In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠4=30°.
What is m∠8?
Enter your answer in the box.
°
parallel lines A B and C D are cut by a transversal forming 8 angles labeled 1 to 8. The transversal intersecting line A B form angles 1, 2, 3, and 4 clockwise from top left. The transversal intersecting line C D form angles 5, 6, 7, 8 clockwise starting from top left.
Answer:
m∠8 = 30°
Step-by-step explanation:
Since line AB is parallel to line CD, and m∠4 = 30°, therefore:
m∠4 and m∠8 are corresponding angles.corewslinding angles are congruent.
Therefore, this means that their measure would be equal to each other, since they are congruent.
Thus:
m∠8 = 30°
Answer: 30°
Step-by-step explanation:
HELP!!!
Dilate quadrilateral ABCD again with the origin as the center of dilation and a scale factor of -0.5. Note the side lengths of the corresponding sides in each quadrilateral. Round your answers to the hundredths place. Verify that the ratio of each side length of A′1B′1C′1D′1 to the corresponding side length of ABCD is equal to the dilation factor.
Answer:
A' (-0.20, -0.75)
B' (-1.50, -1.50)
C' (-1.79, -0.29)
D' (-10.45, -0.20)
Step-by-step explanation:
you just need to multiply all the points by -0.5, sorry not sure how to verify the ratios for the sidelength tho
The coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to Dilate quadrilateral ABCD again with the origin as the center of dilation and a scale factor of -0.5.
The side lengths of the corresponding sides in each quadrilateral.
A(0.4, 1.5)
B(3, 3)
C(3.58, 0.57)
D(2.09, 0.4)
The scale factor is -0.5.
Now A'=(-0.4×0.5, -1.5×0.5)
=(-0.2, -0.75)
B'=(3×-0.5, 3×-0.5)
=(-1.5, -1.5)
C'=(3.58×-0.5, 0.57×0.5)
C'=(-1.79, -0.285)
D'=(2.09×-0.5, 0.4×-0.5)
D'=(-1.045, -0.2)
Hence, the coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.
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Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it in
minutes)
Time (minutes)
Temperature (degrees Celsius)
4
25
6
40
8
55
How long did it take the pizza to reach 100 degrees Celsius?
minutes
Answer:
Step-by-step explanation:
4 25
6 40
8 55
10 70
12 85
14 100
It would've taken him 14 minutes. for every 2 minutes, the temperature went up 15 degrees.
find the midpoint of (-2,-4) and (-8,-12)
Answer:
Step-by-step explanation:
((-2-8)/2, (-4-12)/2)
(-5, -8)
What is the quotient of 154,504 - 28?
Answer:
5518
Step-by-step explanation:
There are 59,429 hockey players in Massachusetts. There is 43,867 hockey players are Connecticut. How many more players are playing in Massachusetts than Connecticut
Answer:
15,562 more players than Connecticut
A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to fill the swimming pool is 2304 cubic feet. Find the dimensions of the pool.
The smaller dimension of the pool is____ft and the larger dimension is____ft
Answer:
length= 42, width=12, depth=8Step-by-step explenation:
The smaller dimension of the pool is 8 ft and the larger dimension is 36 ft
The length of the rectangle = 8 feet
The width of the rectangle = 36 feet
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The volume of the rectangle is V = 2304 feet³
Let the length of the rectangle be = A
One side of the pool is 4.5 times longer than the other
So , the width of the rectangle be = 4.5A
Now , on simplifying the equation , we get
Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 8 x A x 4.5A
36A² = 2304
Divide by 36 on both sides of the equation , we get
A² = 64
Taking square roots on both sides of the equation , we get
A = 8 feet
Therefore , the width of the rectangle = 4.5 A = 36 feet
Hence , the dimensions of the rectangle is 8 x 36 x 8
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why does the equation 7x + 13x - 5 - 15 = -10 - 10 + 14x + 6x have an infinite amount of answers
Answer:
What do you mean by infinite amount of answers?
Step-by-step explanation:
What is the greatest common factor of 60,70, and 80
Answer:
10
Step-by-step explanation:
Answer: The GCF of 60, 70, and 80 is 10.
Step-by-step explanation: If you think about it, the GCF is definitaly going to be 10. That is because you can multiply 10 to get 60, 70, and 80. There is no other number higher than 10 that can be multiplied by something to get all of these values.
