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yan [13]
2 years ago
5

What is thw value of x?x=____​

Mathematics
2 answers:
Lyrx [107]2 years ago
6 0

Answer:

x = 30

Step-by-step explanation:

The 2 given angles are same- side exterior angles. That is they are on the same side of the transversal and outside the parallel lines.

same- side exterior angles are supplementary, thus

x + 12 + 3x + 48 = 180, that is

4x + 60 = 180 ( subtract 60 from both sides )

4x = 120 ( divide both sides by 4 )

x = 30

NISA [10]2 years ago
6 0

Answer:

(3x+48)+(x+12)

=4x+60

4x+60=180

4x=120

x=30

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Answer:

\large{ \tt{❃ \: EXPLANATION}} :

  • We're provide - Sin θ = \frac{12}{37} which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = \tt{  \frac{p}{h}} ] . We're asked to find out tan θ ].

\large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} :

\large{ \tt{❊ \:  {h}^{2}  =  {p}^{2}  +  {b}^{2} }}

\large{ \tt{⇢ {p}^{2} +  {b}^{2}   =  {h}^{2} }}

\large{ \tt{⇢ \:  {b}^{2}  =  {h}^{2}  -  {p}^{2} }}

\large{ \tt{⇢ \:  {b}^{2} = {37}^{2} -  {12}^{2}   }}

\large{ \tt{⇢ \:  {b}^{2}  = 1369 - 144}}

\large{ \tt{ ⇢{b}^{2}  = 1225}}

\large{ \tt{⇢ \: b =  \sqrt{1225}}}

\large{ \tt{⇢ \: b = 35  \: \text {units}}}

  • Now , We know - Tan θ= \tt{ \frac{perpendicular}{base} }. Just plug the values :

\large{ \tt{➝ \: Tan  \: \theta =  \frac{p}{b}  = \boxed{ \tt{  \frac{12}{35} }}}}

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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