Answers
Answer:
3 and 13 are supplementary angles.
8 and 10 are vertically opposite angles.
11 and 15 are co - interior angles.
8 and 16 are vertically opposite angles.
1 and 6 are alternating angles.
6 and 10 are supplementary angles.
14 and 15 are supplementary angles.
Related Questions
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answers
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answers
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
6th grade math help me pleaseee
Answers
Answer:
A) 3(2x-1) --> 6x - 3
B) 10(b+4c) --> 10b + 40c
C) 9(g-5h) --> 9g - 45h
D) 7(4n-5m-2) --> 28n - 35m - 14
E) a(b+c+1) --> ab + ac + a
F) (8j-3l+9)6 --> 48j - 18l + 54
G) (40s+100t)/10 --> 4s + 10t
H) (48p+24)/6 --> 8p + 4
I) (2b+12)/2 --> b + 6
J) (20r-8)/4 --> 5r - 2
K) (49g-7)/7 --> 7g - 1
L) (14g+22h) / 1/2 --> 28g + 44h
X + 2y = 10
3x + 4y = 8
Which point is the solution to the system of equations?
Answers
Answer:
x = -12
y = 11
Step-by-step explanation:
i used substitution and let 'x' = 10 - 2y
3(10 - 2y) + 4y = 8
30 - 6y + 4y = 8
30 -2y = 8
-2y = -22
y = 11
x + 2(11) = 10
x + 22 = 10
x = -12
Carlos debe estudiar para seis evaluaciones para ello distribuirá entre las seis materias 1/4 del tiempo del que dispone este fin de semana
Answers
Answer:
[tex]Tiempo = \frac{1}{24}[/tex]
Step-by-step explanation:
La pregunta está incompleta, sin embargo, una posible pregunta podría ser calcular el tiempo que Carlos dedicará a estudiar cada asignaturas.
Para hacer esto, simplemente dividimos el tiempo disponible por el número de asignaturas.
Tenemos:
[tex]Tiempo\ disponible = \frac{1}{4}[/tex]
[tex]Numero\ de\ sujetos = 6[/tex]
Solución
[tex]Tiempo = \frac{Tiempo\ disponible}{Numero\ de\ asignaturas}[/tex]
[tex]Tiempo = \frac{1}{4} / 6[/tex]
[tex]Tiempo = \frac{1}{4} * \frac{1}{6}[/tex]
[tex]Tiempo = \frac{1}{24}[/tex]
Esto significa que dedicará 1/24 de su tiempo a cada
Is this a function?
Help me plz and i will give you the brainlest
Answers
Answer:
It is a function because the input values are different.
Find the solution of the system of the equation 4x+10y=-24
-2x+y=-24
Answers
Answer:
4x+10y=-24
-2x+y=-24
2x+11y=-48
48+2x=0
48+11y =0
48=2x
48=11y
48/2 =2x/2
48/11=11y/11
x=24
y= 48/11
what is a linear equation
Answers
Answer:
A linear equation is an algebraic equation of the form y=mx+b. Where m is the slope and b is the y-intercept. A linear equation most times is called a "linear equation of two variables," where y and x are the variables.
Step-by-step explanation:
Helpy helps me with this question
Answers
Answer:
it's the third one cuz the rest aren't divisible by 5:00 because the five usually goes up by then by fives then zeros so the end since it's a zero it's divisible by five
Answer:#3 5990
Step-by-step explanation:
5 10 15 20 25 the others dont have a five or a zero at the end
HELP‼️❗️‼️❗️‼️❗️‼️
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions
Answers
Ones that have an answer intersect.
Help pleaseeeeee! i dont remember all of this
Answers
Answer:
35cm3
Step-by-step explanation:
7x5=35
Answer: The correct answer is 35. 7 * 5 = 35
Step-by-step explanation:
Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
Answers
Answer:
6 weeks
Step-by-step explanation:
You need to write an equation for each.
For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.
For Elena, she has 10 dollars, and gets 20 each week.
Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.
Andrew:100+5(4)=100+20+120
Elena: 10+20(4)=10+80=90
Andrew has more money in this time.
To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.
Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.
100+5w=10+20w
90+5w=20w
90=15w
90 divided by 15=6
w=6
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answers
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
A line contains the points (2,4) and (6,16). Write the linear function for the line in the form y=Mx+b
Answers
Answer:
y = 3x - 2
Step-by-step explanation:
Given the points :
(2,4) and (6,16).
