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seropon [69]
2 years ago
13

Solve for x in the diagram below

Mathematics
1 answer:
ra1l [238]2 years ago
7 0

\huge\text{Hey there!}

\huge\textbf{Equation:}

\text{3x = 120}^\circ

\huge\textbf{Simplifying:}

\text{3x = 120}^\circ

\huge\textbf{Divide \boxed{\bf 3} to both sides:}

\rm{\dfrac{3x}{3} = \dfrac{120}{3}}

\huge\textbf{Simplify it:}

\rm{x = \dfrac{120}{3}}

\rm{x = 40}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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Misha Larkins [42]
From angle bisector theorem, we know that:

\dfrac{|AD|}{|DC|}=\dfrac{|BA|}{|BC|}\\\\\\\dfrac{|AD|}{|DC|}=\dfrac{8}{10}=\dfrac{4}{5}

Moreover:

|AD|+|DC|=6

so:

|DC|=6-|AD|

and

\dfrac{|AD|}{|DC|}=\dfrac{4}{5}\\\\\\\dfrac{|AD|}{6-|AD|}=\dfrac{4}{5}\qquad\qquad\text{cross multiplying}\\\\\\ 5\cdot|AD|=4\cdot\big(6-|AD|\big)\\\\5\cdot|AD|=24-4\cdot|AD|\\\\5\cdot|AD|+4\cdot|AD|=24\\\\9\cdot|AD|=24\qquad|:9\\\\\\|AD|=\dfrac{24}{9}=\boxed{\dfrac{8}{3}}

3 0
3 years ago
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Dafna1 [17]
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8 0
3 years ago
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Snezhnost [94]

Answer:

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Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

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32/45

32 and 45 have no common factor, hence the final answer is 32/45

6 0
2 years ago
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What is -15x=-240?????????
Vlad [161]
You divide -15 on both sides to keep the x alone
-240/ -15=16
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Rewrite the expression using properties of exponents:
Keith_Richards [23]
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