Answer:
Step-by-step explanations:
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
Simplify the left side.
Tap for more steps...
3−9x=2(−4x+7)
Simplify the right side.
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3−9x=−8x+14
Move all terms containing x
to the left side of the equation.
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3−x=14
Move all terms not containing x
to the right side of the equation.
Tap for more steps...
−x=11
Multiply each term in x=−11
by −1
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x=−11
Hope this helps!
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
Answer:
number less than 3=1 and 2
so 2/6 = 1/3 in lowest terms
then rolling a 6 =
there is only one 6 so it will be 1/6
I hope I helped
