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BartSMP [9]
3 years ago
15

In the given triangle ABC, find DE. answers: 20 5 10 2.5

Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5

Hope this helps!

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You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Sladkaya [172]

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

6 0
2 years ago
Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.
nataly862011 [7]

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2

3 0
2 years ago
Sue drank 2/5 of her water bottle and sally drank 4/10 of her water bottle how much water did both girls drank?
stealth61 [152]

well, clearly the LCD from the denominators of 5 and 10 is just 10, thus

\bf \stackrel{\textit{Sue}}{\cfrac{2}{5}}+\stackrel{\textit{Sally}}{\cfrac{4}{10}}\implies \stackrel{\textit{LCD of 10}}{\cfrac{(2)2~~+~~(1)4}{10}}\implies \cfrac{2+4}{10}\implies \cfrac{6}{10}\implies \stackrel{\textit{simplified}}{\cfrac{3}{5}}

3 0
3 years ago
Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink
Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

x+y=750...(1)  

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

x=1.5y...(2)

From equation (1) we will get,

y=750-x  

Upon substituting this value in equation (2) we will get,

x=1.5(750-x)

Upon distributing 1.5 to right hand side of the equation we will get,

x=1125-1.5x

Upon adding 1.5x to both sides of equation we will get,

x+1.5x=1125-1.5x+1.5x

2.5x=1125

Let us divide both sides of our equation by 2.5.

\frac{2.5x}{2.5}=\frac{1125}{2.5}

x=450

Therefore, Alla drank 450 ml of water.

8 0
3 years ago
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample
Nana76 [90]

Answer:

2,325 grams !

Step-by-step explanation:

8 0
2 years ago
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