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m_a_m_a [10]
2 years ago
5

Using Triangle Similarity Theorems (6)

Mathematics
1 answer:
Fantom [35]2 years ago
6 0

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

\frac{AD}{AC} = \frac{AE}{AB}

Plug in the values

\frac{9}{9 + DC} = \frac{12}{12 + 4}

\frac{9}{9 + DC} = \frac{12}{16}

\frac{9}{9 + DC} = \frac{3}{4}

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3

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Albert bought some fish at a grocery store at $2 per pound for salmon and $4 per pound for catfish. He spent a total of $12 on s
Gemiola [76]

Albert bought 2 pounds of catfish and 2 pounds of salmon

Let c represent the amount of catfish in pounds and s represent the amount of salmon in pounds.

He spent a total of $12 on salmon and catfish and bought a total of 4 pounds.  Hence:

c + s = 4    (1)

4c + 2s = 12    (2)

Solving equations 1 and 2 simultaneously gives:

c = 2, s = 2

Albert bought 2 pounds of catfish and 2 pounds of salmon

Find out more on equation at: brainly.com/question/2972832

7 0
2 years ago
Factor the trinomial x^2 - 7x + 10
Valentin [98]

Answer:

(x-5) (x-2)

Step-by-step explanation:

x^2 (-2x-5x) +10

basically you will write the equation down and then to double check multiply the x and then the -5 into (x-2). this can be repetitive if you get it wrong so try to do numbers that make sense.

7 0
3 years ago
X^2+x-12=0 solve ASAP
zzz [600]
X^2+x-12=0 factors out into (x+4)(x-3) so the answer is: x=-4, x=3
6 0
2 years ago
Help guys<br> I realy need help <br> I will report you if you give me the wrong answer
telo118 [61]

Answer:

the Answer is 150x + 12100 ≤ 26500

Step-by-step explanation:

The max weight is 26500 so the weight would have to be the same or less than 26500 (≤)

There is already 12100 killograms on the sipping containter so that is why you have + 12100

and you have 150x because x is the number of 150-kilogram crates

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7 0
2 years ago
Find the 7th term of a geometric sequence with t1 = 6 and r = 4.
Helen [10]

To solve for the 7th term of a geometric sequence with t1 = 6 and r = 4, we use the following equation:

<span>
a(n) = a(1) r^(n-1)
a7 = (6) 4^(7-1)
a7 = 24576</span>

Hope this answers the question. Have a nice day. Feel free to ask more questions.

8 0
3 years ago
Read 2 more answers
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