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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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The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
MariettaO [177]

Answer: The second option (160 cm)

Step-by-step explanation:

1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.

2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.

3. Therefore, you can write the following expression, where x is an integer:

3x+3x+5x+8x=380

4. Solve for x:

3x+3x+5x+8x=380\\19x=380\\x=\frac{380}{19}\\x=20

5. Therefore, the longest side is:

8x=8*20=160 (160 cm)

5 0
3 years ago
Read 2 more answers
Give the degree and classify the polynomial by the number of terms.
cestrela7 [59]

Answer:

degree 3, binomial

Step-by-step explanation:

the highest exponent is the degree, it's two terms so bi meaning 2 makes it a binomial

5 0
3 years ago
Gabriela has dinner at a cafe and the cost of her meal is \$45.00dollar sign, 45, point, 00. Because of the service, she wants t
alexgriva [62]

Answer:

$51.75

Step-by-step explanation:

Multiply 45.00 by 0.15 and you get 6.75

Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps

3 0
3 years ago
If f(x)=-x^2+3X +5 and g(x)=X^2 +2x, which graph shows the graph of (f+g)(x)?
lana [24]

Answer:

Step-by-step explanation:

+ We find the function (f+g)(x) like

(f+g)(x)= f(x) + g(x) = x^2 +3x+5 + x^2 + 2x = 2x^2 +5x + 5

+ So the graph of (f+g)(x) is a parabole with the sommet (-5/4, 15/8).

Hope that useful for you.

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4 years ago
24. Demography A city has a population of 71,500. Ten years ago the population
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Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

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