All categories

2 years ago

Point F is on line segment EG given EG=5x + 7, EF=5x, and FG=2x - 7, determine the numerical length of FG

Mathematics

1 answer:

myrzilka [38]2 years ago

5 0

Answer:

$FG = 7$

Step-by-step explanation:

Given

$EG = 5x + 7$

$EF = 5x$

$FG = 2x - 7$

Required

Determine the length of FG

Since, F is on segment EG, then

$EG= EF + FG$

Substitute values for EG, EF and FG

$5x + 7 = 5x + 2x - 7$

Collect Like Terms

$5x - 5x - 2x = -7 - 7$

$- 2x = -14$

Solve for x

$x = -14/-2$

$x = 7$

Substitute 7 for x in $FG = 2x - 7$

$FG = 2 * 7- 7$

$FG = 14- 7$

$FG = 7$

You might be interested in

An experiment is carried out 400 times.

MissTica

Answer:

You would expect the outcome to be void 240 times

Step-by-step explanation:

1000 x 0.24

6 0

2 years ago

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

5 0

2 years ago

How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?

kondaur [170]

Answer:

X=1/4L OR 0.25L OR 250ml.

Step-by-step explanation:

8 0

1 year ago

Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patie

Keith_Richards [23]

Answer:

The probability $P(\^ p > 0.80) = 0.99957$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.90

The sample size is n = 30

Generally mean of the sampling distribution is $\mu_{\= x } = p = 0.90$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p( -p )}{n} }$

=> $\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }$

=> $\sigma = 0.03$

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

$P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )$

Generally $\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)$

$P(\^ p > 0.80) = P(Z > -3.33 )$

From the z-table $P(Z > -3.33 ) = 0.99957$

$P(\^ p > 0.80) = 0.99957$

5 0

2 years ago

Which number is greater than (>) 6.841?

icang [17]

6.842 or higher. When you line up the decimals, you see 6.842 has a 2 and 6.841 has a 1. 2 is greater than 1, more greater numbers are 6.843, 6.844, 6.845, etc.

6 0

2 years ago