Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].
Then, the two rectangles are similar if and only if
[tex]a\div c=b\div d[/tex]
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
He Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel750≥75 + 125h What value of h does NOT make the inequality true?
Answer:
h<0
Step-by-step explanation:
75+125h ≤ 750
h≤ 8.333
for negative values of h the inequality will not hold true
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship?
Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
brainly which is the distance between (-3,4) and (7,13)
Answer:
Root 181
Step-by-step explanation:
Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.
Distance Formula: [tex]\sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}[/tex]
Hope this helped!
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
Plzzzzzzz help In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is the value of the 9 in the hundredths place.
Answer:
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Step-by-step explanation:
The decimal we are considering is 3.9928
The 9 in the tenth place has a value of 0.9
The value of 9 in the hundredth place has a value of 0.09
Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.
To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
brainly.com/question/4075559.
#SPJ7
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14
Answer:435
Step-by-step explanation:
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
[tex]9n^3 - 2n + 3 - 4n^2[/tex]
[tex]7n^3 + 3n - 3 - 6n^2[/tex]
[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
Answer:
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
how to simply this equation
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
find -2-(-.7)
help me plz :(
Answer: 5
Step-by-step explanation:
two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)
Answer:
5
Step-by-step explanation:
you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign
since the 2 signs are different you will need to subtract.
so 7-2 equals 5 and you put the bigger number's sign which is positive
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
Anthony earned the following amount for baby-sitting his brother over winter break: $5, $10, $10, $10, $5, $10, $20, $10, $5, $20, $20, $20, $10, $5, $5. What is the mean and median amount he earned each day?
Answer:
mean is $11
median is $10
Step-by-step explanation:
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
Please help me now plz I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
