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Nonamiya [84]
3 years ago
7

Point G is on line segment FH. Given FH = 4x, GH = x, and FG = 2x + 10,

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

FG=11

Step-by-step explanation:

kondaur [170]3 years ago
4 0

Answer:

30 units

Step-by-step explanation:

If point G is on line segment FH, then point G lies between points F and H.

Segment Addition Postulate states that given 2 points F and H, a third point G lies on the line segment FH if and only if the distances between the points satisfy the equation FG + GH = FH.

By segment addition postulate,

FG+GH=FH

Given

FH = 4x,

GH = x,

FG = 2x + 10,

then

4x=x+2x+10\\ \\4x=3x+10\\ \\4x-3x=10\\ \\x=10\\ \\FG=2x+10=2\cdot 10+10=30\ units

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How do you do this question?
erik [133]

Step-by-step explanation:

Use the first fundamental theorem of calculus.

∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0

5 0
2 years ago
Triangle ABC is similar to triangle DEF.
Sav [38]

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

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3/8 = 15/y

15*8=120

120/3= 40

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7 0
2 years ago
What transformation to the linear parent function, f(x) = x, gives the function g(x) = x + 8?
NeTakaya

Answer:

Shift 8 units up

Step-by-step explanation:

The given function is;

f(x)=x

and

g(x)=x+8

The function f(x) has its y-intercept at y=0.

The function g(x)=x+8 has its y-intercept at y=8

This implies that; the linear parent function f(x)=x is shifted up 8 units to obtain g(x)=x+8.

5 0
3 years ago
79.99 - 12% + 8%<br> please dhow your work<br> thank you<br> And be safe
Sergeu [11.5K]

Answer:

79.95

Step-by-step explanation:

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12% becomes -0.12

8% becomes 0.08

Now, let's solve.

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Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.

Evaluating 79.87 + 0.08, we get the final answer, 79.95.

8 0
2 years ago
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8 0
3 years ago
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