Which of the following is the conjugate of a complex number with 5 as the real part and -2i as the imaginary part?

1 answer:

6 0

<span>Which of the following is the conjugate of a complex number with 5 as the real part and -2i as the imaginary part?

Conjugate of 5-2i is just 5+2i.</span>

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The sum of the ages of Kristen and Ben is 32. Four years ago Kristen was twice as old as Ben. How old are they both now?

Elan Coil [88]

Let us say that:

K = age of Kristen

B = age of Ben

From the problem, we make the equations:

eqtn 1: K + B = 32

eqtn 2: (K – 4) = 2 (B – 4)

Simplifying eqtn 2:

K – 4 = 2 B – 8

K = 2 B – 4

Plugging in this to eqtn 2:

(2 B – 4) + B = 32

3 B – 4 = 32

3 B = 36

B = 12

From eqtn 2:

K = 2 B – 4 = 2 (12) – 4 = 20

So Kristen is 20 while Ben is 12.

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3 years ago

150% of what length is 66 cm

svet-max [94.6K]

let's say is "x", thus "x" is the 100%.

we know that 66 is 150%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 66&150\\ x&100 \end{array}\implies \cfrac{66}{x}=\cfrac{150}{100}\implies \cfrac{66}{x}=\cfrac{3}{2} \\\\\\ 132=3x\implies \cfrac{132}{3}=x\implies 44=x$

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2 years ago

Using polygon STUVW what is m angle U ?

bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

$\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\$

To find :

$\angle U = x = ?$

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

$\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180$

Here we have n = 5 on substituting the values we get

$\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72$