Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
For each of the problems for example #11 tells you to find the measure of angle ABC ABH=46 HBC=120
Therefore you just add the 2 together to get 166
So for #12 its a little diffrent the line is straight so it equals 180 degrees they give you one angle so 180-95= 85
Makes sense?
Answer:
A
Step-by-step explanation:
Calculate the midpoint using the midpoint formula
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (5, 5)
midpoint = [ 0.5(- 1 + 5), 0.5(5 + 5) ]
= [ 0.5(4), 0.5(10) ] = (2, 5 ) → A
Unit conversions will almost always fall into a division or multiplication problem. In this case we are being asked to convert a smaller unit to a larger one, so it will be a division problem.
The standard metric goes on the bottom of the fraction always, so 10/16 or 10÷16 is the problem.
10÷16= .625 pounds of cheese.
