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11Alexandr11 [23.1K]
3 years ago
12

The coordinates of triangle FGH are F(2, 4), G(5, −9) and H(−3, −4). Which statement proves that triangle FGH is a right triangl

e? (m = y2 - y1 x2 - x1 )
Mathematics
2 answers:
Kipish [7]3 years ago
6 0
A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.

In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:

m = (y₂ - y₁) / (x₂ - x₁)

m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8

Since m(FH) and <span>m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.</span>
enot [183]3 years ago
6 0

The answer is C)The slope of GH = − 5/ 8 , and the slope of FH =  8/ 5 ; therefore, GH ⊥ FH.

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3 years ago
I don’t know how to solve this please help I’ll give you 60 points
goldfiish [28.3K]

Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

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3 years ago
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Correctly describe the slope of the graph of 2x + 5y = 6?
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Answer:

2x + 5y = 6z

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6 0
3 years ago
35% of the students at charles drew middle school are 6th graders if there are 84 sixth graders what is the total number of stud
Juliette [100K]

Answer: The total number of student in the school  = 240.

Step-by-step explanation:

Let x be the total number of students in the school.

Given: 35% of the students at Charles drew middle school are 6th graders.

i.e. Number of sixth graders = 35% of x = 0.35x   [35% = 0.35]

Since there are 84 sixth graders in the school,

So  0.35x=84

Divide both sides by 0.35, we get

x=\dfrac{84}{0.35}=\dfrac{84\times100}{35}=240

Hence, the total number of student in the school  = 240.

6 0
3 years ago
Find the mean of 3,2,4,6,5,6,1,7,9,8,10​
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Answer:

5\frac{6}{11}

Step-by-step explanation:

Number of Values = 11.

Mean = Sum of values / Number of Values

= \frac{3+2+4+6+5+6+1+7+9+8+10}{11} \\=\frac{61}{11} \\= 5\frac{6}{11}

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2 years ago
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