1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
spayn [35]
3 years ago
5

Transversal Problems with Equations (Level 1)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x is 21°

Step-by-step explanation:

The angles formed between the transversal <em>t</em> and lines <em>m</em> and <em>n</em> are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, <em>t</em>, and lines <em>m</em> and <em>n</em>, the angles are corresponding angles

Given that lines, <em>m</em> and <em>n</em> are parallel, we have the corresponding angles formed by the transversal, <em>t</em>, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make <em>x</em> the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

You might be interested in
See pictures attached below. Will give Brainliest!
Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

\frac{1}{x} = rate of completion

Aunt 1 = \frac{1}{1.5} Grandma 1 = \frac{1}{2}

\frac{2}{3} +\frac{1}{2} = \frac{1}{x}

\frac{7}{6} = \frac{1}{x}

x = \frac{6}{7}

<u>Centerpieces --> 7/4 hours</u>

x = time together    \frac{1}{x} = rate of completion

Mom = \frac{1}{3.5} Aunt 2 = \frac{1}{3.5}

\frac{2}{7} + \frac{2}{7}  = \frac{1}{x}

\frac{4}{7} = \frac{1}{x}

x = \frac{7}{4}

<u>Balloons --> 15/16 hours</u>

x = time together    \frac{1}{x} = rate of completion

You = \frac{1}{1.5} Grandma 2 = \frac{1}{2.5}

\frac{2}{3} + \frac{2}{5}  = \frac{1}{x}

\frac{16}{15} = \frac{1}{x}

x = \frac{15}{16}

Shortest amount of time to complete all tasks is:

\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0
3 years ago
HELP ME PLS I NEED THIS !!!!
ZanzabumX [31]

Answer:

Go google the answer

Step-by-step explanation:

3 0
3 years ago
Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
SVEN [57.7K]

Step-by-step explanation:

y-y₁=m(x-x₁) 

1-(-4)=m(4-3)

5=m

5 0
3 years ago
If y=2x+3 find the value of y when x=5
Alex73 [517]
Y is 13 when you solve the problem
8 0
3 years ago
Read 2 more answers
Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the ga
notsponge [240]

answer windex heres the step by step explanation everything =windex Step-by-step explanation:

7 0
3 years ago
Other questions:
  • How to convert 147.9 price per liter to price per gallon 
    11·2 answers
  • A circle has An area of 36 pi square inches which best represents the circumference of the circle.
    11·1 answer
  • Help? <br> Solve 2x - 8 &lt; 7
    11·2 answers
  • There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.
    5·2 answers
  • What is 24 multiple or neither of the number 36
    9·1 answer
  • What is 20 percent of 9,500
    11·1 answer
  • A (not necessarily convex) 11-sided polygon can have at most how many right interior
    9·2 answers
  • Each of Sunil's beagle puppies weighs less than 11.3 oz at birth.
    11·1 answer
  • Which of the following is a common name for a URL?
    9·1 answer
  • PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!