Answers
Answer:
x = 17
Step-by-step explanation:
Since it shows that the diagram is corresponding angles, we can set them equal to each other.
8x + 20 = 11x - 31
-3x = -51
x = 17 degrees
Related Questions
Given △ACP ≅ △LNX, find each missing measure.
Answers
9514 1404 393
Answer:
XL = 13 cm, m∠L = 29°
AC = 21 cm, m∠C = 29°
PC = 13 cm, m∠Y = ?? (there is no angle Y in the figure)
Step-by-step explanation:
The figure on the right shows the triangles are isosceles, with XL = XN. That means also PA = PC. Those side lengths are all the same: 13 cm.
PA = PC = XL = XN = 13 cm
In the same fashion, ...
LN = AC = 21 cm
__
Of course, the angles have a similar relationship:
∠A = ∠C = ∠L = ∠N = 29°
The two base angles in the triangle add to 58°, so the third angle is ...
180° -58° = 122°
∠P =∠X = 122°
_____
Additional comment
As is often the case in over-specified problems, the numbers shown are not consistent The attached figures show the length LN is actually incorrect for the angle and side specified for triangle ACP, or the angles are incorrect for the side lengths specified. What this means is that the answers you get will depend on how you work the problem. Above, we have taken the given numbers and relationships at face value, even though we know they are incorrect.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full.
Irene's car had
6.1 gallons in the
14-gallon tank on the coldest day of the year.
Irene filled the tank with gas that cost $
3.80 per gallon. How much did
Irene spend on gas?
Answers
Answer:
Well, she spent $1.66 to add enough fuel to her tank to be half full.
Step-by-step explanation:
[tex]\frac{6.1 gallons 3.80}{14 gallon tank}[/tex]= 1.66
Recall the scenario about Eric’s weekly wages in the lesson practice section. Eric's boss has been very impressed with his work. He has given him a $2 raise and now Eric earns $12 an hour. His boss also has increased Eric’s work hours to 10 to 25 hours per week. The restrictions remain the same; he needs to work a full-hour in order to get the hourly wage (i.e. working 1.5 hour does not pay him for 1.5 hours but for one hour).
1.) function equation
2.) domain of the function in the set notation
3.) range of the function in the et notation
Answers
Answer:
f(x)= 12x where x is the number of hours worked (only whole numbers)
Domain= {10,11,12,13,.............., 25}
Range = { $ 120, $ 132, $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228, $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}
Step-by-step explanation:
Let x be the number of hours worked then the function will be
f(x)= 12 (x) for {x=10,11,12,13,.............., 25}
x cannot taken any fractional value or decimal value.
The domain of the function is the input values
Domain= {10,11,12,13,.............., 25}
Now range of the function is the set of all possible output values
f(10)= 12 *10= $ 120
f(11)= 12 *11= $ 132
f(12)= 12 *12= $ 144
f(13)= 12 *13= $ 156
f(14)= 12 *14= $ 168
f(15)= 12 *15= $ 180
f(16)= 12 *16= $ 192
f(17)= 12 *17= $ 204
f(18)= 12 *18= $ 216
f(19)= 12 *19= $ 228
f(20)= 12 *20= $ 240
f(21)= 12 *21= $ 252
f(22)= 12 *22= $ 264
f(23)= 12 *23= $ 276
f(24)= 12 *24= $ 288
f( 25) = 12*25= $ 300
Range = { $ 120, $ 132, $ 144,$ 156 ,$ 168, $ 180, $ 192, $ 204, $ 216, $ 228, $ 240, $ 252, $ 264, $ 276, $ 288, $ 300}
16 factory workers made 49 pieces in a certain amount of time. Do these quantities(number of workers and number of pieces produced) vary directly or inversely?
Please explain how you got it!!
Answers
Answer:
They would vary directly because more number of workers means more pieces in given time and vice versa.
Step-by-step explanation:
A NASA spacecraft once landed on the surface of the asteroid named 433 Eros.This asteroid is near Earth and has an average orbital speed of 24.36 kilometers per second. What is its speed in meters per second? 0.02436 meters per second 0.2436 meters per hour 2,460 meters per hour 24,360 meters per second
Answers
Answer:
24,360 meters per second
Step-by-step explanation:
The average speed = 24.36 kilometer per second
We were asked to convert this to meters per second
1 kilometre = 1000 metres
Hence
24.36km/s = 24.36 × 1000 meters/seconds
= 24,360 meters/seconds.
The average speed of the asteroid is 24,360 meters/seconds.
