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iren2701 [21]
4 years ago
15

If His the midpoint of FH,find FG. 11x-7=3×+9

Mathematics
1 answer:
Sphinxa [80]4 years ago
5 0

we know B is the midpoint, thus it cuts AC into two equal halves.

\bf \underset{\textit{\Large 8x - 20}}{\boxed{A}\stackrel{3x-1}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{3x-1}{\rule[0.35em]{10em}{0.25pt}}\boxed{C}} \\\\\\ (3x-1)+(3x-1) = 8x-20\implies 6x-2=8x-20\implies -2=2x-20 \\\\\\ 18=2x\implies \cfrac{18}{2}=x\implies \blacktriangleright 9=x \blacktriangleleft \\\\\\ BC=3x-1\implies BC=3(9)-1\implies \blacktriangleright BC=26 \blacktriangleleft

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Which equation is represented by the graph below?
LuckyWell [14K]

Answer:

Step-by-step explanation:

Hello

A (5;2)

B (-1;-7)

y = ax + b

2 = 5a + b

-7 = -a + b

2 - (-7) = 5a - (-a) + b - b

2 + 7 = 5a + a

9 = 6a

a = 9/6

a = 3/2

2 = 3/2 * 5 + b

b = 2 - 15/2

b = 4/2 - 15/2

b = 11/2

y = 3/2 x + 11/2

y+1= 3/2(x-4)

y + 1 = 3/2 x - 6

y = 3/2 x - 6 - 1

y = 3/2 x - 7 => no

y-4= 3/2(x+1)

y - 4 = 3/2 x + 3/2

y = 3/2 x + 3/2 + 4

y = 3/2 x + 3/2 + 8/2

y = 3/2 x + 11/2 => yes

y+4= 3/2(x-1)

y + 4 = 3/2 x - 3/2

y = 3/2 x - 3/2 - 4

y = 3/2 x - 3/2 - 8/2

y = 3/2 x - 11/2 => no

y-1= 3/2 (x+4)

y - 1 = 3/2 x + 6

y = 3/2 x + 6 + 1

y = 3/2 x + 7 => no

5 0
3 years ago
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I would be interested, they help because they allow you to see how much you can use for whatever it is you need. An example would be how much money you can spend per month to still have enough for your bills
4 0
3 years ago
A certain math teachers likes to keep a box of prizes to distribute to students. The math teacher likes to keep at least twice a
Law Incorporation [45]

Option C

Math teacher would need to buy 130 prizes

<em><u>Solution:</u></em>

Given that,

Math teacher currently has 109 students and the box has 88 prizes in it

The math teacher likes to keep at least twice as many prizes in the box as she has students

So, she wants the number of prizes to be twice the number of students

Therefore,

number of prizes = 2 x 109 students

number of prizes = 2 x 109 = 218 prizes

The box has 88 prizes in it

Therefore, number of prizes she would need to buy is:

⇒ 218 - 88 = 130

Thus she would need to buy 130 prizes

3 0
3 years ago
Y = - 3x + 6
dusya [7]

Answer:

Step-by-step explanation:

systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.

7 0
3 years ago
Which statement about the polygons is true?
tatyana61 [14]

Polygon A is similar to Polygon B because Polygon B is a dilation of Polygon A.

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