Mathematics, 18.02.2020 08:45 alyssawage

K is the midpoint of JL. Given that JK=2x+7 and KL=4x+1, find x, JK, KL, and JL.

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Answer from: manlycool9962

x = 3

JK = 13

KL = 13

JL = 26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMidpoints - separates a line segment into 2 equal partitions

Step-by-step explanation:

Step 1: Define

K is midpoint JL. Use midpoint definition.

JK = 2x + 7

KL = 4x + 1

JK = KL

2x + 7 = 4x + 1

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2x on both sides: 7 = 2x + 1[Subtraction Property of Equality] Subtract 1 on both sides: 6 = 2x[Division Property of Equality] Divide 2 on both sides: 3 = xRewrite/Rearrange: x = 3

Step 3: Find

Substitute in x: JK = 2(3) + 7Multiply: JK = 6 + 7Add: JK = 13

Substitute in x: KL = 4(3) + 1Multiply: KL = 12 + 1Add: KL = 13

Define: JL = JK + KLSubstitute in variables: JL = 13 + 13Add: JK = 26

Answer from: Quest

Whose mistake? can you give more details to what the question is asking?

Answer from: Quest

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4

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K is the midpoint of JL. Given that JK=2x+7 and KL=4x+1, find x, JK, KL, and JL....