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2 years ago

Need help ASAP! No links please, WILL REPORT.

Mathematics

1 answer:

lozanna [386]2 years ago

7 0

Step-by-step explanation:

Given,

Angle ADC = 118°

According to the question

$11x - 7 + 5x - 3 = 118$

$= > 11x - 7 + 5x = 118 + 3$

$= > 11x + 5x = 121 + 7$

$= > 16x = 128$

$= x = \frac{128}{16}$

$= > x = 8$

Now let's find the value of angle ADB

In the question it is mentioned that Angle ADB = (11x - 7)°

We know that x = 8 °

Angle ADB = (11x - 7)°

= (11 × 8 - 7)°

= (88-7)°

= 81 °

So the answer is the first option i.e. 81°.

HOPE IT HELPS YOU!!

#IndianMurga ツ

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The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

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$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

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