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leonid [27]
2 years ago
10

Find FG FG= __________________

Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

FG = 16

Step-by-step explanation:

Two pairs of consecutive are congruent so, its a kite,

Opposite sides are equal in kite so,

x + 11 = 3x + 1

or, 11 - 1 = 3x - x

or, 2x = 10

so, x = 5

FG = x + 11 = 5 + 11 = 16

You might be interested in
Solve each equation 3x^2=80
Lapatulllka [165]

Answer:

x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

or

x = \frac{\pm4\sqrt{15}}{3}

Step-by-step explanation:

Hello!

Use the quadratic formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0

3x² = 80

3x² - 80 = 0

Note, thats the value of b will be 0, as there is no "bx"

Now, solve:

  • x = \frac{-(0) \pm \sqrt{(0)^2 - 4(3)(-80)}}{2(3)}        Plug in values
  • x = \frac{\pm\sqrt{960}}{6}                              Simplify the radical (Discriminant)
  • x = \frac{\pm8\sqrt{15}}{6}                              Pull out perfect squares
  • x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}              Reduce factors

 

The solutions are x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

5 0
2 years ago
What is the maximum number of possible extreme values for the function f(x)=x^4+x^3-7x^2-x+6
notka56 [123]

A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.


(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)

3 0
3 years ago
Read 2 more answers
Logs are stacked in a pile. The bottom row has 50 logs and next to bottom row has 49 logs. Each row has one less log than the ro
Mars2501 [29]

Answer:

46 logs on the 5th row.

Step-by-step explanation:

Number of logs on the nth row is

n =  50 - (n-1)

 n = 51 - n    (so on the first row we have  51 - 1 = 50 logs).

So on the 5th row we have 51 - 5 = 46 logs.

8 0
3 years ago
a parking meter accepts only 20p coins or 50p coins.On one day, 39 coins were collected with a total value of $11.40. find how m
Snowcat [4.5K]

Answer:

x + Y = 39 or x = 39-y

20x + 50y = 1.40

20 (39 - y) + 50y = 11.40

7.80 - 20y + 50y = 11.40

30y = 11.40 - 7.80

30y = 3.60

y = 3.60/30

y = 12 50p coins were collected.

x = 39 - 12 = 27 20p coins were collected.

Proof:

20*27 + 50*12 = 11.40

5.40 + 6 = 11.40

11.40 = 11.40

I hope it helps.

6 0
2 years ago
Read 2 more answers
Please help me with this question.
mixas84 [53]

Answer:

B

Step-by-step explanation:

In a triangle, the sum of any two sides must be bigger than the third.

For the first one, 10+20=30 is not greater than 30, so this is not correct.

For B, 122+137 = 259 > 257, 257+137>122  , and 257 + 122 > 137. This works

For C, 8.6 + 2.7 = 11.3 < 12.2, so this does not work

For D, 1/6 + 1/5 = 5/(6*5) + 6/(6*5) = 5/30 + 6/30 = 11/30 < 1/2 = 15/30, so this does not work

7 0
3 years ago
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