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3 years ago

30. Consider the diagram below. Solve for x.

Mathematics

2 answers:

bogdanovich [222]3 years ago

8 0

X=111 hope this answer helps you!!

AveGali [126]3 years ago

4 0

Answer:

x = 111°

Step-by-step explanation:

The 2 vertical lines are parallel.

So the sum of the 2 interior angles are equal to 180°.

x + 69° = 180°

x = 111°

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Num 27. Please answer and explain if you have time but totally not needed

ohaa [14]

Answer:

a. d = $\sqrt{3}$

b. d = $2\sqrt{3}$

c. d = $s\sqrt{3}$

Step-by-step explanation:

to find the length of the longest diagonal of the cube at first you will find the length of the diagonal if its base

If the length of the side of a cube is x

∴the length of the diagonal of the base = $\sqrt{x^{2}+x^{2}}=\sqrt{2x^{2} }=x\sqrt{2}$

Now to find the length of the longest diagonal we will use Pythagoras with the side of the cube and the diagonal of the base

$d^{2}=(x\sqrt{2} )^{2} + x^{2}=2x^{2} +x^{2} =3x^{2}$

$d=\sqrt{3x^{2} }=x\sqrt{3}$

means the length of the side multiply by root 3

a. The length of the side is 1 so $d=\sqrt{3}$

b. The length of the side is 2 so $d=2\sqrt{3}$

c. The length of the side is s so $d=s\sqrt{3}$

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J(x) = 2x²+8x-5 What is this in vertex form

pav-90 [236]

Answer:

The vertex form parabola y = 2( x+4)² -37

Step-by-step explanation:

Step(i):-

Given parabola equation j(x) = 2x² + 8x -5

Let y = 2x² + 8x -5

⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5

By using (a + b)² = a² +2ab +b²

y = 2(x+4)²- 32 -5

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Step(ii):-

The vertex form parabola y = a( x-h)² +k

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