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kolbaska11 [484]
4 years ago
5

Point F is on line segment \overline{EG} EG . Given FG=8,FG=8, EF=2x+4,EF=2x+4, and EG=4x-10,EG=4x−10, determine the numerical l

ength of \overline{EF}. EF .
Mathematics
1 answer:
Leokris [45]4 years ago
3 0

Answer:

26 units

Step-by-step explanation:

If point F is on the line segment EG, then EF+FG = EG

Given

FG=8,

EF=2x+4

EG=4x−10

Substitute the given values into the formula;

2x+4+8 = 4x−10

2x+12 = 4x-10

collect like terms

2x-4x = -10-12

-2x = -22

x = 22/2

x =11

Since EF = 2x+4

EF = 2(11)+4

EF = 22+4

EF = 26

Hence the numerical length of EF is 26 units

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Answer:

a) Classical

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Step-by-step explanation:

a) Classical probability: In classical probability, all the events have the same probability. When flipping a coin, the probability of getting tails is the same as the probability of getting tails, therefore, the probability of both events is 50%.

b) Subjective probability: Subjective probability is derived from a personal judgement based on previous experiences. In this case, John would be calculating his probability of receiving A's based on his previous semesters.

c) Empirical probability: is the ratio between the number of outcomes a scenario happens and the total of trials in an ACTUAL EXPERIMENT. In this case, the reporter would be calculating this probability based on his previous experiences attending actual conferences.

5 0
3 years ago
Estimate:<br> 19 + 15.76 =<br> ..
const2013 [10]
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7 0
3 years ago
What algebraic expression must be added to the sum of
user100 [1]

Answer:

We need to add the expression:  4x^2-16

Step-by-step explanation:

As the first step, add the first two polynomials listed in order to find what their sum is. Do such by combining like terms:

3x^2+4x+8\,+ (2x^2-6x+3) =5x^2-2x+11

now, you need to find another polynomial (let's call it P(x)) such that added to the one we just found above, will render 9x^2-2x-5 as a result.

Putting this phrase in mathematical terms, we write:

5x^2-2x+11\,+ P(x) = 9x^2-2x-5

Now we solve for this unknown P(x) in this equation, by subtracting each of the terms that are accompanying it on the left side of the equation. We do one at a time for clarity:

5x^2-2x+11\,+ P(x) = 9x^2-2x-5\\-2x+11+P(x)=9x^2-5x^2-2x-5\\-2x+11+P(x)=4x^2-2x-5\\11+P(x)=4x^2-2x+2x-5\\11+P(x)=4x^2-5\\P(x)=4x^2-5-11\\P(x)=4x^2-16

Therefore, the expression we need to add is: 4x^2-16

8 0
4 years ago
a reduced fat cookie contains 11g of fat per serving. in order for food to be termed 'reduced fat', it must have at least 20% le
Svetllana [295]

Personally, I did this in a kinda weird way but I think that it should be correct

-How I figured the answer out-

I took 11g and wrote 80% next to it, because after all it has 80% less fat than the regular cookie.

Then, I scaled it down to 10% by dividing by 8, which got me

1.375g = 10%

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-The answer-

13.75g   (don't forget to write the units)

Have a great day :)

6 0
3 years ago
2. What is the x-intercept of the equation 4x+2y=16? What is the y-intercept?
Natali5045456 [20]

Answer:

x= −1 /2 y+4;all real numbers are solutions

Step-by-step explanation:

x= −1 /2 y+4

4x+2y=16

4(-1/2y+4)+2y=16

all real numbers are solutions

3 0
3 years ago
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