Answer:
x = 50
Step-by-step explanation:
Since the two angles are supplementary, add them together and set them equal to 180 degrees
2x + 2x - 20 = 180 Combine like terms
4x - 20 = 180
+ 20 + 20 Add 20 to both sides
4x = 200 Divide both sides by 4
x = 50
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Answer
<em>TV screens are measured on the diagonal </em>
<em>. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w =
</em>
<em>24 i n d = 40 i n </em>
<em>Then , the sides of the rectangle and its diagonal form a right triangle . </em>
<em>Therefore , we can determine the height ( l ) </em>
<em>if we can apply the Pythagorean theorem: d 2 = l 2 + w 2 </em>
<em>So , solving for l : l = √ d 2 − w 2 </em>
<em>Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2 </em>
<em>Simplifying: d = √ 1024 = 32 i n </em>
<em>Therefore </em>
<em>, the height of the TV is: </em>
<em>32 i n
</em>
Step-by-step explanation:
To write the equation in LaTeX in form y = ab^x or 
for y = abx .........(1)
(a) LaTeX: y=3\sqrt{4^{2x}} y = 3 4 2 x can be written in mathematical form as
; y = 342x
on comparing with equation (1) we get a =3 and b =4
⇒y = 34^x or 
(b) LaTeX: y=\frac{\sqrt[3]{5^{3x}}}{2} y = 5 3 x 3 2 can be written in mathematical form as
![y=\frac{\sqrt[3]{5^{3x}}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B5%5E%7B3x%7D%7D%7D%7B2%7D)
; y = 342x
on comparing with equation (1) we get a =0.5 and b =5
⇒y = 
(c)LaTeX: y=8^{x+2} y = 8 x + 2 can be written in mathematical form as
on comparing with equation (1) we get a =64 and b =8
y = 
(d)LaTeX: y=\frac{3^{2x+1}}{\sqrt{3^{2x}}} can be written in mathematical form as
= 
= 
on comparing with equation (1) we get a =3 and b =3
y =
Answer:
175 Miles has to be driven to do the plans cost the same.
Step-by-step explanation:
Assume The Chau Drive Y miles .
We Have Given Two Plans ,
- First Plan = 50$ + 0.19$ × Y
- Second Plan = 57$ + 0.15$ × Y
Now,Put First Plan=Second Plan (When Both Plans Cost The Same)
50$ + 0.19$ × Y = 57$ + 0.15$ × Y
0.04$ × Y = 7 ⇔ Y = 175 Miles
X will = 40 , because 40,y=-24 !
