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andrezito [222]
3 years ago
5

Construct triangle ABC such that AB =7cm,AC=5cm,and angle BAC=60°.Measure BC.​

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0

Answer:

(i) Steps of Construction :

(i) Draw a line segment AB = 7 cm.

(ii) At B, draw a ray making an angle of 60° and cut off BC = 5 cm

(iii) Join AC,

∆ABC is the required triangle.

(ii) Steps of Construction :

(i) Draw a line segment BC = 6 cm.

(ii) At C, draw a ray making an angle of 75° and cut off CA = 5.7 cm.

(iii) Join AB

∆ ABC is the required triangle

(iii) Steps of Construction :

(i) Draw a line segment AB = 6.5 cm

(ii) At A, draw a ray making an angle of 45° and cut off AC = 5.8 cm

(iii) Join CB.

∆ ABC is the required triangle.

storchak [24]3 years ago
5 0

Step-by-step explanation:

{{{{{hope it helps}}}}}}

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If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.
olganol [36]

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

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5/3 = 1 remainder 2

Substitute k into the equation

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n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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