Answers
When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Related Questions
IM DONE WITH THIS STUPID THING 50 POINTS TO THE PERSON WHO GETS IT ALL CORRECT.
Answers
If
you borrow $500 at 5% for two years, how much will you pay back by the end of the term?
Answers
Answer:
Your estimated monthly payments are $22 and you will pay $26 in interest over the life of the loan.
Step-by-step explanation:
You know whats weird lol?
Im about to be 14 in january right, and i already have a job. I work 7 days a week.
And my sister is 16, she doesnt have a job or do anything..
chile-
Answers
Answer:
wow
Step-by-step explanation:
You earnin monnnnnneyyyyyyyyy!!!!!!!!!!!!!!!!!!!
why is the set {(3,6), (4,8), (5,10), (3,1), (6,12), (7,10)} NOT a function
Answers
Answer:
There are two 3s for the imputs (3,6) (3,1)
Step-by-step explanation:
There can only be one output for every input
What is the Lcm of 168?
Answers
Answer:
6
Step-by-step explanation:
If 8 containers of cold brew coffee cost $24.80, what is the constant of proportionality?
Answers
Answer:
3.1
Step-by-step explanation:
What is x in x4 - 2x3 - 3x2 = 0
Answers
What is the least possible value of x if x^2 + 21 = 30
Answers
Answer:
Least possible value of x is 3
Step-by-step explanation:
Given:
x² + 21 = 30
Find:
Value of x
Computation:
x² + 21 = 30
x² = 30 - 21
x² = 9
x = √9
x = 3
Least possible value of x is 3
answer question bellow!!!
Answers
2 The value of y is directly proportional
to the value of x.
If y = 35 when x = 140, what is the
value of y when x=70
Answers
Answer:
y = 17.5
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 35 when x = 140, then
35 = 140k ( divide both sides by 140 )
0.25 = k
y = 0.25x ← equation of proportion
When x = 70, then
y = 0.25 × 70 = 17.5
Determine the value of angle ECB
Please help me out!
Answers
Answer: ∠ECB = 60°
Step-by-step explanation:
First, find the value of x by adding them up.
x + 3x + 2x = 6x
Since we know that all of the angles create a 180° angle, we can set up a proportion.
6x = 180°
To find the value of x, divide both sides by 6.
6x ÷ 6 = x
180 ÷ 6 = 30
So now the proportion is x = 30.
Now that we now x = 30, we can plug in 30 to the angle measures.
∠DCA = 30°
∠DCE = 90°
∠ECB = 60°
So angle ECB is 60°.
hope this helps!
5 5/6 + (-1/6) + 2 2/3 + (-2 2/3)
Answers
Answer:
5.66666666667
Step-by-step explanation:
. The equation = can be used to find how many hours h a person needs to work to earn $200 at $8 per hour. How many hours does a person need to work to earn $200?
Answers
Answer:
0.04 h
Step-by-step explanation:
The given equation is :
8h=200
It is used to find hours h a person needs to work to earn $200 at $8 per hour.
We need to find no of hours does a person need to work to earn $200. It can be calculated as follows :
[tex]\dfrac{8h}{200}=\dfrac{200}{200}\\\\h = 0.04\ h[/tex]
So, for $200, the person will need 0.04 h.
Ms. Dangerfield wants to order 980 erasers for her class for the whole school year. Amazon is selling a bag of 250 erasers for a great price! How many bags of erasers should Ms.Dangerfield buy to have enough for her class this school year? You can use a number line to help you solve.
Answers
Answer:
4 packages
Step-by-step explanation:
We have to do 980/250.
So after you get that, you would get 3.92. It would not make sense to get 3.92 packages since that isn't possible on Amazon using common sense. Therefore we must round 3.92 to 4 packages.
Answer:
Ms.Dangerfeild should order 4 bags
Step-by-step explanation:
250 times 4 is 1000 so Ms.Dangerfeild will have 20 extra erasers.
what expression does the model show
i will give brainliest
help asap
Answers
Hope that helps
Students make 97.5 ounces of liquid soap for a craft fair. They put the soap in 7.5-ounce bottles and sell each bottle for $5.50$. How much do the students earn if they sell all the bottles of liquid soap? Explain.
Answers
Answer:$71.50
Step-by-step explanation:
Hello!
So first you want to find out how many bottles of soap you can make
To do that you want to divide how many ounces you have by how many ounces it takes to make 1 bottle
97.5 / 7.5 = 13
So you know you can make 13 bottles of soap
So now you want to multiply the number of bottles of soap that can be made by the amount of money you can make per bottle
13 * 5.50 = 71.50
So you know that the students can make $71.50
HELP ME WHAT IS THE ANSWER FOR Divide 758,908 ÷ 72 and indicate the remainder, if any. Use long division.
Answers
Answer:
10540.3888889
Step-by-step explanation:
May I have brainliest please? :)
What is the best estimate of
18
×
709
?
A.
9,000
B.
14,000
C.
18,000
D.
22,000
Answers
Answer:
B. 14,000
I hope that this helps you, have a wonderful day!
The best estimate from the option is 14,000 since 14,000 is the nearest value from the option to 12763.
Given,
18 x 709
We need to find the best estimate.
How do multiply numbers?We need to multiply each number of one number with the other number and add them to get the product.
