The answer is x=3. Work shown in the photo above!
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
The slope is about 2.6667, the angle is almost 70° and the distance is 8.5 ish maybe even a little less
Using a system of equations, it is found that:
- There are 8 chickens in the yard.
- There are 16 pigs in the yard.
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This question is solved using a system of equations. I am going to say that:
- x is the number of chickens.
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- A chicken has 1 head, as do a pig.
- There are 24 heads.
Thus:
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- A chicken has 2 feet.
- A pig has 4 feet.
- In total, there are 80 feet.
Thus:
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Number of chicken:
Since 
There are 8 chickens in the yard.
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Number of pigs:
There are 16 pigs in the yard.
A similar problem is given at brainly.com/question/24104709
Answer:
The box must be 3 inches in height
Step-by-step explanation:
In this question, we are concerned about calculating the height of the supplies box.
To be able to get the value for the volume, we need to use the mathematical formula.
Since It is a rectangular prism, the volume V = l * b * h
where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2
The height of the supply box is thus 90/30 = 3 inches high
