In the diagram, m || n. Find the value of x. Explain how you obtained your answer.
Answers
Answer:
x = 67°
Step-by-step explanation:
It's given that m║n.
Construction done: A line 't' parallel to the given lines 'm' and 'n'.
Since, m║t and a transversal line is intersecting these lines.
m∠a = 35° [Alternate interior angles]
m∠c = 180° - 148° [∠c and angle measuring 148° are the linear pair of angles]
= 32°
n║t and a transversal line is intersecting these lines.
Since, ∠b ≅ ∠c [Alternate interior angles]
m∠a + m∠b = m∠x [Angle addition postulate]
x = 32° + 35°
x = 67°
Therefore, measure of angle x is 67°.
Related Questions
Please help ASAP!!!! Due in 5
Answers
Answer:Y=2
Step-by-step explanation:
Answer:
y =-1
Step-by-step explanation:
NEED HELP ASAP! 50 POINTS!
The line with slope when m= -4/7 and (0,-11). Use point slope formula, y - yo =m (x - x0)
Answers
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to
buy one cup of coffee. The original amount of money on the gift card was $10 and
each
cup
of coffee costs $2. Write an equation for A, in terms of x, representing the
amount money remaining on the card after buying x cups of coffee.
Answers
Answer:
$10 - $2x = A
Step-by-step explanation:
The equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. The original amount of money on the gift card was $10 and each cup of coffee costs $2.
The equation will be written as below,
$10 - $2x = A.
A is the amount of money remaining on the card
x is cups of coffee.
Therefore, the equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.
To know more about an expression follow
https://brainly.com/question/19826878
#SPJ5
The sum of 4 plus 7 equals 44
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First you have to translate it into an understandable equation like this...
[tex]4+7=44[/tex]
You don't have to solve it because it is obvious that 4 and 7 don't add up to 44.
Answer:
Step-by-step explanation:
4+7=44
11=44
11-44 is -33 i guess is what you are looking for?
Each year a store decreased the price of a certain model of TV by $35. If the
price in 2001 was $1,950, what was the price in 2009?
Group of answer choices
Answers
Answer:
1,670
Step-by-step explanation:
35 x 8 = 280
1,950 - 280 = 1,670
I need help finding the slope, the Y intercept and the equation for this graph???
Answers
Answer:
Step-by-step explanation:
y intercept is 4
slope is 6/3 is 2
y=2x+4
What is the distance in the map (in centimeters) represents an actual distance of 4 kilometers?
Answers
Answer:
400k four hundred thousand centimeters is 4 kilometers
if y= 6 when x= 24, find the value of x when y= 7
Answers
Answer:
x=28
Step-by-step explanation:
the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value
-Hope this helps
Answer:
x=28 Hope this helps
Help!!
Find the difference between and 8/15 and-2/3. Show all calculations in your final answer.
Answers
Answer:
-2/15
Step-by-step explanation:
8/15-2/3
8/15-10/15
-2/15
Common Denominator
Two angles of a triangle measure 55° and 20°.
What is the measure of the third angle of the triangle?
A. 15°
B. 90°
C. 105°
D. 2850
Answers
Answer:
C. 105 is the answer
Step-by-step explanation:
Find the value of each power
Answers
Answer:
(20). 256^0 = 1
(21). 10^2 = 100
(22). 4^4 = 256
(23). 3^5 = 243
Step-by-step explanation:
(20). 256^0 = 1
(21). 10^2 = 10*10 = 100
(22). 4^4 = 4*4*4*4 = 256
(23). 3^5 = 3*3*3*3*3 = 243
The equation [BLANK] has no solution.
ANSWERS:
13y+2-2y=10y+3-y
9(3y+7)-2=3(-9y+9)
32.1y+3.1+2.4y-8.2=34.5y-5.1
5(2.2y+3.4)=5(y-2)+6y
Answers
Answer:
5(2.2y+3.4)=5(y-2)+6y has no solution
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The third one down.
32.1y+3.1+2.4y-8.2=34.5y-5.1
Combine like terms
34.5y + 3.1 - 8.2 = 34.5y - 5.1
34.5y - 5.1 = 34.5y - 5.1 y can be anything
===========================
Remove the brackets from D
11y + 17 = 5y - 10 + 6y
11y + 17 = 11y - 10
This gives 17 = - 10 which of course is nonsense.
D has no solution.
Richard and Teo have a combined age of 35. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Answers
Answer: Teo is 10 years old and Richard is 25 years old
h(x)=2x+5 k(x)=x+3 find (h(k(x)))
Answers
Answer:
h(k(x)) = 2x + 11
Step-by-step explanation:
Step 1: Define
h(x) = 2x + 5
k(x) = x + 3
h(k(x))
Step 2: Substitute and Evaluate
k(x) = x + 3 = x
h(k(x)) = 2(x + 3) + 5
h(k(x)) = 2x + 6 + 5
h(k(x)) = 2x + 11
Write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form
Answers
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
We have our m, which is slope, but we need our y intercept, b.
Substitute your slope, x, and y into the formula and solve for b.
5=3(1)+b
5=3+b
-3 -3
2=b
Now we can plug into equation.
y=3x+2
Simplify:
3c-5d+5d
Pls
Answers
Answer:
3 c
Step-by-step explanation:
Simplify the following:
5 d - 5 d + 3 c
Hint: | Combine like terms in 5 d - 5 d + 3 c.