Example:
21 x 34 =
21 x 3 = 63
21 x 4 = 84
2 1
x 3 4
84
+ 63
71 4
We have,
18 x 709
We can write it as:
709 x 18
709 x 8 = 5672
709 x 1 = 709
709
x 18
5672
+ 709
12762
Thus the best estimate from the option is 14,000 since 14,000 is the nearest value from the option to 12763.
Learn more about how to multiply numbers here:
https://brainly.com/question/12069004
#SPJ2
Which equation represents a line that has a slope of 3/4 and passes through the point (2;1)?
A;3y = 4x - 5
B;4y=3x - 2
C4y= 3x+5
Answers
Answer:
B
Step-by-step explanation:
m = 3/4
x1 = 2
y1 = 1
Using the formula,
y - y1 = m(x - x1)
y - 1 = 3/4(x - 2)
y - 1 = 3x/4 - 3/2
y = 3x/4 -3/2 + 1
y = 3x/4 - 1/2 (×4)
4y = 3x - 2
Therefore, the answer is B
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line that passes through (2, 1) and 3/4 as its slope.
4y = 3x - 2
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3/4
m = 3/4
The point that passes through = (2, 1)
Now,
The equation of the line is y = mx + c.
y = (3/4)x + c
We will take (2, 1) = (x, y) since it passes through the line.
1 = (3/4)2 + c
1 = 3/2 + c
c = 1 - 3/2
c = -1/2
Now,
The equation of the line that passes through (2, 1) and 3/4 as its slope.
y = (3/4)x -1/2
y = (3x - 2)/4
4y = 3x - 2
Thus,
The equation of the line that passes through (2, 1) and 3/4 as its slope.
4y = 3x - 2
Option B is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
If k=4 then the remainder of (x^3-7x+k)/x+1 is 2. True or False?
Answers
Answer:
Step-by-step explanation:
It would be true
Answer:
k=2 so false
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, DC = 12, BD = 35, and CB = 37. What is the value of the tangent of ∠B to the nearest hundredth?
Answers
Answer:
0.34
Step-by-step explanation:
Hey I need help with my math work
Answers
Step-by-step explanation:
what is the question?????
Answer:
Where is the question???
Step-by-step explanation:
Researchers randomly choose two groups from 15 volunteers. Over a period of 9 weeks, one group watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while sleeping, and researchers record dream activity. Which type of study method is described in each situation? Group of answer choices a) observational study b) controlled experiment c) survey
Answers
Answer: B. Controlled experiment
Step-by-step explanation:
This is a controlled experiment because the variables in the question are manipulated by the researcher. We are told that while one group watches television before going to sleep, the other group does not.
The controllers won't have control over the variables that were used if it was an observational study while for a survey, it has to do with collection of information regarding certain topics or happenings in order to have people's perception on the topic or area of interest.
What is the greatest common factor of 14, 51 ,21
Answers
Answer:
The answer is 1
Step-by-step explanation:
14 = 2 × 7
51 = 3 × 17
21 = 3 × 7
What is x in this question ax=12
Answers
if there no other info given to you then I guess the answer would be x = 2 since (a) would equal 6?
9514 1404 393
Answer:
x = 12/a
Step-by-step explanation:
To find the value of x, divide both sides of the equation by its coefficient.
ax = 12
(ax)/a = 12/a
x = 12/a
(-11)+(-11) i will give brainllest
Answers
Answer:
the answer is -22
Step-by-step explanation
a number x more than −13 as an expression
Answers
Answer:
x > -13
General Formulas and Concepts:
Algebra I
Writing expressionsStep-by-step explanation:
Step 1: Translate
"a number x" = s
"more than" is >
"-13" = -13
Step 2: Combine
x > -13
And we have our final answer!
Given f(x) = 5x - 3 , solve for when f(x) = 7
Answers
Answer:
32
Step-by-step explanation:
f(x) = 7, so:
5 · 7 - 3= 35 - 3 = 32
Answer:
x = 2
Step-by-step explanation:
f(x) = 5x - 3
7 = 5x - 3
10 = 5x
2 = x
So, x = 2
WILL MARK BRAINIEST IF YOU ANSWER CORRECT. BUT HELPPPP!Consider the functions ƒ(x) = 6x – 5 and g(x) = 6x + 3. Which statement compares the relationship between the graphs of the two functions?
Answers
Answer:
D) The graph of g(x) is the same as the graph of ƒ(x) translated up 8 unitsStep-by-step explanation:
Given functions
ƒ(x) = 6x – 5 and g(x) = 6x + 3We can see the slopes are same, g(x) = f(x) + 8
Answer:
D
Step-by-step explanation:
F.y=6x-5
G y=6x+3
What is the solution to the equation 3x + 2(x - 9) = 8x + x - 14?
A.-8
B.-1
C.1
D.8
Answers
hope it helps you out
Answer:
B.) -1
Step-by-step explanation:
Here, 3x + 2(x - 9) = 8x + x - 14 is given
Now, we will solve and we get,
3x + 2(x - 9) = 8x + x - 14
3x + 2x - 18 = 9x - 14
5x - 9x = 18 - 14
-4x = 4
4x = -4
x = -4÷4
x = -1
Thus, The value of x is -1
Hence, Option B is correct
-TheUnknownScientist