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Black_prince [1.1K]
2 years ago
13

If 24= 2f+3f+f, find f​

Mathematics
2 answers:
kupik [55]2 years ago
4 0

\huge\textsf{Hey there!}

\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}

\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark

~\large\textsf{Good luck on your assignment and your day!}

~\frak{Amphitrite1040:)}

VashaNatasha [74]2 years ago
3 0

Answer:

6f = 24

f = 4

Step-by-step explanation:

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To solve this problem you must apply the proccedure shown below:
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 α=60°
 opposite=x
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 2. When you substitute the values, you obtain:
 Sin(60°)=x/6
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6 0
2 years ago
HIJK is a parallelogram because the midpoint of both diagonals is ____ which means the diagonals bisect each other.
just olya [345]
ANSWER

The midpoint of both diagonals is

(1,0)
EXPLANATION

We can use either diagonals to determine the midpoint.

We use the midpoint formula

( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )

Let us use the first diagonals H(-2,2) and J(4,-2)

( \frac{ - 2 + 4}{2} , \frac{ - 2+ 2}{2} )

( \frac{ 2}{2} , \frac{ 0}{2} )

( 1, 0)

Using the second diagonals also gives,

( \frac{ - 2 + 4}{2} , \frac{ - 3+ 3}{2} )

( \frac{ 2}{2} , \frac{ 0}{2} )

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4 0
2 years ago
Read 2 more answers
Three identical circular coins are lined up in a row as shown (the 10s represent their value, not a length). The distance betwee
son4ous [18]

Answer:

Diameter of a circle = 1.6 Cm

Step-by-step explanation:

Given:

Distance between first and third coins = 3.2 cm

Find:

Diameter of the coins = ?​

Computation:

Number of circle = 3

In the given figure,distance between the first and third coins is 3.2 cm.

So,

Distance = 1st circle radius + 2nd circle diameter + 3rd circle radius

Distance = 1st circle radius + 2 (radius) + 3rd circle radius

Distance = R + 2R + R

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Radius = 0.8 Cm

Diameter of a circle = 2 × radius

Diameter of a circle = 2 × 0.8

Diameter of a circle = 1.6 Cm

3 0
2 years ago
If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

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Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp
Mnenie [13.5K]

Answer:

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Step-by-step explanation:

A bulletin board has been shown in the figure below.

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and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

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Similarly in triangle <em>BDC</em>,

BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25

BD=\sqrt{56.25} = 7.5 feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

3 0
2 years ago
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