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ser-zykov [4K]
4 years ago
10

In the solution of the equation 5-3x=2x+9, 3x is added to the equation first. Which of the following should be done next? 1. add

-9 2. add -5 3.add -2x
Mathematics
1 answer:
sergiy2304 [10]4 years ago
5 0
5-3x=2x+9
5 = 2x + 3x + 9
Next step, add -9 ANSWER
5 + (-9) = 5x
-4 = 5x
x = 5/-4
x = -1 1/4
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Find the value of x to the nearest tenth tan x =5
tankabanditka [31]

Answer:

x ≈ 78.7° (in degree)

x ≈ 1.4      (in radians)

Step-by-step explanation:

Given in the question an equation

tan(x) = 5

       x =  tan^{1}(5)

       x = 78.69

       x ≈ 78.7°

In radian:

x ≈ 1.4

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4 years ago
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3 years ago
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Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ

$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

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4 years ago
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inna [77]
A)

A=8\qquad\qquad B=12.5\\\\\\d(A,B)=|12.5-8|=|4.5|=\boxed{4.5\,\text{cm}}

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C=?\\\\\\d(C,A)=2\cdot d(C,B)\\\\|A-C|=2\cdot|B-C|\\\\|8-C|=2\cdot|12.5-C|\\\\&#10;|8-C|=|25-2C|\\\\\\8-C=25-2C\qquad\vee\qquad8-C=-(25-2C)\\\\-C+2C=25-8\qquad\vee\qquad8-C=-25+2C\\\\C=17\qquad\vee\qquad8+25=2C+C\\\\C=17\qquad\vee\qquad33=3C\quad|:3\\\\\boxed{C=17\qquad\vee\qquad C=11}

Mark 11 or 17.
4 0
3 years ago
A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour.
Thepotemich [5.8K]

The time for the job for which the two company are the same is 16

<h3>How to form the equation and find the cost?</h3>

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

  • y = total cost
  • x = time

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x =  345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

learn more on equation here: brainly.com/question/2072580

4 0
3 years ago
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