Distance between (-8,-4) and (0,-8)
1 answer:
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Answer:
<h3>5 workers finish this work in 60 days</h3>Step by step explanation:
The problem tells us that at the end of the day, there are only 5 workers left, which we must find how many days it takes to finish said work.
We start by finding the type of proportionality we have.
<em>In this case, we have that the more workers there are, they will finish that work in less time, and the fewer workers there are, the longer it will take to finish the work. This is the inverse proportionality, to more less, to less more.</em>
We have only 5 workers left.
In the first case there are 10 workers, and in the second case there are 5 workers left. We find the relationship between the workers in the second case among the workers in the first case.
<h3>Ratio = 5 workers / 10 workers = 1/2</h3>We see that the time is found by dividing the number of days in which the 10 workers finish the work, by 1/2.
As we know, dividing two fractions is the SAME as multiplying by the inverse fraction.
By so
<h3>5 workers finish this work in 60 days</h3>Answer:
-138/7
Step-by-step explanation:
use l.c.m . Or multiply through by 30.
Answer:
3.) m < 7 = 155°, m < 8 = 25°
4.) m < 5 = 30°
m < 6 = 30°
m < 7 = 60°
m < 8 = 60°
Step-by-step explanation:
3.) By definition, angles that do not share a common side are called nonadjacent angles. Two nonadjacent angles formed by two intersecting lines are called vertical angles.
- Given that < PQT + < TQR = 180°
- Then it also means that the sum of <em>m</em> < 7 and <em>m</em> < 8 will also equal 180°.
- Also, < PQT ≅ < SQR because they are <u>vertical angles,</u> therefore, their measurements must also be congruent.
- Similarly, < PQS ≅ < TQR because they are <u>vertical angles</u>, and their measurements must also be congruent.
m < 7 = 5x + 5
m < 8 = x - 5
m < 7 + m < 8 = 180°
Substitute the values of m < 7 and m < 8 into the equation:
5x + 5 + x - 5 = 180°
6x + 0 = 180°
6x = 180°
Divide 6 on both sides of the equation to solve for x:
x = 30°
Plug in x = 30° to find the value of m< 7 and m< 8:
m < 7 = 5x + 5 = 5(30) + 5 = 150 + 5 = 155°
m < 8 = x - 5 = 30 - 5 = 25°
4.) This problem is an example of angles on a straight line. By definition, the sum of angles on a straight line is equal to 180°.
Therefore, the measurements of the following angles add up to 180°:
- < UVX + < XVY + < YVZ + <ZVW = 180°
- <em>m </em>< 5 + <em>m</em> < 6 + <em>m </em>< 7 + <em>m</em> < 8 = 180°
m < 5 = 5x
m < 6 = 4x + 6
m < 7 = 10x
m < 8 = 12x - 12
Substitute the values of each measurement onto the following equation:
5x + 4x + 6 + 10x + 12x - 12 = 180°
Combine like terms:
31x - 6 = 180°
Add 6 on both sides of the equation:
31x - 6 + 6 = 180° + 6
31x = 186
Solve for x:
x = 6
Plug in x = 6° to find the values of <em>m</em> < 5, <em>m</em> < 6, <em>m</em> < 7, and <em>m</em> < 8:
5(6) + 4(6) + 6 + 10(6) + 12(6) - 12 = 180°
180° = 180°
Therefore:
m < 5 = 5(6) = 30°
m < 6 = 4(6) + 6 = 30°
m < 7 = 10(6) = 60°
m < 8 = 12(6) - 12 = 60°