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ludmilkaskok [199]
2 years ago
5

Find the value of x

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}

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Please help Please help
bonufazy [111]

Answer:

The cosine of angle C is 5/13, or approximately 0.38.

Step-by-step explanation:

To solve this problem, we must remember what the cosine of an angle represents.  The cosine of an angle is equal to the ratio of the adjacent side divided by the hypotenuse.

From the diagram, we can determine that the adjacent side length is 10 and the hypotenuse is 26.

Therefore, the cosine of angle C is:

10/26 = 5/13 (simplified)

Hope this helps!

5 0
4 years ago
Write an equation of the line that passes through (-4,1) and is perpendicular to the
trasher [3.6K]

Answer:

line1:y=2x+3

Gradient1=2

Let line2 be the line passes through (-4,1)and perpendicular to line1.

Because line2 and line1 are perpendicular, (gradient of line2) (gradient of line1) =-1

Gradient of line2=-1/2

Equation of line2:y-y1 =m(x-x1)

:y-1 =(-1/2)[x-(-4)]

:(y-1)(-2)=(x+4)

:-2y+2 =x+4

:-2y+2-x-4=0

:-x-2y-2 =0

:x+2y+2 =0

*notes:gradient=m

3 0
3 years ago
Please help me with this<br> Look at the image
aivan3 [116]

Answer:

ECB=EBC=(180-90)/2

=90/2=45

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4 0
3 years ago
9/16, 0.25, 5/48, 0.5 least from greatest
zubka84 [21]

Answer:

9/16, 0.5, 0.25, 5/48

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
The midpoint of mn is point p at (-4,6). If point m is at (8,-2), what are the coordinates of point n?
VashaNatasha [74]
<u>x₁ + x₂</u>                             <u>y</u>₁ + <u>y</u>₂<u>
</u>     2      = M                        2     = M
<u>
x + 8</u>                                 <u>y + -2</u><u>
</u>    2    = -4                            2           =6
<u>multiply both sides by 2.

</u>x+8=-8                             y - 2 = 12
<u>x = -16</u>                             <u>y = 14
</u>
Final Answer: (-16, 14)



7 0
3 years ago
Read 2 more answers
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