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chubhunter [2.5K]
3 years ago
8

Draw a balanced hanger diagram for the equation 2x=4

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

Step-by-step explanation:

3360832553 ____ pass___ wZE2XQ

Crank3 years ago
6 0

Answer:

See the attached picture.

Step-by-step explanation:

I had to look up 'balanced hanger' because that was not a term from my own math education, but I found it no problem.

See the attached picture.

There are 2 x's on the left and 4 1's on the right.

This means the equation has 2 x's on the left of the equal sign and 4 1's on the right.

Each unit of different size should be in a different shape.

The idea is that the hanger 'balances', just like a set of scales, or the same way an equation balances both sides.

Hope this helps.

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10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help​
Alik [6]

Hey ! there

Answer:

  • Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

  • H² = P² + B²

<u>Where </u><u>,</u>

  • H refers to <u>Hypotenuse</u>

  • P refers to <u>Perpendicular</u>

  • B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

  • Base = <u>TE </u>

  • Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

  • Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

\quad \longmapsto \qquad \:SE {}^{2}  = TS {}^{2}  + TE {}^{2}

Substituting values :

\quad \longmapsto \qquad \:37 {}^{2}  = 35 {}^{2}  + TE {}^{2}

Simplifying it ,

\quad \longmapsto \qquad \:1369 = 1225  + TE {}^{2}

Subtracting 1225 on both sides :

\quad \longmapsto \qquad \:1369 - 1225  = \cancel{1225}  + TE {}^{2}  -  \cancel{1225}

We get ,

\quad \longmapsto \qquad \:144 = TE {}^{2}

Applying square root to both sides :

\quad \longmapsto \qquad \ \sqrt{ 144} =  \sqrt{TE {}^{2}}

We get ,

\quad \longmapsto \qquad \:     \red{\underline{\boxed{\frak{TE  = 12 \: feet}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

  • SE² = TS² + TE²

Substituting value of SE , TS and TE :

  • 37² = 35² + <u>1</u><u>2</u><u>²</u>

  • 1369 = 1225 + 144

  • 1369 = 1369

  • L.H.S = R.H.S

  • Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
6 0
2 years ago
Read 2 more answers
If the ribbon cost $0.10 per foot what is the total cost of the ribbon in dollars
WITCHER [35]
Well how long is the ribbon? I'm not asking for the dollar amount, I will answer your question if you can tell me the length of the ribbon. No one can figure it out unless you give the total length. 

7 0
3 years ago
Read 2 more answers
The diagram below shows a student using a clinometer to measure the height of a flagpole. When the student stands 40 feet away f
AVprozaik [17]
The correct answer is the flagpole is <span>33 feet high</span>.

Explanation:
Please refer to the attached picture.

We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°

Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD

Solving for BC:
BC = CD · <span>tan α
      = 40 </span>· tan (35)
      = 28 feet

In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
      = 28 + 5
      = 33

Hence, the flagpole is 33 feet high.

5 0
3 years ago
Lliana rotated trapezoid WXYZ 180° about the origin.
AfilCa [17]

Answer:

The answer to the equation is W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

Step-by-step explanation:

Because its turning 180 degrees that means its turning half the way it is. and if you look on the graph the z is Z (0, 2). which if you flip it upside down it would be (0,-2)

Also i took the test!  :)

6 0
3 years ago
Read 2 more answers
-1.32+x=1 <br> -1 -1<br><br> Not sure about this??
Ipatiy [6.2K]

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

7 0
3 years ago
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