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Zepler
2 days ago
7

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incor

rect answer and 0 for questions not attempted.
Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Mathematics
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Find the sum of the integers between 301 and 400 inclusive that are multiples of 4.
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First, we need to identify the integers between 301 and 400 that are divisible by 4. The initial number is 304, which is the first multiple of 4 in that range. The sequence formed is 304, 308, 312,...,400, creating an arithmetic progression (AP). To determine how many such integers exist, we utilize the AP formula.
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Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates
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Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem \sqrt(a^{2}+b^{2})=KM

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem \sqrt(a^{2}+b^{2})=JL

Thus, we find that \sqrt(a^{2}+b^{2})=KM=LM and option C is the correct choice.

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