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Montano1993 [528]

2 years ago

15

1. m∠ABD=50°, m∠DBC=40° Given 2. m∠ABD+m∠DBC=m∠ABC Response area 3. Response area Substitution Property of Equality 4. Response

area Simplifying 5. ∠ABC is a right angle. Response area 6. △ABC is a right triangle. Definition of right triangle

1 answer:

galina1969 [7]2 years ago

6 0

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

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<img src="https://tex.z-dn.net/?f=9%20-%20%20%5Csqrt%7B%20-%2064%7D%20" id="TexFormula1" title="9 - \sqrt{ - 64} " alt="9 - \s

siniylev [52]

$A)9-8i$

Explanation

$9-\sqrt[]{-64}$

Step 1

Let's remember that

A complex number is an object of the form

$a+bi$

where a and b are real numbers and

$\begin{gathered} i^2=-1 \\ i=\sqrt[]{-1} \end{gathered}$

so

$\begin{gathered} 9-\sqrt[]{-64} \\ 9-\sqrt[]{-1\cdot64} \\ 9-\sqrt[]{-1}\sqrt[]{64} \\ 9-8\sqrt[]{-1} \\ 9-8i \end{gathered}$

therefore, the answer is

$A)9-8i$

I hope this helps you

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How to solve this problem

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L-5l+l9l=

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