2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Now, According to the question:
Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
ABCD ~ A'B'C'D'
So,
[tex]\frac{AB}{A'B'} = \frac{BC}{B'C'}\\ \\ \frac{CD}{C'D'} = \frac{AD}{A'D'}[/tex]
Hence, 2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Learn more about Quadrilateral at:
https://brainly.com/question/11037270
#SPJ4
1
Q4. What is the length of the base of a triangle that has an area of 15 cm
and a height of 3 cm?
O A) 12 cm
B) 10 cm
C) 45 cm
D) 3 cm
Q5
A) 12 cm ..............
Answer:
Area of a triangle= b · h/2
b) 10 is the correct answer because 10 x 3/2 = 15
A sine function has an amplitude of 3, a period of π, and a phase shift of [tex]\frac{\pi }{4}\\[/tex]. What is the y-intercept of the function?
3
0
-3
[tex]\frac{\pi }{4}[/tex]
The y-intercept of the sine function is -3
We know that the standard form of the sine function is, y = a sin(bx + c) + d
where, amplitude = |a|
period = 2π/b
phase shift = -c/b
and vertical shift = d
Here, a sine function has an amplitude of 3, a period of π, and a phase shift of π/4
a = 3,
So, 2π/b = π
⇒ b = 2
And phase shift -c/b = π/4
⇒ -c/2 = π/4
⇒ -c = π/2
⇒ c = -π/2
So, a sine function would be,
y = 3 sin(2x + -π/2) + 0
y = 3 sin(2x + -π/2)
When x = 0,
y = 3 sin(0+ -π/2)
y = 3 sin(-π/2)
y = 3 × (-1)
y = -3
Learn more about the sine function here:
https://brainly.com/question/12015707
#SPJ4
3+ T/2 = 35  (Solve for T)
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
Define a linear equation.Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.
Here,
Given : 3+ T/2 = 35
thus,
=> 3+ T/2 = 35
=> T/2 = 35-3
=> T/2 = 32 *2
=> T= 64
Therefore , the solution to the given problem of linear equation comes out to be T= 64.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?
Answer:
For this example they are all the same thing.
530:1 or 530 mph
Step-by-step explanation:
A unit rate is when the denominator is 1. In this case, the denominator is already 1 hour.
Ty bought a notebook for $3 and pencils $2 if both items were on sale for 25%, what did Tyler spend?
Answer:
2.25 + 1.50 = 3.75
he spent $3.75
hope this helped
Step-by-step explanation:
Alma bought 6 gallons of gasoline for $19.14. What was the unit price of this gasoline?
Answer:
3.19
Step-by-step explanation:
A city has 5 cm of snow on the ground before a snow storm. During the storm, the amount of snow on the ground increases by 2 cm an hour.
which table shows a smaller rate of change than the one described?
Time Snow on Ground
(hours) (cm)
0
3
1
9
2
15
3
21
Time
(hours)
0
A
Ос.
Snow on Ground
(cm)
5
10
15
1
2
3
20
Time
(hours)
0
B.
Time Snow on Ground
(hours) (cm)
0
4
1
6
2
8
3
10
Snow on Ground
(cm)
6
7
8
9
1
2
3
Answer:
The answer is D because the snow on the ground increases 1 cm every one hour rather than 2 cm every hour.
Step-by-step explanation:
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?
Answer:
11 marbles
Step-by-step explanation:
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
Alex will have 11 marbles out of a total of 68 marbles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Alex has some marbles. Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total, they have 68 marbles.
Let x = no. of marbles-Alex
3x = no. of marbles-Billie
3x - 9 = no. of marbles-Chris
The number of marbles will be calculated as,
x + 3x + 3x - 9 = 68
7x - 9 = 68
7x = 77
x = 11
To know more about an expression follow
https://brainly.com/question/22075931
#SPJ2
How long will the other side be ?
Answer:
B
Step-by-step explanation:
Can some one help me with this question its hard :( down below ill give brainliest
PLEASE I WATED SO MUCH POINTS ON PPL GIVEING ME LINK SO PLEASE DONT GIVE LINKS
Answer:
E
Step-by-step explanation:
Find the volume of the following figure.
