Answers
Answer:
x= 41
Step-by-step explanation:
3x-43= 80 is the equation since they are alternate interior angles.
Step 1- Add 43 to both sides.
3x-43= 80
+43 +43
Step 2- Divide both sides by 3.
3x= 123
3 3
x= 41
The given angles are the alternate interior angles formed by a common
transversal to two parallel lines.
The value of x for which line l is parallel to line m is c. 41°.
Reasons:
When line l is parallel to line line m, we have;
The alternate interior angles will be equal
Therefore;
(3·x - 43)° = 80°
Which gives;
[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]
The value of x is 41°Learn more here:
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Related Questions
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
Answers
Answer:
b. 988.97
Step-by-step explanation:
got a 100 on the test
The balance at the end of May after the minimum payment is made is
$571.64.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $628.16
r = 10.59%
n = 12
t = 1/12
The amount after March.
A = 628.16 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $633.48
Monthly payment.
= 3.96/100 x 633.48
= $25.09
Remaining amount.
= 633.48 - 25.09
= $609.39
The amount after April.
A = 609.39 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $614.55
Monthly payment.
= 3.96/100 x 614.55
= $24.34
Remaining amount.
= 614.55 - 24.34
= $590.21
The amount after May.
A = 590.21 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $595.21
Monthly payment.
= 3.96/100 x 595.21
= $23.57
Remaining amount.
= 595.21 - 23.57
= $571.64
Thus,
The balance at the end of May is $571.64.
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X2 - X - 12
what's the answer for this question i am stuck
Answers
Answer:
not enough info
Step-by-step explanation:
not enough info
Find the midpoint of the segment with the following endpoints.
(-1,9) and (-7,1)
Answers
Answer:
1 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
or rise over run
m=1-9/(-7)-(-1)= (-8)/(-6)= 1 1/3
Answer:
11/3
Step-by-step explanation:
Jamila paid $6 for a movie ticket, $1.59 for a small box of popcorn, and $2.50 for a drink at a movie theater. Which operation(s) would help Jamila find the total amount she spent at the theater?
Answers
Answer:
addition
Step-by-step explanation:
Answer:
It would be addition since you can see thats litterly the problem
Step-by-step explanation:
Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y.
Answers
Hey there! I'm happy to help!
Difference means that you subtract.
5-y
And we multiply this entire thing by 9, giving us 9(5-y).
Have a wonderful day! :D
The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.
Answers
Answer:
Step-by-step explanation:
From the graph attached,
Black curve represents a function f(x) = 2ˣ
When this curve is reflected over the x-axis image of the function will be,
g(x) = -[tex]2^{x}[/tex] [Red curve]
Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]
When this curve is reflected over the x-axis, image of the function will be,
h'(x) = [tex]-2^{-x}[/tex] [green curve]
[tex]-2^{x}[/tex] → Red
[tex]-2^{-x}[/tex] → Green
[tex]2^{-x}[/tex] → Blue
how would you factor a quadratic expression like 9x^2-4
Answers
Hello, we need to see it as a difference of two squares as we know that for all a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So, here
[tex]9x^2-4=(3x)^2-2^2=(3x-2)(3x+2)[/tex]
Voila !
Thank you
which operation must you use to calculate the submarine's change in elevation? which word or words in the problem signify this operation?
Answers
Answer:
The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.
Step-by-step explanation:
Correct answer
Which statement is true about this function for all values of x < 4
The function is positive.
The function is decreasing.
The function is increasing.
The function is negative.
Answers
Answer:
The Function is Decreasing.
Step-by-step explanation:
I hope this helps you :)
Answer:
I would also say that the function is decreasing.
Step-by-step explanation:
Find two consecutive integers whose product is 12.
Answers
Answer:
3 and 4
Step-by-step explanation:
Look at the factors of 12 and list them out
1 and 12
2 and 6
3 and 4
Find the 2 numbers that are consecutive
3 and 4
If the length of a box of Milk Duds box is tripled, how much longer will the box be?
Answers
Answer:
3x
Step-by-step explanation:
x = original length of the box.
~theLocoCoco
What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
Answers
(-4-3) (5+5) = -7,10
I need help with this please
Answers
Answer:
Step-by-step explanation:
For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).
For (b), you will use those 2 points to find the slope of the line using the slope formula:
[tex]m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167[/tex]
For (c), you will use point-slope form to write the equation. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.
