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Salsk061 [2.6K]
3 years ago
13

Point G is between F and H on line FH. Use the given information solve for x and then find FG AND GH.

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

X=6

FG=31

GH=22

Step-by-step explanation:

Equation: FG+GH=FH

rewrite with values

4x+7 + 5x-8 = 53

combine like terms

9x-1 = 53

add 1 to both sides

9x = 54

divide by 9

x = 6

use 6 end solve for FG and GH

FG = 4(6) + 7 = 31

GH = 5(6) - 8 = 22

Check your answers.. Do FG and GH add up to equal FH (53)?

31 + 22 = 53

I hope this made sense.

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21y+7x=56? what is the value of X
PSYCHO15rus [73]

Answer:

x = 8 - 3y

Step-by-step explanation:

21y+7x=56\\\\21y-21y+7x=56-21y\\\\7x=56-21y\\\\\frac{7x=56-21y}{7}\\\\\boxed{x=8-3y}

Hope this helps.

4 0
3 years ago
For a perfectly symmetrical distribution with a mean of 50, what is the value of the median?
Lelechka [254]

In a set of data, if the data is perfectly symmetrical then the mean is equal to the median. In this case, the median would be 50.

For example, consider the data set: {25, 50, 75}

The mean is going to be 50 because \frac{25+50+75}{3} = 50

The median is also 50 because that is the middle number when ordered numerically.

Hope this helped! Let me know if you have any more questions.

3 0
3 years ago
The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.
Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

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y = x² + 8x + 7

4 0
3 years ago
PLEASE HELP ANGLE OF A TRIANGLE
Vikki [24]

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

8 0
3 years ago
Read 2 more answers
A 12-foot long ladder is leaning against a wall. It make sure an angle of 40 degrees with the ground. write an equation that can
Olin [163]

Answer:

I think it is 11 Feet

Step-by-step explanation:

5 0
3 years ago
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