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3 years ago

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 not flip as we are dividing both sides by a positive number.

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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

Iteru [2.4K]

Answer:

D $19.62

Step-by-step explanation:

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15+1.35=16.35

16.35+20%=19.62

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3 years ago

Perform the indicated operation. Be sure the answer is reduced. 3/n^2-9 + 7/3-n =

Aleks04 [339]

This is a basic algebraic fraction question

Step 1: Factor n2-9

Step 2: Rewrite the second fraction

Step 3: Write all the numerators under the least common denominator

Step 4: Expand bracket

Step 5: Collect like terms

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3 years ago

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aleksley [76]

Answer:

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Step-by-step explanation:

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3 years ago

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:

Step(i):-

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

Step(ii):-

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

Step(iii):-

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