2x+8y=9
4x+16y=18
this is because the second equation is the first equation, but multiplied by 2. if one side is multiplied by 2, so is the other
the answer is 18
Answer:
degree measure of arc AB = 120°
length of arc AB = 40π/3 in.
Step-by-step explanation:
arc AB has the same measure as its central angle. So, arc AB = 120°
120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.
Therefore, the
length of arc AB = 1/3πd = 1/3π(40) =
= 40π/3 in.
Answer:
two hundred and forty million dollars for the supply at $40 a barrel.
Step-by-step explanation:
Start by finding the interior angles based on the two given angle measures:
121 + x = 180
x = 59 (subtract 121 from both sides)
so the interior angle at the top is 59
144 + y = 180
y = 36 (subtract 144 from both sides)
so the interior angle on the right is 36
Now, all three angles of a triangle must have a sum of 180, so
x + y + z = 180
59 + 36 + z = 180 (substitute the two interior angle measures into the equation)
95 + z = 180 (simplify the equation)
z = 85 (subtract 95 from both sides)
Now that we know the interior adjacent angle is 85, we can find the exterior angle (n)
n + 85 = 180
n = 95 (subtract 85 from both sides)
so, n= 95 degrees
Answer:
10 mm/cm
Step-by-step explanation:
The conversion factor always has a value of 1. It is a fraction with the numerator equal to the denominator -- only the units are different.
The numerator units are the units you're converting <u>to</u>: millimeters. The denominator units are the units you're converting <u>from</u>: centimeters.
You know that 1 cm = 10 mm, so when you arrange the fraction as described, the conversion factor you're multiplying by is ...
![\boxed{\dfrac{10\,\text{mm}}{1\,\text{cm}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdfrac%7B10%5C%2C%5Ctext%7Bmm%7D%7D%7B1%5C%2C%5Ctext%7Bcm%7D%7D%7D)