HomeworkLib
Question

Solve. Check to see if your answer is reasonable.Parking Lot A triangular region of the community college...

Solve. Check to see if your answer is reasonable.

Parking Lot A triangular region of the community college parking lot was measured. The measure of the first angle of this triangle is double the measure of the second angle. The measure of the third angle is 19° greater than double the measure of the first angle. What are the measurements of all three angles?

math   algebra   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Let the first angle be x, the second angle be y, and the third angle be z.

The measure of the first angle is double the measure of the second angle. This would be represented by

The measure of the third angle is 19 degrees greater than double the measure of the first angle. This would be represented by

The sum of all three angles must be 180 therefore. By direct substitution this would be.

Substitute one more time to eliminate the x and get all the variables to be y. This would be:

Find the missing measure using order of operations to get:

Substitute this value back into the first equation to get:

Substitute this value back into the third equation to get:

Therefore, the angles are

0 0
Add a comment
Know the answer?
Add Answer to:
Solve. Check to see if your answer is reasonable.Parking Lot A triangular region of the community college...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Please write your answer clearly on this paper in the spaces provided; identify each statement as true( T) or false...

    Please write your answer clearly on this paper in the spaces provided; identify each statement as true( T) or false( F): Making a conjecture from your observations is called inductive reasoning. The 25th term in the -2, 4, -6, 8, -10,...) sequence is-42 1.( 2.) 3.() A polygon with 7 sides is called a septagon 4.( Ifa polygon is equiangular, then it is equilateral. 5. The complement of an acute angle is an obtuse angle. 6. An angle bisector in...

  • PLEASE ANSWER ALL 5 QUESTIONS, I TRULY NEED THEM. I WILL MAKE SURE TO LEAVE A...

    PLEASE ANSWER ALL 5 QUESTIONS, I TRULY NEED THEM. I WILL MAKE SURE TO LEAVE A GREAT RATING. THANK YOU SO MUCH. C 96 Solve the triangle Round the lengths of sides to the nearest tenth and angles to the nearest degree. b=3 a = 5 B CV Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Do not round until the final answer. Then round side lengths to the nearest tenth,...

  • (Need to complete the methods and pass a Junit test i can email them to you.)...

    (Need to complete the methods and pass a Junit test i can email them to you.) public class Triangle implements Comparable {    /**    * Stores the number of objects instantiated from the {@code Triangle} class    */    private static int numTriangles;    /**    * The shortest side of the triangle    */    private final double a;    /**    * The side of medium length of the triangle    */    private final double b;...

  • PROBLEM 3-1, Aduls in a community ether they smoke E rom high school [B 1.See Table...

    PROBLEM 3-1, Aduls in a community ether they smoke E rom high school [B 1.See Table 3-5. (a) Calculate P(A | B)and P(A | B). (b) Calculate P(B | A)and P(BIA (c) Determine whether events A and B are independent. smoke [A'1, and whether they graduated from high school [B] or didn't graduate f TABLE 3-5: Table for Problem 3-19 High schoo Not high school Row graduate [B] graduate [B] totals 60% 40% 20% Smokes [A] Doesn't smoke [A'] 40%...

  • can you help me solve this statistics problem? I need the p-value. Thanks. (1 point) All...

    can you help me solve this statistics problem? I need the p-value. Thanks. (1 point) All Carroll statistics students are assigned to randomly select a sample of 40 people from the Helena community and measure how much time it takes them to solve a word search puzzle. Each student takes the average of the 40 times and submits this average The table below gives the distribution of these averages. The first bin contains all averages less than or equal to...

  • Please see attached question/parts. Please show all work & double check units to answer for what...

    Please see attached question/parts. Please show all work & double check units to answer for what the question is asking exactly. Please show all work. Thank you! (Below the question is a zoomed in picture for clearer view & tips to complete part a) Part a tips: (2 pictures) Part b zoomed in: 3a) 3b) A uniform sheet of charge lies on a horizontal surface. A point charge of -8 micro-coulombs is located 0.2 meters below the sheet. At a...

  • Coding for Python – don’t need it to be complex: In this assignment, your goal is to write a Python program to determine whether a given pattern appears in a data series, and if so, where it is locate...

    Coding for Python – don’t need it to be complex: In this assignment, your goal is to write a Python program to determine whether a given pattern appears in a data series, and if so, where it is located in the data series. This type of problem is common in many health disciplines. For example, identifying treatment pathways. The goal is to detect whether a certain pattern appears in the data series. In the following example, the pattern to be...

  • can someone help? I have my answers just want double check. thanks 10. Two fair dice...

    can someone help? I have my answers just want double check. thanks 10. Two fair dice are rolled and the sum of the numbers on their faces is observed. Find the probability that the sum is: a. Less that 2 b. Greater than 9 c. 7 d. Less than 5 11. Probability Experiments are described below. Describe the sample space for each of the following. 1. Tossing a coin. 2. Guessing the last digit of a telephone number. 3. Tossing...

  • Why is the component of A-y 61.40 but also 25? Help explain please the first displacement,...

    Why is the component of A-y 61.40 but also 25? Help explain please the first displacement, B the second, and C the third. We can estimate from the diagram that the vector sum R is about 10 m, 40° west of north. The angles of the vectors, measured counterclockwise from the +x axis, are 58, 216, and 270°. We have to find the components of each. Practice Problem 1.8 SOLVE The components of A are Consider four finalists in a...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT