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3 years ago

Segment DE is midsegment of triangle ABC. What is the length of segment DE?

Mathematics

2 answers:

DiKsa [7]3 years ago

7 0

(X+5)2=X+15
2X+10=X+15
X=5
A) 5 :)

e-lub [12.9K]3 years ago

4 0

Answer:

B) 10

Step-by-step explanation:

If DE is midsegment of the triangle, we know that AC measures twice as DE.

In the problem we have that AC = x + 15 and DE = x + 5

Writing this as an equation we have:

$x + 15 = 2(x+5)\\x+15=2x +10\\15-10=2x-x\\5=x$

Therefore x = 5 and the length of segment DE is:

x + 5 = 5 + 5 = 10

Therefore the correct answer is B) 10

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BRAINLIEST ANSWER AND 98 POINTS!!!!

Alex73 [517]

Answer:

P (g1, g2) = P(g1) * P(g2) = 1/2 * 1/2 = 1/4

P (r1, r2) = P(r1) * P(r2) = 1/5 * 1/5 = 1/25

P ( b1, g1 or g1 b2) = 3/20 + 3/20 = 6/20 = 3/10

P ( b1, g1 or g1 b2) = 1/10 + 1/10 = 2/10 = 1/5

Step-by-step explanation:

How many marbles are there?

5 green, 3 black, and 2 red marbles = 10 marbles

P ( green marbles) = green/ total = 5/10 = 1/2

Then she puts it back, so there are still 10 marbles

P (2nd marble is green) = green/ total = 5/10 = 1/2

These are independent events ( since the marble is replaced)

P (g1, g2) = P(g1) * P(g2) = 1/2 * 1/2 = 1/4

P ( red marble) = red/ total = 2/10 = 1/5

Then she puts it back, so there are still 10 marbles

P (2nd marble is red) = red/ total = 2/10 = 1/5

These are independent events ( since the marble is replaced)

P (r1, r2) = P(r1) * P(r2) = 1/5 * 1/5 = 1/25

P ( black marble) = black/ total = 3/10

Then she puts it back, so there are still 10 marbles

P (2nd marble is green) = green/ total = 5/10 = 1/2

These are independent events ( since the marble is replaced)

P (b1, g2) = P(b1) * P(g2) = 3/10 * 1/2 = 3/20

This is if order matters, but I will assume order does not matter since the key word then is not there it just says and

If order doesn't matter, just that she has a black and green marble

The we multiply it by 2 because

P (b2, g1) = P(b2) * P(g1) = 1/2 * 3/10 = 3/20

We add the probabilities when it is or

P ( b1, g1 or g1 b2) = 3/20 + 3/20 = 6/20 = 3/10

P ( green marble) = green/ total = 5/10=1/2

Then she puts it back, so there are still 10 marbles

P (2nd marble is red) = red/ total = 2/10 = 1/5

These are independent events ( since the marble is replaced)

P (g1, r2) = P(g1) * P(r2) = 1/2 * 1/5 = 1/10

This is if order matters but I will assume order does not matter since the key word then is not there it just says and

If order doesn't matter, just that she has a green and red marble

The we multiply it by 2 because

P (r1, g2) = P(r1) * P(g2) = 1/5 * 1/2 = 1/10

We add the probabilities when it is or

P ( b1, g1 or g1 b2) = 1/10 + 1/10 = 2/10 = 1/5

3 0

3 years ago

What is the equation of the sinusoid shown in the graph?

ololo11 [35]

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

$y=\cos x$

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

$y=A\cos(\omega x)$

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

$\frac{\pi}{2}\omega =2\pi$

Thus:

$\omega = 4$

Therefore, the equation of the sinusoid is:

$y=3\cos (4x)$

Answer: C

3 0

2 years ago

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What are the coordinates for Point S?

torisob [31]

The coordinates of point S are (2,-2)

4 0

2 years ago

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La edad de juan es un año menos que la tercera parte de la edad de la madre. si dentro de 5 años, la edad de la madre sera 10 añ

koban [17]

Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.

<h3>¿Qué es un sistema de ecuaciones?</h3>

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables son:

Variable x: Edad de Juan.

Variable y: Edad de su madre.

La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:

$x = \frac{y}{3} - 1$

Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:

$y + 5 = 2(x + 5) + 10$

$y + 5 = 2x + 20$

Como $x = \frac{y}{3} - 1$ :

$y + 5 = \frac{2y}{3} + 18$

3y + 15 = 2y + 54

y = 39

$x = \frac{y}{3} - 1 = \frac{39}{3} - 1 = 13 - 1 = 12$

Juan tiene 12 años e su madre tiene 39 años.

Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040

#SPJ1

6 0

2 years ago

I need help on this question.

nataly862011 [7]

Answer: 19

Step-by-step explanation:

79 - y = 2y + 22

2y + y = 79 - 22

3y = 57

y = 19

I hope I helped you.

6 0

3 years ago