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2 years ago

25 pt question amd will mark brainliest

Mathematics

2 answers:

Usimov [2.4K]2 years ago

8 0

Hello!

The angles are supplementary meaning they add to 180°

a + 2a + 3 = 180

Combine like terms

3a + 3 = 180

Subtract 3 from both sides

3a = 177

Divide both sides by 3

a = 59

the answer is 59°

Hope this helps!

boyakko [2]2 years ago

6 0

The two angles labeled are alternate corresponding.

These angle are supplementary.

use the following equation to solve for a.

2a + 3 + a = 180

Solve for a now.

3a + 3 = 180
3a = 177
a = 59

Hope this helps :)

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

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shutvik [7]

Answer:

4x=y

Step-by-step explanation:

Mandy collects 4 times the amount that Cameron has, so Cameron's amount x 4 = Mandy's amount

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3 years ago

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Cloud [144]

Check the picture below.

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saw5 [17]

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Hope this helps!

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KatRina [158]

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3 years ago