Answer:
80°
Step-by-step explanation:
The sum of the interior angles in a hexagon is 720°. This means that:
y + (2y - 20) + (2y - 20) + y + (2y - 20) + (2y - 20) = 720° - we can simplify this
10y - 80 = 720° - now, add 80 to both sides
10y = 800 - finally, divide both sides by 10
y = 800 ÷ 8 = 80°
Hope this helps!
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
Answer:
-3/5
Step-by-step explanation:
Answer:
4.25 grams
Step-by-step explanation:
100 / 5 = 20
85 / 20 = 4.25
4.25 grams of pure drug are in 85 milliliters of a solution.