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Vika [28.1K]
3 years ago
13

Which statements must be true?

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

The options 2,3 and 5 are correct.

Step-by-step explanation:

From the figure it is noticed that the points U,V and W are midpoint of JK,KL and JL respectively.

Midpoints theorem of triangle states that the line connecting the midpoints of two sides is parallel to third side and its length is half of the third side.

The points U and W are midpoint of JK and JL. Using midpoint theorem, we get

UW=\frac{1}{2}KL

UW\parallel KL

The points U and V are midpoint of JK and KL. Using midpoint theorem, we get

UV=\frac{1}{2}JL

UV\parallel JL

The points V and W are midpoint of KL and JL. Using midpoint theorem, we get

VW=\frac{1}{2}JK

2VW=JK

VW\parallel JK

Therefore options 2, 3 and 5 are correct.

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mina [271]

The simplification of the expression is 28. The mistake in your calculation occurred in step 3.

<h3>What is the process involved in simplifying expression involving brackets?</h3>

TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).

This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.

Now, from the given information, we have:
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solving parameters in the bracket first, we have:
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= 22 + 6[(9) ÷9]          

  • The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.

= 22 + 6[(9) ÷9]    

= 22 + 6[ 1]

= 22 + 6

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Learn more about simplifying expressions here:

brainly.com/question/723406

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