En la sala de una casa hay una gran ventana de vidrio, por la que se presenta una pérdida significativa de calor; las medidas de la ventana son 2,5 m x 1,5 m y 2,8 mm de espesor. Hallar la variación de calor en la unidad de tiempo si la temperatura exterior del vidrio es 16°C y la temperatura interior del vidrio es 20°C
Answer:
La variación de calor por unidad de tiempo es 4285.714 watts, es decir, joules por segundo.
Step-by-step explanation:
Asumamos que la transferencia de calor es enteramente por conducción, en estado estable y unidimensional´y que la ventana es representada por una placa plana. Bajo estas consideraciones, la ecuación de conducción es la siguiente:
[tex]\dot Q = \frac{k\cdot w\cdot h}{l}\cdot (T_{i}-T_{o})[/tex] (1)
Donde:
[tex]\dot Q[/tex] - Tasa de transferencia de calor, medida en watts.
[tex]k[/tex] - Conductividad térmica, medida en watts por metro-grado Celsius.
[tex]w[/tex] - Ancho de la ventana de vidrio, medido en metros.
[tex]h[/tex] - Altura de la ventana de vidrio, medida en metros.
[tex]l[/tex] - Espesor de la ventana de vidrio, medida en metros.
[tex]T_{i}[/tex] - Temperatura interior del vidrio, medida en grados Celsius.
[tex]T_{o}[/tex] - Temperatura exterior del vidrio, medida en grados Celsius.
Si conocemos que [tex]k = 0.8\,\frac{W}{m\cdot ^{\circ}C}[/tex], [tex]w = 2.5\,m[/tex], [tex]h = 1.5\,m[/tex], [tex]l = 2.8\times 10^{-3}\,m[/tex], [tex]T_{o} = 16\,^{\circ}C[/tex] y [tex]T_{i} = 20\,^{\circ}C[/tex], entonces la tasa de transferencia de calor es:
[tex]\dot Q = \left[\frac{\left(0.8\,\frac{W}{m\cdot ^{\circ}C} \right)\cdot (2.5\,m)\cdot (1.5\,m)}{2.8\times 10^{-3}\,m} \right]\cdot (20\,^{\circ}C-16\,^{\circ}C)[/tex]
[tex]\dot Q = 4285.714\,W[/tex]
La variación de calor por unidad de tiempo es 4285.714 watts, es decir, joules por segundo.
At an amusement park, only 18 peopel are allowed on a ride at the same tome. There are 157 people waiting in line. Hiw many groups of riders will there be?
Answer:
8 groups
Step-by-step explanation:
just keep taking away 18 till u can't anymore
your welcome
Answer:
Step-by-step explanation:9
bananas cost $0.18 each. How many can Mo buy for $2? (Tip!) Round to the nearest whole banana.)
Answer:
Step-by-step explanation:
.18x=2
x= 11.1
she can get 11 whole bananas
Slope-Intercept Form Word Problems
1 An equipment rental company charges a $25 for plus 550 per hour. Use this information to
answer the questions
a Wite an equation to show the amount you pay awr a certain number of hours (8)
What is the yer of this problem?
Explain what it represent in terms of the station
What is the slope of this problem?
The company changes -
Standard Form Word Problems
2 You are buying 500 worth of lawn sedmice that consists of two types of seed One
type costs $5 per pound and the other costs 56 per pound Use this information to answer the
Questions
2. Write an equation to find the amount of each seed that you can buy.
What is the of this problem?
Explain what it represents in terms of the station
Help me please !!!!!
I need it for today !!
Answer:
1a. y=550(8) + 25
1a. the yer of this problem is 25 because it is a real number. it represents your Y-intercept because they are getting paid $550 an hour and getting paid an additional $25 for doing the job. The slope of this problem would be $550 because that is how much they are getting paid an hour.
2. What you would need to do is take 500/5 and 500/56 and that would give you how ever many bags you can buy per lawn sediment. (you really don't need to write an equation for the next part even though it says you need one)
2.y=500/5 and y=500/56
Step-by-step explanation:
Pls help me with this
Answer:
100
Step-by-step explanation:
The angles are on the same side of the transversal. They are corresponding angles, so they are equal. Put algebraically
4a = 2a + 50 Subtract 2a from both sides.
4a-2a = 2a-2a + 50 Combine
2a = 50 Divide by 2
2a/2 = 50/2
a = 25
<VYX = 4*a = 4*25 = 100
Which relation is not a function?
Answer:
b.
Step-by-step explanation:
Determine the slope of the line in the graph
Answer:
4 and -2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
the slope = rise /run
Look at the graph to find 2 points that are easy to read for example (0, -2) and (4, 0).
