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sammy [17]
2 years ago
6

Please answer with explanation if nonsense answers I will report so please answer properly​

Mathematics
1 answer:
alexgriva [62]2 years ago
3 0

Answer:

  • x = 2

Step-by-step explanation:

<u>We know that</u>

  • The diagonals of a rectangle are of equal length
  • The diagonals bisect each other

<u>Considering the above we have:</u>

  • EG = HF = 2JF = 2JH

<u>Substitute the given values and solve for x:</u>

  • 24x - 8 = 2*(8x + 4)
  • 24x - 8 = 16x + 8
  • 24x - 16x = 8 + 8
  • 8x = 16
  • x = 16/2
  • x = 2
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B3%7D%20%2B%20%20%5Cfrac%7B4%7D%7B6%7D%20%20%3D%20" id="TexFormula1" title=
o-na [289]

Answer:

\frac{7}{3} =2\frac{1}{3}

Step-by-step explanation:

For the problem:

\frac{5}{3} +\frac{4}{6} = ?

The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}

Now that the fractions have like denominators, add the numerators:

\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}

The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}

7 ÷ 3 = 2R1, therefore:

\frac{7}{3} =2\frac{1}{3}

3 0
2 years ago
F(x) = 3x + 2 replace f(x) with y
kirill [66]

Answer:

 -1           x - 2

f    (x) = -----------

                  3

Step-by-step explanation:

Then we have y = 3x + 2.

Next, interchange x and y, obtaining x = 3y + 2

Next, solve this result for y:  3y = x - 2; then divide both sides by 3:

y = (x-2)/3

Last, replace "y" with the inverse function label:

 -1           x - 2

f    (x) = -----------

                  3

5 0
3 years ago
A cone has a slant length of 10 and a diameter of 8. Height is unknown.
patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4  

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²  

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

6 0
3 years ago
Does the remainder round up or down to get an average whole number
sergij07 [2.7K]

Answer:

It rounds up

Step-by-step explanation:

It rounds up because it just does

8 0
3 years ago
Simplify the expression: (7 times 18 plus 45) divided by 6
neonofarm [45]

Answer:

28.5  PLEASE GIVE ME BRAINLIEST

Step-by-step explanation:

(7 x 18 + 45) ÷ 6

171 ÷ 6 = 28.5

8 0
3 years ago
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