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Tamiku [17]
3 years ago
11

Maths question on algebraic equations ​= due in 10 minutes

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

108 degrees.

Step-by-step explanation:

2x + 16 = 3x - 12  (corresponding angles; AB parallel to CD).

16 + 12 = 3x - 2x

x = 28.

So the angle marked 3x - 12 = 3(28) - 12

= 72 degrees.

Angle y is adjacent to the angle so

y = 180 - 72

= 108 degrees.

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Prove 2/sqrt3cosx+sinx=sec(pi/6-x)
dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

#SPJ9

5 0
1 year ago
WILL GIVE BRAINLIEST, RATING, AND THANKS!
Lerok [7]
For both part A and part B, the cross-section would be a square.

For part c, the reasons the shapes are the same is the 3-D figure of a cube has 6 faces that are all squares. Since every face is a square, you cannot cut a cross-section that is any shape but a square. Cross-sections in 3-D prisms can reflect the face they are nearest to, so with every face being identical on a cube, the cross sections are also identical.

I hope this helps! :)
5 0
4 years ago
NEED HELP ON THIS PROBLEM FAST AND PLZZ
NeTakaya

Answer:

The answer is C) Y = 4

Step-by-step explanation:

In A, the slope is defined as 2.

In B, the slope is defined as 1/2.

In D, the slope is undefined.

8 0
3 years ago
What is the length of the missing side? Round to the nearest tenth if necessary.
olga nikolaevna [1]

Answer:

10 ft

Step-by-step explanation:

perpendicular (p)= 6 ft

base(b) =8 ft

hypotenuse (h) = ?

we know by using Pythagoras theorem

h = \sqrt{p^{2}+b^{2} }

= \sqrt{6^{2}+8^{2}  }

= 10 ft

hope it helps :)

7 0
3 years ago
(6x^2-5x+3)+(3x^2+7x-8)<br><br>add​
Mrac [35]

Answer:

9 {x}^{2}  + 2x - 5

Step-by-step explanation:

I have answered ur question

8 0
3 years ago
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