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3 years ago

Find m AEB 66.5 133 266 227

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

The measure of arc AEB is $266\°$

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

$133\°=\frac{1}{2}(arc\ AEB)$

$arc\ AEB=2*133\°=266\°$

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In ΔBCA, CB = 11 cm, CG = 6 cm, AH = 9 cm. Find the perimeter of ΔBCA. Triangle BCA with inscribed circle D. Segments BF and BH,

romanna [79]

Answer:

The perimeter of Δ ABC is 40 cm ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Circle D is inscribed in triangle ABC

- The circle touches the side AB at H , side BC at F , side CA at G

- BF and BH are tangents to circle D from point B

∴ BF = BH ⇒ tangents drawn from a point outside the circle

- CF and CG are tangents to circle D from point C

∴ CF = CG ⇒ tangents drawn from a point outside the circle

- AG and AH are tangents to circle D from point A

∴ AG = AH ⇒ tangents drawn from a point outside the circle

∵ CG = 6 cm ⇒ given

∴ CF = 6 cm

∵ CB = 11 cm ⇒ given

∵ CB = CF + FB

∴ 11 = 6 + FB ⇒ subtract 6 from both sides

∴ FB = 5 cm

∵ FB = BH

∴ BH = 5 cm

∵ AH = 9 cm ⇒ given

∵ AH = AG

∴ AG = 9 cm

∵ AB = AH + HB

∴ AB = 9 + 5 = 14 cm

∵ AC = AG + GC

∴ AC = 9 + 6 = 15 cm

∵ BC = 11 cm ⇒ given

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 14 + 11 + 15 = 40 cm

* The perimeter of Δ ABC is 40 cm

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3 years ago

Yun was trying to factor 7x^2-14x7x

disa [49]

the width of Yun's area model is 7x units or ( x-2 )units .

<u>Step-by-step explanation:</u>

Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:

We know that area of rectangle :

⇒ $Area = length(width)$ .........(1)

Now , According to question we have

⇒ $Area = 7x^2-14x$

⇒ $Area = 7x(x-2)$

Comparing this equation to equation (1) we get that :

⇒ $width = 7x$ or , $width =x -2$

Therefore , the width of Yun's area model is 7x units or ( x-2 )units .

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