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?
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:
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
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}
PLEASE HURRY MATH BREAINLEST HELP
Answer:
Step-by-step explanation:
531441 or 3^12
25
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?
Answer:
18 gallons of water in the aquarium
what is 21uv+8b+3u+56bv?
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 :
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You are shopping for school supplies and want to decide where you should buy pencils from. SupplyCo sells a 10 pack of pencils for $0.95. SchoolShop sells a 10 pack of pencils for $1.45 but you have a $3.00 coupon. How many packs of pencils would you have to buy for the prices to be the same at each store?
Answer:
120 (60 from each store)
Step-by-step explanation:
Given that:
Price for 10 pack of pencils at SupplyCo = $0.95
Price for 10 pack of pencils at SchoolShop = $1.45
Discount coupon at SchoolShop = $3.00
Let the number of packs of pencils bought = [tex]2x[/tex] (in pack of 10)
Then [tex]x[/tex] will be the number of packs of 10 bought at each store.
Therefore, price at SupplyCo for [tex]x[/tex] packs (in pack of 10) = [tex]0.95x[/tex]
And price at SchoolShop for [tex]x[/tex] packs (in pack of 10) = [tex]1.45x-3.00[/tex] (because there is a coupon of $3.00)
As per question statement, price at both the stores is same:
[tex]0.95x=1.44x-3\\\Rightarrow 0.5x=3\\\Rightarrow x=6[/tex]
Therefore, number of packs bought = [tex]2x\times 10 = 2\times 6\times 10 =\bold{120}[/tex] (60 from each store)
Will mark brainliest pls help thx
If you are considering speed regardless of direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
Although if direction matters, then one number has to be negative since the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
we can describe 3x-2 as an expression.
how can we describe the parts of the expression the arrows point to
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'.WILL GIVE BRAINLIEST PLS!! Graph the system of equations. {x−y=6 4x+y=4 Use the Line tool to graph the lines.
Answer:
Step-by-step explanation:
Please I need help, JUST one problem.
I need to show my work please!!
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
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?
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
how do i find the value of x in -5 = .5x
Answer:
[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]
Step-by-step explanation:
this is the step
Find the measure of Angle F ASAP thank u !!
Answer:
its 40
Step-by-step explanation: 65+75= 140 180-140=40
give brainliest plz lol
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.
Answer:
Yes, Nevan wins = 96
Step-by-step explanation:
58(7/4)-22(1/4) = 96
Given △ACP ≅ △LNX, find each missing measure.
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.
manoj buys a leather coat costing Rs.900 at Rs 990 after paying the vat . calculate the rate of VAT changed on the coat .
Step-by-step explanation:
Original cost = 900
Cost after VAT = 990
VAT amount = 990 - 900 = 90
Rate of VAT = 90/900×100 = 90/9 = 10%
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?
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
Kim and Anthony start a dog walking business. During their first week, they paid $10 to make their business cards. Kim walked a dog for 15 minutes.
Part A - Which integers represent the dollar amounts either spent or earned during their first week Kim and Anthony were in business? Fill in all that apply.
$5 -$5 $10 -$10 -$6
Answer:
-10$
Step-by-step explanation:
Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$
Reflect over the line y = x
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)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
Can somebody solve this problem please
Answer:
4cm.
Step-by-step explanation:
let x represent the missing number.
From the question:
7 + x = 11
x = 11 - 7 = 4cm.
Select all of the points that are solutions to the linear equation 2x + 9y = 54
good luck
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
Answer:
-4.5
Step-by-step explanation:
24% of 398 what is it
Answer:
24 percent (calculated percentage %) of number 398,
Answer: 95.52
Step-by-step explanation:
hope it helps
Answer:
95.52
Step-by-step explanation:
What does x equal in 2x-5
Answer:[tex]2^{x}[/tex] = 16
Step-by-step explanation:
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!!
Answer:
They would vary directly because more number of workers means more pieces in given time and vice versa.
Step-by-step explanation:
Using the triangle below, set up and solve an equation in order to find the value of x.
PLEASE HELP MEEE WILL GIVE YOU BRAINLIEST
Answer:
90+15x+8x-2=180
Step-by-step explanation:
answer is 4
have a great day love!
Answer:
The answer is 4
90+15x+8x-2=180
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.
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.
Help please?????????
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
Answer:
The correct answer is third option N K
Answer:
NK
Step-by-step explanation: