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oksano4ka [1.4K]
2 years ago
9

If G is the midpoint of FH find FGfg=11x-7 gh= 3x+9

Mathematics
1 answer:
gavmur [86]2 years ago
3 0

Solution:

we are given that

If G is the midpoint of FH,  it mean that

FG=GH

we are also given that

FG=11x-7 ,GH= 3x+9

So we can write

11x-7=3x+9\\
\\
11x-3x=7+9\\
\\
8x=16\\
\\
x=2

So FG=11x-7=11*\frac{1}{2}-7=11*2-7=15


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Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
You and a friend are playing a game by tossing two coins. If both coins land
Novosadov [1.4K]

c. No. You have a probability of winning, while your friend has a
probability of winning.
Or it’s A
3 0
2 years ago
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PLEASE HURRY!
exis [7]

Answer:

Option C. x = 5

Step-by-step explanation:

To solve this question we should always keep these two points in our mind.

1). In-center of a triangle is formed by the intersection of the angle bisectors of all interior angles of the triangle.

2). In-center of a triangle is equidistant from all three sides of the triangle.

From the figure attached,

In ΔSRT,

∠ASZ ≅ ∠ZSB [ SZ is an angle bisector of angle ASB]

5x - 9 = 16 [ given in the question]

5x = 16 + 9

5x = 25

x = \frac{25}{5}

x = 5

Therefore, Option C. is the answer.

5 0
2 years ago
Read 2 more answers
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for
saul85 [17]

Answer:

y hat = 2114.20 + 18.96x

Step-by-step explanation:

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

7 0
2 years ago
What is the equation of the following graph?
astraxan [27]

This looks like the base graph of tangent x that is shifted 3 units up.

So the graph is simply:

y = tanx + 3

3 0
2 years ago
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