How to simplify the expression x+3+5x

Mathematics

2 answers:

vodka [1.7K]4 years ago

7 0

Combine 5x and x and that makes 6x+3

jenyasd209 [6]4 years ago

3 0

Answer:

$6x + 3$

Step-by-step explanation:

The algebraic expression x + 3 +5x can be simplified by collecting like terms. Like terms are terms that have the same variables. Variables are the alphabets attached (multiplied) with figures. Thus,

$x + 3 + 5x$

Collect like term

$x + 5x + 3$

$6x + 3$

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A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete

Mice21 [21]

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ . So Blank 1 is filled by Given and blank 2 is filled by $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ .

Parallelogram is a quadrilateral whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ , therefore $\angle 2\cong \angle 3$ . Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if $\angle 1\cong \angle 2$ and $\angle 2\cong \angle 3$ , then $\angle 1\cong \angle 3$ . Thus, the blank 5 is filled by Transitive Property of Congruence.