Answer:
The line segments are parallel.
Step-by-step explanation:
First, I never have graph paper when it is needed so I suggest Geogebra.com.
Now slope is found by rise over run so I took the points on the graph and counted where they intersected with any other points on the line. AB was 2/1 which means 2. I did the same for the other line segment and found 2/1 : 2. so both of the slopes are the same so you have parallel lines.
The given inequality is equivalent to
.. |p| < (9 +7)/4
which is represented by the 1st selection.
1% of 3.1 Trillion = <span>31000000000</span>
answer:
△DEF ≅ △VTU
step-by-step explanation:
- when you compare the figures, you will see how △DEF and △VTU look very similar, while the other one looks different in size
- another thing is that they have two congruent sides, and one congruent angle which fulfills the SAS triangle congruence theorem
![\large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}](https://tex.z-dn.net/?f=%20%20%5Clarge%7B%20%5Cboxed%7B%20%5Ctt%7BOUR%20%5C%3A%20ANSWER%20%3A%20%20%5Cunderline%7B%20%5C%24%20%5C%3A%20583.3125%7D%7D%7D%7D)
- Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.
![\large{ \tt{❃ \: FIRST \: METHOD }} :](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Ctt%7B%E2%9D%83%20%5C%3A%20FIRST%20%5C%3A%20METHOD%20%7D%7D%20%3A%20)
This method is related to the unitary method. Let's start :
- We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.
- We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.
![\large{ \tt{❃ \: SECOND \: METHOD}} :](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Ctt%7B%E2%9D%83%20%5C%3A%20SECOND%20%5C%3A%20METHOD%7D%7D%20%3A%20)
This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :
- Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ]
- Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.
- Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :
![\large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Ctt%7B%20%E2%9D%81%20%5C%3A%20%5Cfrac%7B1%7D%7B45.75%7D%20%20%3D%20%20%5Cfrac%7B12.75%7D%7Bx%7D%7D%7D%20)
![\large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Ctt%7B%E2%86%A6%20%5C%3A%201%20%5Ctimes%20x%20%3D%2045.75%20%5Ctimes%2012.75%7D%7D)
![\large{ \tt{↦x = \$ \: 583.3125}}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Ctt%7B%E2%86%A6x%20%3D%20%20%20%5C%24%20%20%5C%3A%20583.3125%7D%7D)
- Hence , She earned $ 583.3125 .
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