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2 years ago

PLEASE HELP, ITS DUE VERY SOON

Mathematics

2 answers:

VLD [36.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

90+2x+x=180

3x=90

x=30

Sonbull [250]2 years ago

4 0

Answer:

Step-by-step explanation:

First we can find the total angle that we are "adding" to. This total angle is 180 degrees. Now since there is a right angle, H,E,G, we can remove 90 from that total to get 90. Now for x. Since there is a total of 3 x's, we divide 90 by 3 to get 30.

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saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

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2 years ago

Courtney has 27 chocolate chip cookies and 36 oatmeal raisin cookies. She needs to arrange them on trays. She doesn't want to co

Wittaler [7]

Well since she's trying to get 2 trays of equal cookies you subtract like how much does 27 go into 36 once so that's how much on each tray 27

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3 years ago

Hello - I won't be able to go to bed if I don't solve this thing.

Darina [25.2K]

Ok.... so the first part is asking you what the perimeter of the picture itself is.
The picture is 5in by 7in.... SO you add 5+5+7+7=24.... So the perimeter of the pic is 24 inches.

Now part b

So the frame is one inch thick
This mean that the sides are now 2 inches longeron each side

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So the perimeter is 32

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faltersainse [42]

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2 years ago

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