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solniwko [45]
3 years ago
15

3(x+4)=2x+6 can you help me solve this

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Answer:

x=-6

Step-by-step explanation:

3(x+4)=2x+6

3x+12=2x+6

x+12=6

x=-6

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Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart be
deff fn [24]

Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

<h3>What are congruent angles about?</h3>

An angle is known to be Congruent if its angles do have equal measure."

Note that question, In the said figure of the angles (image attached),

m ∠LOM = m ∠JKI  (congruent angles)              taken as 1      

m ∠MON = m ∠IKH  (congruent angles)             taken as 2  

The one should sum up both the side angle  of m ∠MON in (1) we obtain;

m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Then one should replace angle  m ∠MON = m ∠IKH from (eqn. 2)  on right hand side and then it will be:

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH      taken as (3)

Then:

m ∠LOM + m ∠MON = m ∠LON  ( M is said to be the interior point of ∠LON)    taken as (4)

Since m ∠JKI + m ∠IKH = m ∠HKJ  ( I is said to be the interior point of ∠HKJ)            taken as number (5)

Using Number (3) , (4) and (5)  in the image attached, we obtained:

m ∠LON = m ∠HKJ  (Congruent angles)

Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI,  if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.

Learn more about Congruent angles here

brainly.com/question/24997046

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6 0
1 year ago
In the given figure, ΔABC is a right triangle.
ch4aika [34]

The true statement about right-angle triangle ABC is that: A. sin(A) = cos(C) and cos(A) = sin(C).

<h3>How to apply basic trigonometry?</h3>

In order to determine the angles, we would apply basic trigonometry. From the diagram of the right-angled triangle shown below, we can deduce the following parameters:

  • Angle (θ) = 45°.
  • Opposite (Opp) side = a.
  • Hypotenuse (Hyp) = c.
  • Adjacent (Adj) side = b.

By applying the basic trigonometry functions, we have:

sin(A) = Opp/Hyp = a/c.

sin(C) = Opp/Hyp = c/b.

cos(A) = Adj/Hyp = c/b.

cos(C) = Adj/Hyp = a/c.

From the above, we can logically deduce that sin(A) is equal to cos(C) and cos(A) is equal to sin(C).

Read more on sine trigonometry here: brainly.com/question/20367642

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5 0
2 years ago
How to make 20/12 into a whole number and a fraction?
Ludmilka [50]

Hey there,

The whole number(or mixed fraction) would be: 1 2/3

The improper fraction would be: 5/3

:)

6 0
3 years ago
Read 2 more answers
WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t
neonofarm [45]

Answer:

y = -3x+11

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

y = mx+b

m: \text{slope}\\b: \text{y-intercept}

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}   $

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take (3,2) as Point 1 and (4,-1) as Point 2.

So, x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}   $

$m=\frac{-3}{1}=-3 $

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

y = -3x+b

Using the points, take Point 1 as an example, it says that when x = 3, y = 2, so plugging it in the equation:

2 = -3(3)+b\\2 = -9+b\\11 = b

Taking the Point 2

-1 = -3(4)+b\\-1 = -12+b\\11 = b

Now we found b! The equation is complete!

y = -3x+11

6 0
3 years ago
Yesterday the Bandits scored 56 points in their basketball game. Today they scored 42 points. What is the percent decrease of Th
FromTheMoon [43]

Answer:

x = 25% percent decrease

Step-by-step explanation:

For this problem we will use percentage calculation and make proportion:

Initial value 56 points is worth 100%

Second value 56 - 42 = 14 points of decrease is worth x%

56 : 14 = 100 : x

When we multiply external and internal members we get:

56 · x = 14 · 100 => x = 1400/56 = 25%

x = 25% percent decrease

God with you!!!


5 0
2 years ago
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