Answer:
24,360 meters per second
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify the expression. − 5 + i/ 2 i
Answers
Answer:
-4.5
Step-by-step explanation:
A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster than the other , and if they meet 2 hours later , how fast is each one walking?
Answers
The speed of first hiker is 4 mph and speed of second hiker is 5 mph.
Speed of hiker:Let the speed of first hiker is x mph.
Since If one walks at a rate that is 1 mph faster than the other .
so taht speed of second hiker = (x + 1) mph
It is given that, pair of hikers are 18 miles apart and they meet 2 hours later .So that,
2x + 2(x + 1) = 18
2x + 1 = 9
2x = 9 - 1 = 8
x = 8/2 = 4
Hence, the speed of first hiker is 4 mph and speed of second hiker is 5 mph.
Learn more about the speed and distance here:
https://brainly.com/question/24295081
Reflect over the line y = x
Answers
Answer:
After the reflection over the line y=x, the image points are:
A'(-1, -2) B'(3, -1) C'(2, -3)Step-by-step explanation:
We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.
i.e.
The reflection of the point (x,y) across the line y = x is the point (y, x).Given
A(-2, -1)B(-1, 3)C(-3, 2)so after the points reflected cross the line y = x
P(x, y) → P'(y, x)
A(-2, -1) → A'(-1, -2)
B(-1, 3) → B'(3, -1)
C(-3, 2) → C'(2, -3)
Therefore, after the reflection over the line y=x, the image points are:
A'(-1, -2) B'(3, -1) C'(2, -3)p(x)= 2x + 3. Find P(O).
P(0) =
Answers
Answer:
3
Step-by-step explanation:
p(x)= 2x+3
p(0)=p(x=0)= 2*0 +3 =3
PLEASE HELP TIMED TEST
Which list contains only dependent qualities from the graph?
O 8, 9, 11, 12
O 8, 48, 9, 54
48, 50, 52, 54
O 48, 54, 55, 61
Answers
Can I have a brain list
how do i find the value of x in -5 = .5x
Answers
Answer:
[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]
Step-by-step explanation:
this is the step
Give the slope of a line perpendicular to y = -5
PLEASE I NEED HELP
Answers
Answer:
its undefined. sorry but i dont know how to explain this
we can describe 3x-2 as an expression.
how can we describe the parts of the expression the arrows point to
Answers
Answer:
we can describe the parts of the expression that the arrows
point to 3x-2 such as:
↑(x variable)
[tex]3x-2[/tex] ← (2 constant)
↓
(3 coefficient)
Step-by-step explanation:
Given the expression
[tex]3x-2[/tex]
As we have to describe the parts of the expression the arrowspoint to [tex]3x-2[/tex].
we can describe the parts of the expression that the arrows
point to 3x-2 such as:
↑(x variable)
[tex]3x-2[/tex] ← (2 constant)
↓
(3 coefficient)
Therefore, it is clear that:
The upper arrow '↑' points to the variable part 'x' of expression which is 'x'.The lower arrow '↓' points to the coefficient part of the expression which is '3'.The arrow '←' points to the constant part of the expression which is '2'.A man receives Rs. 60 for the first week and Rs. 3 more each week than the preceeding week. How much does he earns by the 20th week
Answers
Answer:
The man's income by the 20th week will be Rs. 1770
Step-by-step explanation:
Given that the income of man in first week is Rs. 60
It is also mentioned that the income increases every week then the previous one.
which means the weekly incomes will be like:
60,63,66,69.....
As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.
Where
[tex]a_1 = 60\\d = 3[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values of d and a_1 we get
[tex]a_n = 60+(n-1)(3)\\a_n = 60+3n-3\\a_n = 57+3n[/tex]
This is the general formula to find the income of any week. Now for 20th week,
n = 20
[tex]a_{20} = 57+(20)(3)\\a_{20} = 57+60\\a_{20} = 117[/tex]
The income for 20th week is 117.
As we have to find the total income for 20 weeks
We will use the summation formula for arithmetic sequence.
[tex]S_n = \frac{n}{2}(a_1+a_{20}})[/tex]
Putting the values
[tex]S_n = \frac{20}{2}(60+117}\\S_n = 10(177}\\S_n = 1770\ Rs.[/tex]
Hence,
The man's income by the 20th week will be Rs. 1770
I need help on this. Can someone please help me??
Answers
Answer: A
Step-by-step explanation: if you want me to explain just comment
Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angles are congruent, then two lines are parallel. Vertical angles are always congruent. Vertical angles are supplementary if two lines are parallel.
Answers
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
Please I need help, JUST one problem.
I need to show my work please!!
Answers
Answer:
proved that x=9
Step-by-step explanation:
A line that splits an angle into two equal angles. ("Bisect" means to divide into two equal parts)
so <CAB=<DAB
7x+2=5(x+4)
7x+2=5x+20
7x-5x=20-2
2x=18
x=9
6th time i posted this, could someone help me?
Answers
Answer:
it's blurry
Step-by-step explanation:
To win a trivia game, Nevan must score 90 points. Each correct answer is worth 134 points, and each incorrect answer is worth −14 points. If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score? Heats a beaker of water to a boil. Then he records that the water temperature decreases from 100°C to 19°C in 525 minutes. What was the change in temperature each minute? Enter your answer in the box.
Answers
Answer:
Yes, Nevan wins = 96
Step-by-step explanation:
58(7/4)-22(1/4) = 96
(ó﹏ò｡) hey uh- a lil' help here pls
As a young girl, Carmen enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Carmen builds wooden furniture for a living. Her most popular product is a cedar porch swing.
There is a proportional relationship between the time (in days) Carmen spends making porch swings, x, and the number of swings she builds, y.
x (days) y (swings)
12 6
16 8
18 9
20 10
What is the constant of proportionality? Write your answer as a whole number or decimal.
swings per day
Answers
Answer:
Try using slope formula
Step-by-step explanation:
You can use the formula of m= ((y2)-(y1)/((x2)-(x1))
I hope this helps
Well, it's really simple actually. You don't need to focus on all those extra words on the top, focus on days and swings
In 20 days, Carmen swings 10 times.
In 10 days, Carmen swings 5 times.
If you notice, Y is multipled 0.5 of the original, so half
This means, 1 day (X) is swung 0.5 (Y)
I think Carmen is a possesed little girl for pulling that off
If you have any questions, feedback, or problems, let me know
Can somebody solve this problem please
Answers
Answer:
4cm.
Step-by-step explanation:
let x represent the missing number.
From the question:
7 + x = 11
x = 11 - 7 = 4cm.
PLEASE HELP PLEASE I WILL THANK YOU!!
If you want to purchase a 5-inch fish, two 2-inch fish, and
three 3-inch fish, how many gallons of water should the
aquarium hold?
Answers
Answer:
18 gallons of water in the aquarium
3b=2p-7 make p the subject
Answers
Answer:
p = (3b + 7)/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
3b = 2p - 7
Step 2: Solve for p
Add 7 to both sides: 3b + 7 = 2pDivide 2 on both sides: (3b + 7)/2 = pRewrite: p = (3b + 7)/2And we have our final answer!
Step-by-step explanation:
3b = 2p - 7
make p stand alone
3b + 7 = 2p
dividing both sides by 2
p = (3b + 7)/2
What does x equal in 2x-5
Answers
Answer:[tex]2^{x}[/tex] = 16
Step-by-step explanation:
what is 21uv+8b+3u+56bv?
Answers
Answer:
(1+7v) (3u+8b)
Step-by-step explanation:
Check the coefficents v is common in 21uv and 56bvb is common in 8b and 56bvu is common in 21u and 3uAdd and subtract the second term to the expression and factor by groupingCheck using FOIL: First,Outer,Inner,LastHope this helps!!
The required solution would be (1+7v)(3u+8b) of the given expression.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given the expression as:
⇒ 21uv + 8b + 3u + 56bv
There is v common in 21uv and 56bv
There is b common in 8b and 56bv
There is u common in 21u and 3u
We have to Add and subtract the second term to the expression and factor by grouping, we get
⇒ (1+7v)(3u+8b)
Therefore, the required solution would be (1+7v)(3u+8b) of the given expression.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
Help please?????????
Answers
.........................
In order for us to use any of the angle relationships, what must be true about the two lines that are cut by the transversal?
Answers
Answer: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles .
Step-by-step explanation:
Select all of the points that are solutions to the linear equation 2x + 9y = 54
Answers
good luck
Step-by-step explanation:
WILL GIVE BRAINLIEST PLS!! Graph the system of equations. {x−y=6 4x+y=4 Use the Line tool to graph the lines.
Answers
Answer:
Step-by-step explanation:
Based on the side-splitter theorem, which side length would complete the proportion? StartFraction J M Over M K = StartFraction L N Over question mark EndFraction JL KL NK NM
Answers
Answer:
The correct answer is third option N K
Answer:
NK
Step-by-step explanation: