Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.
Answer:
30° and 150°
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Answer:
30 and 150
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Please help me I will really appreciate it!!!
Answer:
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Step-by-step explanation:
solve for t
h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2
-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides
-2h + 2 = a[tex]t^{2}[/tex]; divide by a
(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
Answer:
8/4 and 2/1(or just 2)
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the numbers-
(9-1)/(1+3) and (-7+9)/(-1+2)
last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run
Answer:
54 miles
Step-by-step explanation:
86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles
Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.
Let x = miles Bianca ran
x + 22 = miles Kiera ran
combined total of their miles is 86 miles
x + (x + 22) = 86
solving for x
2x + 22 = 86
2x = 86 - 22
2x = 64
x = 64 / 2
x = 32
therefore, Bianca ran for 32 miles.
learn more about miles here
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A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?
Answer:
C(12)=$570.18
C(20)=$57.08
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.
The depreciation model is:
[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]
Operating:
[tex]C(t)=18,000\cdot 0.75^t[/tex]
At t=12 years, the price will be:
[tex]C(12)=18,000\cdot 0.75^{12}[/tex]
C(12)=$570.18
At t=20 years, the price will be:
[tex]C(20)=18,000\cdot 0.75^{20}[/tex]
C(20)=$57.08
8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe
Answer:
1/6
Step-by-step explanation:
ive seen that question b4
2 pounds of flour are required to make 1 recipe, as of the given condition.
Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.
Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.
Learn more about simplification here:
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fine the exact rationalized value of sin(25π/6)
what is the slope of ( -4,-1) , (8 - -7)
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
ax = bc - c solve for x
Answer:
X = c - b/a
Step-by-step explanation:
Answer:
x=bc/a - c/a
You simplify it like you would any equation, only difference is it does not have numbers.
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
if you haven't pulled a knife out on yo siblings you aint real siblings
Answer:
yup
Step-by-step explanation:
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?
Answer:
42°
Step-by-step explanation:
Subtract: 63 - 21 = 42°
Answer:
42°F
Step-by-step explanation:
63-21=42°F
if it fell, it means it went down, so it got colder
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?
Answer:
24 individuals
Step-by-step explanation:
Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...
($480 - $120) / $15 = x
$360 / $15 = x
24 = x
Finally, we can see that a total number of 24 individuals attended the party
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
Translate the following statement: "Your grade, g, must be at least
75 to pass this class."
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
Passing through (-3,2) and (6,2) what is the slop intercept form of the equation of the line?
Answer:
The slope would be 0
Step-by-step explanation:
The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!
15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles
Answer:
Can you be more specific if you can I will answer in the comments :)
Step-by-step explanation:
A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?
True or False: A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.
The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
[tex]\frac{y2 - y1 }{x2 - x1}[/tex]
Now plug in your points
[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
(picture) what is the answer if x=-2
If x = 2
then
3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #
Therefore, if x = 2 then it's 9