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alexdok [17]
3 years ago
7

What is the value of X?

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

∆ABC similar to ∆CBD

DB/AC = CB/AB

\frac{x}{7.5}  =  \frac{7.5}{x + 3}  \\ x(x + 3) =  {7.5}^{2}  =  { (\frac{15}{2}) }^{2}  \\  {x}^{2}  + 3x =  \frac{225}{4}  \\ 4 {x}^{2}  + 12x = 225 \\ 4 {x}^{2}  + 12x + 9 = 216 \\  {(2x + 3)}^{2}  = 216 \\ 2x + 3 = 6 \sqrt{6}  \\ x =  - 1.5 + 3 \sqrt{6}

approximately 6.1485

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What is 9c+90<-27?????​
antoniya [11.8K]
<h3>Answer:  c < -13</h3>

========================================

Work Shown:

9c + 90 < -27

9c + 90 - 90 < -27 - 90 .... see note 1

9c < -117

9c/9 < -117/9 ... see note 2

c < -13

-----------

note 1: I'm subtracting 90 from both sides to undo the "plus 90" that is happening on the left side

note 2: I divided both sides by 9 to undo the multiplication. The expression 9c is the same as 9*c or "9 times c". The inequality sign will <u>not</u> flip as we are dividing both sides by a positive number.

5 0
3 years ago
Elliot ordered the special at the Even Steven Diner, which included a salad, an entrée, and a drink for $15. The sales tax was 9
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D $19.62

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15+1.35=16.35

16.35+20%=19.62

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Perform the indicated operation. Be sure the answer is reduced.<br> 3/n^2-9 + 7/3-n =
Aleks04 [339]

This is a basic algebraic fraction question

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Read 2 more answers
Please help if you can.​
weeeeeb [17]

Answer:

1) Slope of the line  y = \frac{-3}{2}

2)Slope of the line m = 2

3) slope of the line m = -5

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that equation of the straight line 3 x+2 y =0

The slope - intercept form    y = mx +c

                                              2 y = - 3x

                                              y = \frac{-3}{2} x

Slope of the line  y = \frac{-3}{2}

<u><em>Step(ii):-</em></u>

Given that equation of the straight line 2 x- y = 3

The slope - intercept form    y = mx +c

                                              y = 2x -3

slope of the line m = 2

<u><em>Step(iii):-</em></u>

Given that equation of the straight line 5 x + y = 10

The slope - intercept form    y = mx +c

                                              y = -5x +10

slope of the line m = -5

8 0
3 years ago
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