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Keith_Richards [23]
4 years ago
14

triangle FGH is an equilateral triangle with FG=x+5,GH=3x-9,and FH=2x-2 . find x and the measure of each side

Mathematics
2 answers:
Zigmanuir [339]4 years ago
6 0
The sides of an equilateral triangle are equal length, so ...
  GH = FH
  3x-9 = 2x-2
  x = 7 . . . . . . . . add 9-2x

Then the side lengths are
  FG = x+5
  FG = 7 +5 = 12

x = 7
FG = GH = FH = 12
Ray Of Light [21]4 years ago
4 0
Hello

the answer to this is going to be 12


hope this helps 
have a good day
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Solve for x: 6 x2 + 2x - 3 2 = 0
Zigmanuir [339]

I think the answer is 10 because:

6x2=12

12+2x-32=0

make the like terms together = 12-32+2x=0

= -20+2x=0

again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]

so, 2x=20

x=20/2 [ multiplication will change into division when it goes to the other side]

therefore x=10

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Explain how to round 14 5/6 to the nearest whole number, using the number line as a tool. Use complete sentences in your answer.
tatuchka [14]

Answer:

15

Step-by-step explanation:

We know that a half is equal to 3/6. Therefore 5/6 is higher up on the number line than 0.5, and it should be rounded up

4 0
3 years ago
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The top of a gate post is in the shape of a square pyramid. The height of the pyramid is 5 inches and each side of the base is 7
Delvig [45]

Answer:

91.3 in³

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = \frac{1}{3}Bh where B=area of the base and h=height of the pyramid

Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:

A = 7.4 x 7.4 = 54.76 in²

Multiply the area of the base x height of the pyramid:  (54.76 x 5) = 273.8

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3 years ago
Use the quadratic expression 15x2+14x−16 to answer the questions.
marusya05 [52]

Answer:

A: second one or middle choice

B: (5x + 8)(3x - 2)

Step-by-step explanation:

First question (A)

It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.

It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.

So the A answer is the second one. You need two different binomials to factor this.

Second Question

You could try all the possible pairings and solve them by brute force.

The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.

There must be a shorter way.

14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.

(5x + 8)(3x - 2)

The middle term is 8*3x - 2*5x = 14x and that looks like the answer.

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Step-by-step explanation:

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