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strojnjashka [21]
3 years ago
5

How do you find the value of x in this trapezoid?

Mathematics
2 answers:
Tamiku [17]3 years ago
5 0
I hope this helps you

Basile [38]3 years ago
5 0
3x+4 is the average of 2x+2 and 8x-14 because it's exactly between the two on a trapezium. therefore:
3x+4=(2x+2 + 8x-14) / 2
↓
3x+4=(10x-12) / 2
↓
3x+4=5x-6
↓ add 6 to both sides
3x+10=5x
↓ take away 3x from both sides
10=2x
↓ divide both sides by 2
5=x
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Mr. McGloughlin’s horses eat a total of 19 liters 2 deciliters of rolled oats, and drink a total of 46 liters 4 deciliters of wa
Hunter-Best [27]

Answer:

459.2 liters.

Step-by-step explanation:

Let us convert our given amount of rolled oats and water in deciliters.

1 liter = 10 deciliters

19 liters = 19*10 deciliters = 190 deciliters.

\text{Total amount of rolled oats consumed per day}=(190+2)\text{ deciliters}

\text{Total amount of rolled oats consumed per day}=192\text{ deciliters}

46 liters=46*10=460 deciliters

\text{Total amount of water consumed per day}=(460+4)\text{ deciliters}

\text{Total amount of water consumed per day}=464\text{ deciliters}

Now let us find weekly consumption of oats and water by multiplying daily consumption of both items by 7.

\text{Total weekly consumption of oats and water}=7*(464+192)\text{ deciliters}

\text{Total weekly consumption of oats and water}=7*(656)\text{ deciliters}  

\text{Total weekly consumption of oats and water}=4592\text{ deciliters}

Let us convert weekly consumption of water and oats into liters.

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10\frac{\text{ deciliters}}{\text{liter}}}  

\text{Total weekly consumption of oats and water}=\frac{4592\text{ deciliters}}{10}\cdot\frac{\text{ liters}}{\text{ deciliters}}}

\text{Total weekly consumption of oats and water}=\frac{4592}{10}\text{ liters}

\text{Total weekly consumption of oats and water}=459.2\text{ liters}

Therefore, total weekly combined consumption of oats and water is 459.2 liters.

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