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KengaRu [80]
4 years ago
8

Given: △ABC,

Mathematics
1 answer:
Svet_ta [14]4 years ago
4 0

Answer:

BE=7 un., EC=5 un.

Step-by-step explanation:

Triangles ABC and ADE are similar, then

\dfrac{14}{14-x}=\dfrac{12}{BE}=\dfrac{10}{x}.

Thus,

14x=10(14-x),\\ \\14x=140-10x,\\ \\24x=140,\\ \\x=\dfrac{140}{24}=\dfrac{35}{6}\ un..

Therefore,

\dfrac{12}{BE}=\dfrac{10}{\frac{35}{6}},\\ \\10BE=12\cdot \dfrac{35}{6},\\ \\10BE=70,\\ \\BE=7\ un.

So EC=BC-BE=12-7=5\ un.

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The absolute value parent function.
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3 years ago
Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12. The next week, Sarah bought 2 loaves o
sergejj [24]

Answer:

Here, b represents one loaf of bread and m represents the one gallon of milk.

As per the statement:

Arah went to the grocery store and bought 4 loaves of bread and 1 gallon of milk for $12.

⇒4b+m = 12  

It is also given that the next week, Sarah bought 2 loaves of bread and 3 gallons of milk for $13.50.

⇒2b+3m = 13.50

Then; system of equation :

4b+m = 12                   .....[1]

2b+3m = 13.50           .....[2]

Solve for b and m using above system of equations.

Multiply equation [2] by 2 we get;

4b+6m = 27              .....[3]

Subtract equation [1] from [3] we get;

4b+6m - 4b -m= 27-12

Combine like terms;

5m= 15

Divide both sides by 5 we get;

m = $3

Substitute the value of m in equation [1] we get;

4b+3 = 12

Subtract 3 from both sides we get;

4b=9

Divide both sides by 4 we get;

b = $2.25

Therefore, cost of one loaf of bread (b) and one gallon of milk (m) are:

$2.25 ad $3



3 0
3 years ago
Need an explanation on number 44 to why E is correct
aliina [53]

Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.

2/3 = 0.66

1/3=0.33

1/5=0.2

2/6=1/3 = 0.33

1/2 = 0.5

7/10 = 0.7

7/9 = 0.77

The question is :

2/3 < x < 7/9

0.66 < x < 0.77

We need to divide into 2 parts :

0.66 < x

x < 0.77

So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.

Hope this helps. Please ask if you don't understand.

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Answer:

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