Math Problem Statement

The image contains a set of problems involving solving for variables in geometric figures, particularly parallelograms.

Solution

The image you uploaded contains a set of problems involving the solution of variables in geometric figures, particularly with parallelograms. Let me walk you through each problem step by step:

Problem 1:

You need to solve for xx in two equations involving parallelograms:

Partner A:

9x43=3x+299x - 43 = 3x + 29

Partner B:

3x+47=10x373x + 47 = 10x - 37

Problem 2:

Find ADAD and WXWX in two geometric figures.

Partner A:

You are given the following: AB=15x19andAD=11x3AB = 15x - 19 \quad \text{and} \quad AD = 11x - 3 You need to find ADAD.

Partner B:

You are given the following: WX=4x+5andXY=7x22WX = 4x + 5 \quad \text{and} \quad XY = 7x - 22 You need to find WXWX.

Problem 3:

Solve for xx in the following equations:

Partner A:

JN=14x17andNL=3x+38JN = 14x - 17 \quad \text{and} \quad NL = 3x + 38 You need to solve for xx.

Partner B:

EH=8x+19andHG=13x6EH = 8x + 19 \quad \text{and} \quad HG = 13x - 6 You need to solve for xx.

Problem 4:

Find CECE and SUSU in two geometric figures.

Partner A:

You are given the following: CG=10x+9andGE=18x7CG = 10x + 9 \quad \text{and} \quad GE = 18x - 7 You need to find CECE.

Partner B:

You are given the following: SW=3x+5andWU=7x27SW = 3x + 5 \quad \text{and} \quad WU = 7x - 27 You need to find SUSU.

Let me know if you would like me to go through the solutions for these step by step. Would you like to start with one of these problems?

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Math Problem Analysis

Mathematical Concepts

Algebra
Geometric Figures
Parallelograms

Formulas

Equation solving
Properties of parallelograms

Theorems

Properties of parallelograms

Suitable Grade Level

Grades 7-9