answer # How to Setup and Solve the Problem:## Problem Statement∠A and ∠B are vertical angles. If m∠A = (6x - 11) and m∠B = (5x + 4), then find the measure of ∠B?## Instructions:1. **Sketch and Label** a picture of the situation described.2. **Setup the Equation** based on the given information.3. **Solve** the equation using the given sketchpad or paper.## Detailed Steps:1. **Visual Representation:** - Draw two intersecting lines to form vertical angles ∠A and ∠B. - Label angle ∠A and assign its measure as (6x - 11). - Label angle ∠B and assign its measure as (5x + 4).2. **Formulate the Relationship:** - Since ∠A and ∠B are vertical angles, their measures are equal. - Set up the equation based on this relationship: 6x - 11 = 5x + 43. **Solve for x:** - Simplify the equation: 6x - 5x = 4 + 11 x = 154. **Find the Measure of ∠B:** - Substitute x back into the expression for m∠B: m∠B = 5x + 4 m∠B = 5(15) + 4 m∠B = 75 + 4 m∠B = 79 degrees## Final Answer: - The measure of ∠B is 79 degrees.Feel free to sketch out the angles and solve the equations either on the provided sketchpad or on paper. When ready, submit your answer to complete the task.

Answered: Image /qna-images/answer/8a805420-3564-4b77-a5e9-1e6cef04493d.jpg

ZA and ZB are vertical angles. If mLA= (6x - 11) and mZB=(5x + 4), then find the measure of ZB? Sketch and Label a picture of the situation above. Then set up the equation on the sketchpad. Feel free to solve either on the sketchpad or on paper.

ZA and ZB are vertical angles. If mLA= (6x - 11) and mZB=(5x + 4), then find the measure of ZB? Sketch and Label a picture of the situation above. Then set up the equation on the sketchpad. Feel free to solve either on the sketchpad or on paper.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 21PPS

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

answer

# How to Setup and Solve the Problem:

## Problem Statement

∠A and ∠B are vertical angles. If m∠A = (6x - 11) and m∠B = (5x + 4), then find the measure of ∠B?

## Instructions:

1. **Sketch and Label** a picture of the situation described.
2. **Setup the Equation** based on the given information.
3. **Solve** the equation using the given sketchpad or paper.

## Detailed Steps:

1. **Visual Representation:**
- Draw two intersecting lines to form vertical angles ∠A and ∠B.
- Label angle ∠A and assign its measure as (6x - 11).
- Label angle ∠B and assign its measure as (5x + 4).

2. **Formulate the Relationship:**
- Since ∠A and ∠B are vertical angles, their measures are equal.
- Set up the equation based on this relationship:
6x - 11 = 5x + 4

3. **Solve for x:**
- Simplify the equation:
6x - 5x = 4 + 11
x = 15

4. **Find the Measure of ∠B:**
- Substitute x back into the expression for m∠B:
m∠B = 5x + 4
m∠B = 5(15) + 4
m∠B = 75 + 4
m∠B = 79 degrees

## Final Answer:
- The measure of ∠B is 79 degrees.

Feel free to sketch out the angles and solve the equations either on the provided sketchpad or on paper. When ready, submit your answer to complete the task.

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