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
Anettt [7]
2 years ago
6

I want pictures of how you did it on paper! please please please help me

Mathematics
1 answer:
denis23 [38]2 years ago
3 0

a) The value of k in the first diagram is 10

b) The value of k in the second diagram is 7.5

<h3>Calculating angles </h3>

From the question, we are to determine the value of k in the given diagrams

a) The diagram shows two parallel lines and a transversal.

NOTE: The interior angles on the same side of the transversal are supplementary

Then, we can write that

5k + 20 + 7k + 40 = 180°

Now, solve for k

5k + 20 + 7k + 40 = 180°

12k + 60 = 180

12k = 180 - 60

12k = 120

k = 120/12

k = 10

Hence, the value of k in the first diagram is 10

b) By the exterior angle theorem, we can write that

12k + 10 + 40 = 8k + 80

NOTE: The <em>exterior angle theorem</em> states that the measure of an exterior angle is equal to the sum of the <u>two opposite interior angles</u>

Now, solve for k in

12k + 10 + 40 = 8k + 80

First, collect like terms

12k - 8k = 80 - 10 - 40

4k = 30

k = 30/4

k = 7.5

Hence, the value of k in the second diagram is 7.5

Learn more on Calculating angles here: brainly.com/question/21369105

#SPJ1

You might be interested in
Can someone answer this plzz asap
Lina20 [59]
The correct answer is between c and d, i hope this helps
7 0
4 years ago
Read 2 more answers
PLEASE HELP WILL NAME BRAINLEST
Schach [20]

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

7 0
3 years ago
Which statements describe a parallelogram that must be a square?<br><br> Select each correct answer.
Oxana [17]

That would be B, C and E.

A and D could be a rhombus.

8 0
3 years ago
Read 2 more answers
Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)
Alinara [238K]
The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so 
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ)
y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7
therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
8 0
3 years ago
How do i find the range and domain? please leave detailed steps because i'm struggling with this :(
Hitman42 [59]
Check the picture below.

so, mount Rainier is 5400 feet above sea level, and the hiker is going from there, to mount Muir.

now, at 0 hours, the hiker is 5400 feet above sea level, because is on mount Rainier, and every "t" hour passing by, she's going up, according to the equation, 1000 feet, so she does 1000 feet every passing hour.

the domain, INPUT, is from 0, up to whatever long it takes her to get to mount Muir, so from 5400 to 10,100 is 4700 feet, now, she does 1000 every hour, so is 4 hours and 0.7 or 42 minutes, so she'd take 4 hours and 42 minutes.

So the domain will be, from the time she starts at 0 up to 4.7 hours or 4hr and 42mins later.  And in interval notation [0, 4.7].

The range, is how much she went up, well, we checked the difference already, is 4700 feet, so it went from 5400 to 10,100, so the range is just that, 4700 feet, or in interval notation [5400, 10,100]

3 0
3 years ago
Other questions:
  • -100,-200,0,-25,30 in order from least to greatest
    5·2 answers
  • What expressions are equal 10^5
    8·2 answers
  • 1) A dog eats 12 of a cup of dog food per meal. How many meals are in a 6-cup bag of dog food?
    8·1 answer
  • chyenne is playing a board game her score was -275 at the start of her turn and at the end of her turn was -425 what was the cha
    7·1 answer
  • tge width of a piece of plywood is 4 3/4 feet. the length is 5 1/3 feet. by how much does the length exceed the width?simplify t
    12·1 answer
  • In a survey three out of seven people named blue as their favorite color. One out of six named red. If 1092 people were included
    9·2 answers
  • What is 2478 rounded to the nearest thousand​
    11·2 answers
  • Find the slope of the line graphed.
    6·1 answer
  • The diagram shows 2 points A and B on a map scale 1:25000 find the bearing from b to a
    6·2 answers
  • Write an exponential model given the two points ​(10​,130​) and ​(11​,240​).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!