Answer:
Option C.
Step-by-step explanation:
It is given that each pair of polygon is similar.
From the given figure it is clear that,
[tex]\angle E=\angle B=83^\circ[/tex]
[tex]\angle F=\angle C=69^\circ[/tex]
[tex]\angle G=\angle D=129^\circ[/tex]
[tex]\angle H=\angle A=79^\circ[/tex]
Corresponding angles of similar figures are congruent. So,
[tex]EFGH\sim BCDA[/tex]
Corresponding sides of similar figures are proportional.
[tex]\dfrac{GH}{DA}=\dfrac{HE}{AB}[/tex]
[tex]\dfrac{6.4}{3.2}=\dfrac{9.6}{4x}[/tex]
[tex]2=\dfrac{9.6}{4x}[/tex]
[tex]8x=9.6[/tex]
[tex]x=1.2[/tex]
The value of x is 1.2 units.
[tex]AB=4x=4(1.2)=4.8[/tex]
[tex]CB=6x-2=6(1.2)-2=7.2-2=5.2[/tex]
Scale factor is
[tex]k=\dfrac{EF}{BC}=\dfrac{10.4}{5.2}=2[/tex]
Therefore, the correct option is C.
---
What is the slope of the equation y=5/4 x -7/4
Answer:
5/4
Step-by-step explanation:
The slope intercept form for a linear equation is y = mx + b. The variable's (x) coefficient, which is represented as m, is the slope of any linear equation.
Answer:
5/4
Step-by-step explanation:
Got it right
Which could be the area of the base of the triangular prism?
[Not drawn to scale]
A) 6 ft2
B) 10 ft2
C) 12 ft2
D) 20 ft2
Answer:
It's 20 because 5ft times 4ft gives you 20ft
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m
hl
What is the volume of the sphere?
10 m
20 m
30
Answer:
The volume of the sphere is 20 m
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of the cylinder [tex]= 30m^3[/tex]
Required
Volume of the sphere
First, we need to calculate the radius of the cylinder
The formula goes thus
[tex]V = \pi r^2h[/tex]
By substituting 30 for V, we have
[tex]30 = \pi r^2h[/tex]
Divide through by h
[tex]\frac{30}{h} = \frac{\pi r^2h}{h}[/tex]
[tex]\frac{30}{h} = \pi r^2[/tex]
Calculating the volume of the sphere
The formula goes thus
[tex]V = \frac{4}{3}\pi r^3[/tex]
Expand Expression
[tex]V = \frac{4}{3} * \pi r^2 * r[/tex]
Substitute [tex]\frac{30}{h} = \pi r^2[/tex]
[tex]V = \frac{4}{3} * \frac{30}{h} * r[/tex]
Simplify Expression
[tex]V = \frac{4}{1} * \frac{10}{h} * r[/tex]
[tex]V = \frac{40}{h} * r[/tex]
Given that the height of the cylinder and the sphere are equal
This means that the height of the cylinder equals the diameter of the sphere.
Mathematically; This is represented by
h = D
Where D represents diameter of the sphere
Recall that D = 2r (2 * radius)
Substitute 2r for D
h = 2r
Substitute h = 2r in [tex]V = \frac{40}{h} * r[/tex]; This gives
[tex]V = \frac{40}{2r} * r[/tex]
[tex]V = \frac{40r}{2r}[/tex]
[tex]V = 20[/tex]
Hence, the volume of the sphere is 20 m
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
What is the line of symmetry for the graph of y = -3x 2 + 12x - 11?
x = -4
x = -2
x = 2
A cube has a volume of 8 cubic feet. What is the length of the cube?
Answer:
The side length is 2 ft
Step-by-step explanation:
A cube has a volume of
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^1/3
2 = s
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
Which is a solution for the equation 3x + 13 = 73?
Answer:
x=20
Step-by-step explanation:
73-13=60
60÷3=20
Answer:
x = 20
Step-by-step explanation:
3x + 13 = 73
3x = 73 - 13
3x = 60
x = 60 : 3
x = 20
PLEASE HELP ME ASAP I NEED HELP
Answer:
-10x-3y-6
Step-by-step explanation:
All you have to do is just combine the like terms, or the numbers with the same variables attached.
Combine all of the numbers with x-values.
Combine all the numbers with the y-values.
And combine all of the numbers with no variables.
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon?
2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas?
3.Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
plz show the work
Answer: 1. $3.85
2. $1.55
3. 7/12
Step-by-step explanation:
1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.
2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.
3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12. 1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?
Which describes the law of conservation of matter?
A. The total number of atoms cannot change during a reaction.
B. Chemical reactions cannot change reactants into products.
C. The reactants must have more atoms than the products.
D. A reaction has the same type of molecules before and after.
Answer: Choice A) the total number of atoms cannot change during a reaction
Matter cannot be created or destroyed. Instead, matter can be rearranged from one form to another. For example, boiling water turns the liquid into gas (steam) when it evaporates. The H2O molecules haven't been created or destroyed.
Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
seven subtracted from c is less than -16
Since this question is asking for an inequality formula, let's get started.
Seven subtracted from c=c-7 (it is NOT 7-c because then it would ask c subtracted by seven)
Less than means that the c-7 is less than -16, so it would face this way <
The final answer is c-7<-16
what is the distance between the points (-4,0) and (-7, -14) ?
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]
simplify x^2 + (y - 4)^2
I need help with this please!!
Answer:
5
Step-by-step explanation:
The hypotenuse is the longest side of the triangle.
Answer:
5
Step-by-step explanation:
The hypotenuse is generally the longest side of a right triangle.
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
A shirt is priced at $24.95. If you have a coupon for 30% off, how much does the shirt cost after the coupon is applied?
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card less than 10 (assume the ace is equal to 1) from the deck?
Choose one
19.23%
17.31%
15.38%
The correct answer is not provided.
Answer:
17.31%
Step-by-step explanation:
1/2 * 1/2 *9/13
50% chance to get heads, 50% chance to get an odd number, 9/13 odds to get a number less than 10 (1, 2, 3, 4, 5, 6, 7, 8, 9).
Answer:
15.38%
Step-by-step explanation:
Please help, need an answer ASAP!
Answer:
6, -7
Step-by-step explanation:
when I followed those instructions, that's what i got.
:)
Find the slope of the line passing through these points: (5,2) and (-10,12)
Plz help
A)-3/2
B)-2/3
C)3/2
D)2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line is found by
m= (y2-y1)/(x2-x1)
= (12-2)/(-10 -5)
= 10/-15
= -2/3
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .
Answer:
90
Step-by-step explanation:
a)
Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:
[tex]\dfrac{86+83+81+x}{4}=85[/tex]
b)
Multiply both sides by 4:
[tex]86+83+81+x=340\\x=90[/tex]
Hope this helps!
please help and get it right its worth 25 points pleaseee dont get it wrong! Thank you
Answer:
option one :)
20 characters blah blah blah
answer 1 is correct
Step-by-step explanation: hope this helps
Jack has two jars of wax. One jar is 1/6 full. The other jar is 4/6 full. Write an equation to find the amount of wax Jack has.
Answer:
1/6 + 4/6 = 5/6
Step-by-step explanation:
I hope this helped
Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
The unit of metric measurement used
when measuring the width of your
pencil point.
A. Milliliters
B. Milligrams
C. Millimeters
D. Centimeters
The unit of metric measurement used
when measuring the width of your
pencil point is millimeters