We have m = -1.167, y = 7 and x = 7:
y - 7 = -1.167(x - 7)
That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:
y - 7 = -1.167x + 8.169 and
y = -1.167 + 8.169 + 7 so
y = -1.167 + 15.169
That's your equation in slope-intercept form, so you're done!
please help!!! urgent
Answers
Answer:
E
Step-by-step explanation:
is the answer
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answers
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
An 8ft length of 4 inch wide crown molding costs $14. How much will it cost to buy 56 ft of crown molding?
Answers
Answer:
$98
Step-by-step explanation:
56/8= 7
7x14=98
Hope this helps.
Marsha was shopping for a new dishwasher and researched the different models she could afford. Using Marsha’s frequency distribution table, determine the median price for dishwashers. Price,p($) Frequency,f 250 2 275 4 280 1 290 2 310 6 315 2 320 1 325 7 330 1 335 1 340 1 350 2
Answers
Answer
310
Step-by-step explanation:
add them all up and divide by 12
. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb
Answers
Answer:
400 feet per minute
Step-by-step explanation:
Because it's feet per minute, you'll divide 10,000 by 25
400 feet per minute
hope this is good enough
How many pounds are equal to 3 tons?
Answers
Answer:
6000 pounds Hope this helps :)
Step-by-step explanation:
Multiply by mass value 2000
Answer:
6000
Step-by-step explanation:
Find the slope of the line passing through each of the following pairs of points.
(5.7), (-6, -3)
What is this
Answers
Answer: [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
To find the slope, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-3-7}{-6-5}=\frac{-10}{-11} =\frac{10}{11}[/tex]
Now we know the slope is [tex]\frac{10}{11}[/tex].
Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? (4 points) a ∠w and ∠v; ∠x and ∠y b ∠w and ∠y; ∠x and ∠v c ∠w and ∠z; ∠x and ∠v d ∠w and ∠z; ∠x and ∠y
Answers
Answer:
a. ∠w and ∠v; ∠x and ∠yStep-by-step explanation:
We can see that the scale factor is 2
Corresponding sides have length of:
6 and 3; 4 and 2; 3 and 1.5Therefore corresponding angles, opposite to corresponding sides are:
∠x and ∠y; ∠w and ∠vCorrect answer option:
a. ∠w and ∠v; ∠x and ∠yAnswer:
His answer is correct!
Step-by-step explanation:
Got it right
The expression that represents the area of this rectangle is . When b = 10, the area of the rectangle is square units.
Answers
Answer: 8b and 80
Step-by-step explanation: H3h3
The Area of Rectangle is 80 unit².
What is Area of rectangle?The Area of rectangle is the product of its length to its width.
Area of rectangle = length x width
Given:
Expression that represents the area of this rectangle is 8b.
Now, b = 10
As, area of rectangle = l x w
area of rectangle = 8b
area of rectangle = 8 x 10
area of rectangle = 80 unit².
Hence, the area is 80 unit².
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What is the value of -42 +(5-2)(-6)?
Answers
Answer:
-60
Step-by-step explanation:
-42+3×(-6)
-42-(3×6)
-42-18
-60
3. Fill in the blanks so that the answer to this number sentence is correct: 2ab
Answers
Answer:
where's the question or the picture of the question
study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?
Answers
Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary
Answers
______is 15% of $84,652?
Answers
Answer: $12,697.80
Step-by-step explanation:
To find 15% of $84,652, you want to multiply them together.
0.15×84,652=12,697.80
Now, we know that $12,697.80 is 15% of $84,652.
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city. A person who plans to purchase one of these new cars wrote the manufacturer for the details of the tests, and found out that the standard deviation is 3 miles per gallon. Assume that in-city mileage is approximately normally distributed. What is the probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving
Answers
Given :
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city.
Standard deviation , S.D = 3 miles per gallon .
To Find :
The probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving.
Solution :
We have to find the probability , [tex]P(X\leq 20)[/tex] .
Here , we will use the excel function
So ,
[tex]P(X\leq 20)=NORMADIST( 20, 27 , 3 , 1 )=0.009815[/tex] .
Therefore , probability is 0.009815 .
Simplify the expression to a polynomial in standard form:
(x - 2)(x^2 - 2x- 9)
Answers
Answer:
x^3-4x^2-5x+18
Step-by-step explanation:
When you distribute (x-2) (x^2-2x-9) you get x^3-2x^2-2x^2+4x-9x+18 combine like terms and you get your answer
what is 0.004 ⃝ 4.00 *
Answers
0.004 < 4.00
Hope this helps! :)