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Nikitich [7]
2 years ago
13

Identify the value of x that makes each pair of ratios equivalent. 2:x and 12:18

Mathematics
1 answer:
m_a_m_a [10]2 years ago
7 0

Given:

Two ratios 2:x and 12:18 are equivalent.

To find:

The value of x.

Solution:

We have,

2:x\equiv 12:18

It means,

\dfrac{2}{x}=\dfrac{12}{18}

2\times 18=12\times x

36=12x

Divide both sides by 12.

\dfrac{36}{12}=\dfrac{12x}{12}

3=x

Therefore, the value of x is 3.

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Is -55.505 a rational number?
earnstyle [38]

Answer:

yes

Step-by-step explanation:

Any number that can be written in p/q from is a rational number

4 0
2 years ago
(x+d)(x+e)=x^2+fx+33
victus00 [196]

Answer:

f=14 or f=34

Step-by-step explanation:

(x+d)(x+e) =x^2 +fx+33, d, e, f>0

x^2 +xe+dx+de=x^2+fx+33

x^2+(e+d)x+de=x^2 +fx+33 that

e+d=f and d*e=33, d=33/e

e+33/e=f

33=1*33 or 33=3*11

If e=1,d=33 then f=34

If e=3*,d=11, then f=14

4 0
3 years ago
Which number line below correctly represents the expression -3 + 4?
Archy [21]

Answer:

1st answer

Step-by-step explanation:

First you subrtract 3 from 0 then add 4 to -3

8 0
3 years ago
Plzzz help asapppppp what is the inverse of f if f(x)=^3 sqrt x-5
jasenka [17]

Hello from MrBillDoesMath!

Answer:

The first choice, y = x^3 + 5


Discussion:

Let

y = (x-5) ^ (1/3)

To find the inverse, sway x and y and then solve for y:

x = ( y - 5 )^(1/3)         =>             cube both sides

x^3 = y - 5                  =>             add 5 to both sides

x^3 + 5 = y


So the inverse is  x^3 + 5, which is the first choice


Thank you,

MrB

4 0
3 years ago
Read 2 more answers
Find m∠DEC (the picture is not drawn to scale).
pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

<u>(x - 45) + (x - 12) = x</u>

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x                             Remove parenthesis

2x - 57 = x                                       Combine like terms

2x = x + 57                                      Add 57 to both sides

<u>x = 57</u><u>                                             Subtract x from both sides</u>

Finding m∠D:

x - 45 = ?

<u>57 - 45 = </u><u>12º                                          </u>

Finding m∠C:

x - 12 = ?

<u>57 - 12 = </u><u>45º                                           </u>

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

8 0
3 years ago
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