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IgorLugansk [536]
3 years ago
11

DE is a Mid-segment of triangle ABC. How long is DE?

Mathematics
1 answer:
KIM [24]3 years ago
8 0

Answer:

DE = 14

Step-by-step explanation:

Since, DE is a Mid-segment of triangle ABC.

Therefore,

DE = 1/2 * AC

2 DE = AC

2(5x - 1) = 3x + 19

10x - 2 = 3x + 19

10x - 3x = 19 +2

7x = 21

x = 21/7

x = 3

DE = 5x - 1

DE = 5*3 - 1

DE = 15 - 1

DE = 14

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What is 3.375 written as a fraction in simplest form
gogolik [260]

27/8

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7 0
3 years ago
What is the equation if x=1 and y=16/3
GaryK [48]
There may be more than one way in which to answer this question.  I will assume that the "equation" is a linear one:  f(x) = mx + b.

Then (16/3) = m(1) + b
This is one equation in two unknowns, so it does not have a unique solution.  Was there more to this problem than you have shared?


If we assume that the y-intercept (b) is zero, then y = mx, and 

16/3 = 1m, so that m = 16/3, and so   y = (16/3)x.
4 0
3 years ago
General Electric Company has an assembly line where light bulbs are produced. The ratio of defective bulbs to good bulbs produce
kati45 [8]

Answer: 200 bulbs will not be defective.

Step-by-step explanation:

The ratio of defective bulbs to good bulbs produced each day is 2 to 10. This ratio can also be expressed as 1 to 5 by reducing to lowest terms.

The total ratio is the sum of the proportions.

Total ratio = 1 + 5 = 6

This means that if n bulbs is produced, the number of defective bulbs would be

1/6 × n

The number of non defective would be

5/6 × n

Since n = 240, then the number of bulbs that will not be defective is

5/6 × 240 = 200 bulbs

4 0
3 years ago
You are making gift baskets. each basket will contain three different types of candles: tapers, pillars ad jar candles. tapers c
nikdorinn [45]
Let
x = the number of tapers (each coss $1)
y = the number of pillars (each costs $4)
z = the number of jars (each costs $6)

There are 8 candles in each basket, therefore
x + y + z = 8                   (1)

The cost per basket is $24, therefore
x + 4y + 6z = 24             (2)

The number of tapers equals the sum of pillars and jars, therefore
x = y + z                          (3)

Substitute (3) into (1) and into (2).
y + z + y + z = 8
2y + 2z = 8
y + z = 4                           (4)

y + z + 4y + 6z = 24
5y + 7z = 24                     (5)
From (4), y = 4 -z. Substitute into (5).
5(4 - z) + 7z = 24
2z + 20 = 24
2z = 4
z = 2
y = 4 - z = 4 - 2 = 2
x = y + z = 2 + 2 = 4

Answer: 4 tapers, 2 pillars, 2 jars.
4 0
3 years ago
A submarine at a depth of -2 2/3 feet descended 5 1/2 feet. How many feet must the submarine rise to reach the surface? Explain
vladimir2022 [97]

Original position of the submarine below the Surface = -2 2/3= -8/3

Submarine at a depth of -2 2/3 feet descended by 5 1/2 feet.

So new position of the Submarine = \frac{-8}{3}-\frac{11}{2}\\\\  = \frac {-16 - 33}{2}\\\\  = \frac{-49}{6}

To Reach the surface submarine must rise = 0-(-49/6)

As seen from the equation the two negative sign [(-)(-)] will change into a positive sign.

At the surface the position of the submarine = +49/6 feet

5 0
3 years ago
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