x1 = 2 ; y1 = 4 ; x2 = 6 ; y2 = 16
Y = mx + b
m = slope
b = intercept
m = Rise / Run
Rise = y2 - y1 = 16 - 4 = 12
Run = x2 - x1 = 6 - 2 = 4
m = 12 / 4 = 3
Y = 3x + b
4 = 3(2) + b
4 = 6 + b
4 - 6 = b
b = - 2
Equation becomes ;
y = 3x - 2
PLZZZ HELP I WILL GIVE BRAINLIEST
Solve the equation
(x-3)^3-( x - 1 )^3 + 7x^2 = 7(3x - 4 )
Answers
x^3-9x^2+27x-27-x^3+3x^2-3x+1+7x^2=21x-28
x^2+24x-26=21x-28
x^2+24x-26-21x+28=0
x^2+3x+2=0
factor the expression
(x+2)(x+1)=0
sooo x1=-2 x2=-1
Answer:
(x - 3)³ - (x - 1)³ + 7x² = 7(3x - 4)
=> x³ - 9x² + 27x - 27 - (x³ - 3x² + 3x - 1) + 7x² - 21x + 28 = 0
<=> -2x² + 6x + 1 + 3x² - 3x + 1 = 0
<=> x² + 3x + 2 = 0
<=> (x + 1)(x + 2) = 0
<=> x + 1 = 0 or x + 2 = 0
<=> x = -1 or x = -2
find the volume of this prism
Answers
Answer:
i think it's 46.............
15 x 12 x 6 = 1080
10 x 4 x 6 = 240
1080 - 240 = 840
Find the surface area of the figure .
Answers
Answer:
356.4
r =4
h =12
just put it in this formula
2 pie r ( r + h )
GOOD LUCK FOR THE FUTURE! :)
A rental car company charges 69.60 per day to rent a car and 0.15 for every mile driven khloe wants to rent a car knowing that she plans to drive 325 miles she has at most 380 to spend
Answers
Answer:
118.35
Step-by-step explanation:
Equation: 69.60 + 0.15x (x being miles)
New equation: 69.60 + 0.15(325)
= $118.35
Over the weekend Mary binge watched 3 out of the 12 seasons of her favorite television show. What percent of the shows did she watch?
Answers
Answer:
1/4 is answer.
Step-by-step explanation:
Divide 3 to 12 = 1/4
Hope this helps. :)
A triangle has side lengths of 6, 8, and 9. What type of triangle is it? right obtuse equiangular acute
Answers
Answer:
acute
Step-by-step explanation:
Answer:
It is an acute triangle
Step-by-step explanation:
If it is an acute triangle, a^2 + b^2 > c^2
If it is a right triangle, a^2 + b^2 = c^2
If it is an obtuse triangle, a^2 + b^2 < c^2
If it is an equilateral triangle, a = b = c
6^2 +8^2 ? 9^2
36+64 ? 81
100 ? 81
? is >, meaning it is an acute triangle.
.What is the standard form of y – 8 = 2(x + 3)?
Answers
y - 8 = 2x + 3
0 = -y + 8 + 2x - 3
0 = 2x - y + 5
2x - y + 5 = 0
Who farther by the end of the week? How much farther? Use the table that shows the distances in miles.
Answers
Answerabout 20:)
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth?In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Answers
Answer:
11:60
Step-by-step explanation:
In ΔHIJ, given the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. We are to find tan<H
Using SOH CAH TOA
tan theta = opposite/adjacent
JI is the opposite (facing m<H)
HJ will be adjacent
tan m<H = JI/HJ
tan m<H = 48/55
tan m<H = 0.87 (to the nearest hundredth)
In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?
Using SOH CAH TOA
tan theta = opposite/adjacent
LK is the opposite (facing m<J)
JL will be adjacent
tan m<J = LK/JL
tan m<H = 11/60
Hence the ratio that represents the tangent of ∠J is 11:60
How to tell the difference between multiplication and division word problems?
Answers
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
division word problems what are usually have- equal parts, divide, Half of, ratio, quotient, out of
hope this helps :)
if the length of a certain rectangle is decreased by 4cm and the width is increased by 3cm,a square with the same area would result.find the perimeter of original rectangle
Answers
Answer:
The perimeter is 50
Step-by-step explanation:
The original area is LW
The new area is (L-4)(W+3)
These areas are the same
1: (L-4)(W+3)=LW
You are also told that the new figure is a square, hence
2: (L-4)=(W+3)
Equation (2) implies
3: L=W+7
Substitute for L in Equation (1) and solve for W
(W+7-4)(W+3)=(W+7)W
W^2+3W+7W+21-4W-12=W^2+7W
6W+9=7W
W=9
Now use Equation (3) to solve for L
L=16
The perimeter is 2W+2L
P=18+32=50
A ladder leaning against the wall makes an angle of elevation of 74. If the foot of the ladder is 6.5 feet from the
wall, how high up the wall is the ladder?
Answers
Answer:
the answer is 6.5 * tan74 = 22.67 feet
Step-by-step explanation:
Find the area of the
triangle.
Answers
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
Look at the table below. For a certain tree, the table shows the relationship between the height of the tree in feet to its age in years.
What is the rate of change of the height of the tree to the age of the tree?
•The height of the tree increases by 2 feet for every year in the age of the tree.
•The height of the tree increases by 5 feet for every year in the age of the tree
•The height of the tree increases by 2 feet for every 5 years in the age of the tree.
•The height of the tree increases by 5 feet for every 2 years in the age of the tree.
Answers
Answer:
D
Step-by-step explanation:
The last option in the picture
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answers
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
what was an important concern for the founding fathers when drafting the articles confederation?
Answers
Answer: They wanted the government to not be too powerful, in other words they wanted the states to have more power
Step-by-step explanation: