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Levart [38]
3 years ago
12

If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.

Mathematics
1 answer:
Tom [10]3 years ago
5 0
EG is the whole thing.
This means that EF + FG = EG

<span>EF=2x-5
</span><span>FG=3x-6
</span><span>EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
</span>EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
<span>d. x = 6, EF = 7, FG = 12</span>
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Brilliant_brown [7]

9514 1404 393

Answer:

  (b)  93°

Step-by-step explanation:

Assuming the line containing YT is a diameter, the measure of angle UYT is ...

  180° -87° = 93° = m∠UYT

8 0
3 years ago
According to the Department of Transportation, 27% of domestic flights were delayed in the last year at JFK airport. Five flight
Mars2501 [29]

Answer:

The probability that all the five flights are delayed is 0.2073.

Step-by-step explanation:

Let <em>X</em> = number of domestic flights delayed at JFK airport.

The probability of a domestic flight being delayed at the JFK airport is, P (X) = <em>p</em> = 0.27.

A random sample of <em>n</em> = 5 flights are selected at JFK airport.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={5\choose x}0.27^{x}(1-0.27)^{5-x};\ x=0,1,2...

Compute the probability that all the five flights are delayed as follows:

P(X=5)={5\choose 5}0.27^{5}(1-0.27)^{5-5}=1\times 1\times 0.207307=0.2073

Thus, the probability that all the five flights are delayed is 0.2073.

4 0
3 years ago
!NEED HELP URGENTLY!<br> p − 10p + -5p + 14p − -9p − 2 = -20
bekas [8.4K]

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

-9p + 9p + 9p = -20 + 2

9p = -18

p = -2

7 0
2 years ago
Can anyone help me with this equation?
beks73 [17]

Answer:

false

Step-by-step explanation:

5+2=15÷(3+2)

5+2=15÷5

7=15÷5

7=3

false because they are different

4 0
2 years ago
Read 2 more answers
Graph -5x-8y=40
Triss [41]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

-5x-8y=40

This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:

1) For x=0→ -5(0)-8y=40

0-8y=40

-8y=40

Dividing both sides of the equation by -8:

-8y/(-8)=40/(-8)

y=-5

Point=(x,y)→Point=(0,-5)


2) For y=0→ -5x-8(0)=40

-5x-0=40

-5x=40

Dividing both sides of the equation by -5:

-5x/(-5)=40/(-5)

x=-8

Point=(x,y)→Point=(-8,0)


With these two points (0,-5) and (-8,0) we can draw the right line.



8 0
3 years ago
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