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3 years ago

13

I need to be able to find the value of x

1 answer:

drek231 [11]3 years ago

8 0

If a 4 sided figure has 360°...for each side we add, we add 180°.

you have a 7 sided figure (360° + 3(180°) = 900°)

adding up your angles (781) and subtract it from 900 =

x = 119°

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Hey guys can anyone help me find the missing side length pls and ty

Tcecarenko [31]

$\bold{\huge{\green{\underline{ Solution}}}}$

$\bold{\underline{ Given :- }}$

<u>We </u><u>have </u><u>given </u><u>a</u><u> </u><u>right</u><u> </u><u>angled </u><u>triangle </u><u>whose </u><u>values </u><u>are </u><u>m</u><u>, </u><u> </u><u>n </u><u>and </u><u>2</u><u> </u>

$\bold{\underline{ To \: Find :- }}$

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>m </u><u>and </u><u>n</u>

$\bold{\underline{ Let's \: Begin :- }}$

<u>In </u><u>the </u><u>given </u><u>right </u><u>angled </u><u>triangle</u><u>, </u><u>we </u><u>have </u>

Perpendicular height = n units
Base = 2 units
Hypotenuse = m units

<u>Now</u><u>, </u><u> </u><u>By </u><u>using </u><u>trigonometric </u><u>ratios </u>

$\bold{\pink{ Sin Φ = }}{\bold{\pink{\frac{Perpendicular }{Hypotenuse}}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\frac{Base}{Hypotenuse }}}}$

$\bold{\blue { tan Φ = }}{\bold{\blue{\frac{Perpendicular }{Base }}}}$

<u>According </u><u>to </u><u>the </u><u>question </u><u>:</u><u>-</u>

$\bold{ Cos \: 45° = }{\bold{\frac{2}{m}}}$

$\bold{ 1/√2= }{\bold{\frac{2}{m}}}$

$\bold{\red{ m = 2√2 \: units }}$

<u>We </u><u>know </u><u>that </u><u>,</u><u> </u><u>Sum </u><u>of </u><u>Angles</u><u> </u><u>of </u><u>triangle </u><u>is </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>.</u>

<u>Therefore</u><u>, </u>

Let the unknown angle be x

$\sf{ 45° + x + 90° = 180° }$

$\sf{ x = 180° - 135 ° }$

$\sf{ x = 45° }$

<u>Now</u><u>, </u>

$\bold{ Cos \: x° = }{\bold{\frac{n}{2√2}}}$

$\bold{ Cos \: 45° = }{\bold{\frac{n}{2√2}}}$

$\bold{ 1/√2= }{\bold{\frac{n}{2√2}}}$

$\bold { n = 2√2/√2 }$

$\bold{\red{ n = 2\: units }}$

Thus, The value of m = 2√2 and n = 2

$\sf{\blue{ Hence, \: option \: D \: is \: Correct }}$

5 0

2 years ago

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If 10 hexagon tables are used ,then how many people can be seated

Stels [109]

Answer:

60 people

Step-by-step explanation:

a hexagon table will seat 6 people

so we multiply 6×10=60

7 0

3 years ago

Writeca number sentence that shows an estimate each answer. ..69 +25

juin [17]

100 is an estamite of 69+25

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3 years ago

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Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 26 . The expression 0.05⁢n+0.10⁢d+0.25⁢q repres

Westkost [7]

Use the substituting equation to solve

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3 years ago

F(x) = 3x + 12, g(x) = 3x - 1;<br> =<br> =<br> Find (fºg)(x).

MissTica

$\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)$

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2 years ago