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2 years ago

Which of the following theorems verifies that AKML AOPQ?

Mathematics

1 answer:

Finger [1]2 years ago

7 0

The theorem that verifies that the two right angled triangles are similar is HA.

<h3>What are similar triangle?</h3>

Two triangles are said to be similar if the ratio of their corresponding sides and the corresponding angles are equal.

Analysis:

From the diagrams KL = OQ ( hypotenuse)

∠L is equal to ∠Q which are acute.

so the two triangles are similar in hypotenuse and acute angle which is the HA theorem.

In conclusion, the HA theorem verifies that the two triangles are similar.

Learn more about similar triangles: brainly.com/question/2644832

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3 years ago

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Answer:

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3 years ago

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3 years ago

Solve for p.

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3 years ago

Find the sum of the numbers divisible by 7 between 30 and 500

brilliants [131]

Answer:

17822

Step-by-step explanation:

The number that are divisible by 7 between 30 and 500 are as follows :

35, 42,49,.....,497

It will form an AP with first term, a = 35 and common difference, d = 7

Let there are n terms in the AP.

nth term of an AP is given by :

$a_n=a+(n-1)d$

Putting all the values,

$497=35+(n-1)7\\\\462=(n-1)7\\\\n-1=66\\\\n=67$

Now, the sum of n terms of an AP is given by :

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Putting all the values,

$S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822$

Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.

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3 years ago