5 d - 5 d = 0:
Answer: 3 c
Answer:
3c-10d is the supposed awnser I think
Use the graph to evaluate the function.
f(-5) =
y
-8 -6
Answers
Answer:
-4
Step-by-step explanation:
Go to x value of -5 and go down until you touch line.
find x
3x
2x+40
x+50
4x
Answers
Answer:
27
Step-by-step explanation:
The sum of all exterior angles of any quadrilateral= 360°
3x+2x+40+x+50+4x = 360°
11x + 90 = 360°
11x = 360 - 90
10x = 270
x = 270/10
x = 27
need this asap please !:)
at a local strawberry farm customers fill a bucket with strawberries. the function f(x)=4x models the cost for the strawberries, where x is the number of pounds of strawberries in
the bucket. a bucket can hold up to 10 pounds of strawberries. which is an appropriate domain of the function?
*answer choices in picture!*
Answers
answer - o<x<10
thank me later
Explain how to divide an integer by a decimal
Answers
Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.
Step-by-step explanation:
What are the first 4 terms use the explicit rule:
f(n)= 3n-1
(show your work)
Answers
Answer:
25811Step-by-step explanation:
We are given the rule [ f(n) = 3n - 1 ] and n represents the term.
First term:
f(n) = 3n - 1
f(1) = 3(1) - 1
f(1) = 3 - 1
f(-1) = 2
Second term:
f(n) = 3n - 1
f(2) = 3(2) - 1
f(2) = 6 - 1
f(2) = 5
Third term:
f(n) = 3n - 1
f(3) = 3(3) - 1
f(3) = 9 - 1
f(3) = 8
Fourth term:
f(n) = 3n - 1
f(4) = 3(4) - 1
f(4) = 12 - 1
f(4) = 11
As you can see, the common difference is 3.
Best of Luck!
Answer:
2,5,8,11
Step-by-step explanation:
If n=1, 3n-1 =3*1-1 =3-1 =2
If n=2, 3n-1 =3*2-1 =6-1 =5
If n=3, 3n-1 =3*3-1 =9-1 =8
If n=4, 3n-1 =3*4-1 =12-1 =11
in a complete sentence describe how much smaller the 3 in 743,857 is than the 3 in 735,957
Answers
Answer:
The 3 in 743,857 is 27,000 less than the 3 in 735,957.
Step-by-step explanation:
in 743,857 the 3 is 3,000
in 735,957 the 3 is 30,000
30,000 - 3,000 = 27,000
The price at an item has been reduced by $3.49. The original price was $66.75. What is the price now?
Answers
Answer:
i need help
Step-by-step explanation:
waaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Anyone know how to do??
Answers
Answer:
x = 15°
Step-by-step explanation:
∠2 and ∠4 are same-side interior angles, meaning they add up to 180
2x + 10 + 4x + 80 = 180
Rearrange (collect like terms)
6x = 180 - 80 - 10
6x = 90
x = 15°
Answer:
x = 15Step-by-step explanation:
∠2 = 2x + 10
∠4 = 4x + 80
∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180
2x + 10 + 4x + 80 = 180
combine similar terms: 6x = 180 - 80 - 10
simplify: 6x = 90
solve for x = 90 / 6
x = 15
Write the equation of the line that passes through the given points.
(0, -3) and (-4,-10)
Answers
Answer: y = (7/4)x - 3
Step-by-step explanation:
m = (-10 - (-3))/(-4 - 0) = -7/(-4) = 7/4
y-intercept = (0, -3)
y = (7/4)x - 3
Having chosen to use a survey to obtain descriptive data on consumers and their drink preferences, you now need to decide how to contact consumers. You want to gather a large quantity of data fairly quickly, while not incurring high costs. How will you collect this data?
Answers
Answer:
Telephone interview, emails
Step-by-step explanation:
From the question you are trying To minimize cost in the collection of the survey data. To do this, we can use either phone interviews or emails. Using telephone methods have high rates of response and we can easily gather responses. It also gives an opportunity to answer any question respondents may have. Email surveys gives an opportunity for respondent's to share more sensitive details and also respond at their own time.
Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)
p(x)=8x^2
g(x) = x^2
Answers
Answer:
Step-by-step explanation:
p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8) on the y axis and rises steeply to the right.
g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).
and opens upwards either side of the y-axis. This type of curve is called a parabola.
what is the total area of the three triangle ?
Answers
Answer b. 13 square units
A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.
The circle at the new location has the original circle.
the same center as
twice the circumference of
half the radius of
the same area as
Answers
Options
The circle at the new location has _____________ the original circle.
- the same center as
- twice the circumference of
- half the radius of
- the same area as
Answer:
the same area as
Step-by-step explanation:
When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.
This is so because, translation and reflection only affect the positioning of the circle not the size.
Considering the above analysis, we can conclude that option d answers the question correctly.
Answer:
the same area as
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.85 . Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 2.95 . For the males, the mean ERA was 4.893 and the standard deviation was 0.949 . For the females, the mean ERA was 4.348 and the standard deviation was 0.997 . Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Answers
Answer:
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ?
Terry had a better year because he had a lower Era and he was a better pitcher.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
any male pitcher at his school,
For Thomas:
z = (x-μ)/σ
x = 2.85 μ = 4.893 σ = 0.949.
z = 2.85 - 4.893/0.949
z = -2.15279
For Karla
z = (x-μ)/σ
x = 2.95 μ = 4.348 σ = 0.997.
z = (2.95 - 4.348) /0
z = -1.40221
Their respective z-scores are:
Thomas : -2.15279
Karla : -1.40221
Which player had the better year relative to their peers, Terry or Karla ? (Note: In general, the lower the ERA, the better the pitcher.)
Terry had a better year because he had a lower Era and he was a better pitcher.