How did you got from (0, -2 ) to (4, 0) by rising 2 and run 4 so your slope is
m=2/4=1/2
help pls I will give brainliest! 2
Answer:
The first one is 585 and the second one is 729
HELP! I AM TIMED!!
Which of these tables represents a linear function?
A) x: 3 4 5 6 y: 3 4 6 7
B) x: 3 4 5 6 y: 6 5 4 3
C) x: 3 4 5 6 y: 7 6 5 3
D) x: 3 4 5 6 y: 2 4 5 6
Answer:
Table C
Step-by-step explanation:
Hope this helps :3
A large woven basket holds 30 ears of corn. A small woven box holds 6 ears of corn. How much corn can be carried in 12 large baskets and 20 small baskets? Show your work
How many cubes of length 2 would it take to fill a rectangular solid with a
volume of 120?
Answer:
I think it is 1 ruler to measure it
PLEASE HELP ASAP
I think I know but I want to double check
Answer:B 1/18
Step-by-step explanation:
Someone help please I really need the answer fast if that’s possible!!??
Answer:
no yes no i dumb
Step-by-step explanation:
1-La funcion lineal que pasa por el punto (3,6) tiene como expresion:
a) Y=3x+6
b) Y=6x-3
c) Y=2x
Answer:
Creo que es b
Step-by-step explanation:
The linear function that passes through the point (3,6) is given by: Option C: [tex]y = 2x[/tex]
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Checking all the options to see if (3,6) lies on them:
Case 1: [tex]y = 3x + 6[/tex]Usually points are of the form (x,y). Thus, we have: (x,y) = (3,6) means x = 3, and y = 6.
Putting these values in the equation, we get:
[tex]y = 3x + 6\\6 = 3(3) + 6\\6 = 9 + 6\\6 = 15[/tex]
This is wrong. Thus, the point (3,6) doesn't satisfy this equation, and therefore, doesn't lie on its graph.
Case 2: [tex]y = 6x - 3[/tex]Putting x = 3, y = 6 in this equation, we get:
[tex]y = 6x - 3\\6 = 6(3) - 3\\6 = 18 - 3 \\6 = 12[/tex]
This is wrong. Thus, the point (3,6) doesn't satisfy this equation, and therefore, doesn't lie on its graph.
Case 3: [tex]y = 2x[/tex]Putting x = 3, y = 6 in this equation, we get:
[tex]y = 2x\\6 = 3(2)\\6 = 6[/tex]
This is correct. Thus, the point (3,6) satisfy this equation, and therefore, lies on its graph.
Thus, the linear function that passes through the point (3,6) is given by: Option C: [tex]y = 2x[/tex]
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If f(3) = 6, which of the following functions would be correct?
Answer:D f(x)=4x-6
Step-by-step explanation:
if you put 3 into the equation 4(3)-6. you should get 6.
4(3)-6
12-6
6
Answer:
Step-by-step explanation:
a. f(x)=8x+2
8(3)+2=26, 26≠6
b. f(x)=3x-2
3(3)-2=7, 7≠6
c. f(x)=-2x+1
-2(3)+1=-5, -5≠6
d. f(x)=4x-6
4(3)-6=6, 6=6
amy usually swims 20 laps in 30 minutes what is her rate per minutes
Answer:
1.5
Step-by-step explanation:
Because if you divide 30 by 20 you get 1.5 to check if it’s correct you multiple 1.5 by 20
If there are 12 cats and 15 dogs in the shelter, what is the simplified ratio of cats
to the animals in the shelter?
Answer:
12 to 27! :D
Step-by-step explanation:
Does someone that knows how to do this??
Answer:
-1/2
Step-by-step explanation:
rise over run
rise is -2
run is 4
(-2/4)/2=(-1/2)
hope this helps :3
if it did pls mark brainliest
suppose the small country of aronow imports 40000kg of bananas
Answer:
There's no question for this, it's just a country importing an absurd amount of fruit.
Step-by-step explanation:
which of the following is an extraneous solution of square root 4x+41=x+5
Can a translation and a reflection map TriangleQRS to TriangleTUV? Explain why or why not. No, the triangles are not congruent. Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV. No, the triangles are obtuse. Yes, a translation mapping vertex S to vertex T and a reflection across the line containing RS will map △QRS to △TUV.
Answer:
b
Step-by-step explanation:
Answer:
the is b yes
Step-by-step explanation:
