/4 = 16°.
The sum of two adjacent angles is 180°. which means, that: 2x-3y = 180-64 = 116°
2x-3y = 116°
-2x+3y = -116
-32+3y = -116
3y = -116-(-32)
3y = -84
y = -84/3 => y = -28.
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
Decimal form : 2.61728395
Mixed Number: 2 50/81
Answer:
Donuts cost $2.00 and Cookies cost $1.50
Step-by-step explanation:
D = cost of a donut
C = cost of a cookie
4D + 10C = $23.00
8D + 6C = $25.00
Eliminate a variable when subtracting the two equations. Change both values with C to 60 in order to eliminate the C variable and solve for D.
80D + 60C = $250.00 subtracted from 24D + 60C = $138
56D = $112.00 (Divide by 56 to single out the variable)
56D/56 = $112.00/56
D = $2.00
Use the D value to solve for C.
4(2) + 10C = $23.00
8 + 10C = $23.00
8 - 8 + 10C = $23.00 - 8
10C = $15.00
10C/10 = $15/10
C = $1.50
Check:
Bentley:
4D + 10C = $23
4(2) + 10(1.50) = $23
8 + 15 = $23
23 = 23
Skylar:
8D + 6C = $25
8(2) + 6(1.50) = $25
16 + 9 = $25
25 = 25
I'm pretty sure it is 4, 10.5/5 = 2.1 and 8.5/2.1 = 4.047619047619048 which to the nearest tenth is 4.0 or 4......hope this helps,and hope it is correct!!
