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horsena [70]
3 years ago
12

Solve X showing every step​

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

no solution

Step-by-step explanation:

2x-5=8x+7-6x

2x-5=2x+7

-5=7

Not true so no solution

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One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference
Mars2501 [29]

Answer:

16^\circ, 88^\circ, 76^\circ

Step-by-step explanation:

Given a triangle.

One of the angles is 8^\circ more than 5 times of one angle.

Third angle is 4^\circ more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = x^\circ

As per question statement, second angle = 5x^\circ + 8^\circ

And third angle = 5x^\circ + 8^\circ - x^\circ + 4^\circ = (4x+12)^\circ

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to 180^\circ.

x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16

Therefore, the first angle = x^\circ = 16^\circ

The second angle = 5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ

The third angle = 4x+12 = 4\times 16 + 12 = 76^\circ

Therefore, the angles are 16^\circ, 88^\circ, 76^\circ.

3 0
3 years ago
To determine the width of a​ river, forestry workers place markers on opposite sides of the river at points A and B. A third mar
docker41 [41]

Answer:

x = 6,8 m

Step-by-step explanation: See attached figure

We have to find   the river width   CD =  x

In triangle ABC  and by law of sin

Sum of inside angles in a triangle  =  180⁰

Then    ∠ ABC  + ∠CAB  + ∠BCA    =  180⁰

∠ ABC  =  55⁰

∠CAB   =  117⁰

Then     ∠BCA  = 8⁰

We apply angles sinus law  in that triangle to get b

45/sin55⁰  = b/ sin8⁰                   sin 55⁰  =  0,819152    from tables

                                                     sin 8 ⁰   =  0,139173

                                                           b  =  45  m

By subtitution

45/0,819152    = b / 0,139173

b  =   45* 0,139173  /0,819152

b  =  7,6454  m

Now we change to triangle BAD   and apply again angles sinus law

b/sin90⁰  =  x/sin 63                                   sin 90⁰   =  1      b  = 7,6454  m

                                                                    sin 63⁰   =  0,891007

By subtitution

7,6454/ 1  =  x / 0,891007

x = 7,6454*0,891007

x = 6,8 m

7 0
4 years ago
Need HELP plzzzzzzzzz
garik1379 [7]

Answer:

answer = 130 degree.

Step-by-step explanation:

I hope is correct.

3 0
3 years ago
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What is the sum of the first 13 terms of the given geometric sequence:<br> 1,2,4,8,16,
solniwko [45]

Answer:

Answer in the photo

Step-by-step explanation:

4 0
3 years ago
the table shows data from a survey about the number times families are restaurants during the week as families are either from R
miv72 [106K]

Answer:

wait i just had this question the answer for me was The Rome data center is  the mean and The New York data center is the median

Step-by-step explanation:

8 0
3 years ago
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