Math Problem Statement

The original question submitted by the user as text.

Solution

It looks like the image you provided contains several geometry problems related to rectangles. I'll go through the questions based on the details in the image.

Let’s start with a brief analysis of some of the key sections:

  1. First Quadrilateral:

    • The problem involves finding missing measures of a rectangle.
    • The equation used seems to be VW+WX=19VW + WX = 19, and you are solving for XX.
  2. Second Quadrilateral:

    • Involves another rectangle with sides given. For the missing measures (like GF,GE,DF,HF,DGGF, GE, DF, HF, DG), it looks like relationships are being used to solve for unknowns.
  3. Angles and Sides:

    • There are angle notations like mBCDm \angle BCD which likely relate to the interior angles in each quadrilateral.
  4. Algebraic Problem:

    • There is an equation 11x3x=28+2611x - 3x = 28 + 26 which looks like a typical algebraic equation for solving xx.
  5. Missing Lengths:

    • There’s a question involving finding the length WZWZ, with expressions like 7x67x - 6 and 3x+143x + 14 for sides.
  6. Final Algebra Problem:

    • The last problem involves solving for the length PRPR, given the equations SQ=11x26SQ = 11x - 26 and PR=5x+28PR = 5x + 28.

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Math Problem Analysis

Mathematical Concepts

Geometry
Algebra
Rectangles
Angles
Equations

Formulas

Perimeter of a rectangle
Area of a rectangle
Angle relationships in rectangles
Algebraic equations

Theorems

Pythagorean Theorem
Angle Sum Property

Suitable Grade Level

Grades 7-10