(I need a answer to this very soon so if anybody can answer id really appreciate it :))
The volume of the prism is 103.32 cubic inches (optionD)
What is the volume of a prism?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
The base area of the prism = 4.1×7.2 = 29.52 inches squared.
The height of the prism is 3.5 inches
Therefore volume = base area × height
volume = 29.52× 3.5 = 103.32 cubic inches.
Therefore the volume of the shape is 103.32 cubic inches.
learn more about volume of prism from
https://brainly.com/question/23766958
#SPJ1
If the radius of a new larger circle is 36 mm, what is the area of the larger circle with the same scale?
Answer:
4072.032mm^2
Step-by-step explanation:
Given data
Radius= 36mm
The expression for the area of a circle is
A= πr^2
Substititute
A= 3.142*36^2
A= 3.142*1296
A= 4072.032mm^2
Hence the area is 4072.032mm^2
13. Solve the simultaneous equations using an elimination method.
a) 2x + 5y = 27
2x - 3y = 3
You must show how you worked out your answers
Answer:
X=6,y=3
Step-by-step explanation:
Step 2: Testing Jerome’s brother’s approach
Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given:
Learn more about ratios here: Jerome’s brother told him to add one cup of water for every cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. We get the following table using the constraints given in the question
Drink mix 3 4 5 6 7
water cups 8 9 10 11 12
Hence, The complete table is shown above.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ1
Hi answer one and two plz
Answer:
1: 36 3/4
2: 26
Step-by-step explanation:
because I had that same question and got an A
What is the paradox in The Importance of Being Earnest?
The drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.
What is a paradox?A remark that logically contradicts itself or runs counter to one's expectations is referred to as a paradox.
It is a claim that, despite appearing to be supported by genuine premises and sound reasoning, leads to a logically untenable or self-contradictory conclusion.
One of the most straightforward yet well-known paradoxes is the liar paradox, sometimes known as the liar's paradox statement.
A paradox exists when someone says, "This statement is a lie" or "This statement is false," because if it were true, the statement would be speaking the truth.
In "The Importance of Being Earnest", the play has multiple contradictions.
Because the upper class is required to lead because it is the governing class, Algernon's dissatisfaction with the lower class for not setting a better moral example for the upper class is paradoxical.
Therefore, the drama "The Importance of Being Earnest" contains many inconsistencies. Algernon's criticism of the lower class for not providing a better moral example for the upper class is paradoxical because the higher class must set the standard because it is the ruling class.
Know more about paradox here:
https://brainly.com/question/17731343
#SPJ4
helppppppppppppppppppppppppppp meeeeeeeeeee find the area
Answer:
30.3/option 3
Step-by-step explanation:
Area of paralellogram:
((2+10)/2)*4
12/2*4
6*4
24
Area of semicircle
(pi*r^2)/2
3.1415*2^2/2
3.1415*4/2
6.283
Total:
24+6.283 = 30.283
Round it and it becomes 30.3 so option 3
plz mark brainliest if you find this helpful
Answer:
Half of 4 is 2
2^2 = 4
4 x 3.14 = 12.56, 12.56 divided by 2 = 6.28
10 + 2 = 12
12 x 4 = 48, 48 x 1/2 (basically just dividing by 2) = 24
Add the given areas:
24 + 6.28 = 30.28 m^2
Please help :( how you do the bottom part
Answer:
1. x = 14
2. (14, 115.18)
3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Step-by-step explanation:
The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.
To do the first question, you simply have to make the equation from the story problem.
These equations are usually in the slope intercept form, y = mx + b
C(x) is the same as y, so begin by replacing it for simplicity.
If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.
y = 7.87x + 5
Now we can substitute variables to solve the equation.
To find x when C(x) = 115.18, we substitute y for 115.18.
115.18 = 7.87x + 5
Subtract 5 from both sides:
110.18 = 7.87x
Divide both sides by 7.87:
14 = x
So we have our first answer. When C(x) = 115.18, x = 14.
The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.
This means, as an ordered pair, the answer is (14,115.18).
The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.
Hope this helped!
need help with these three
The ratio of pears in a fruit salad to people if will serve is 7:15. If Waldo wants to serve 105 people, how many pears will Waldo use?
Answer:
49
Step-by-step explanation:
7/15=x/105
15x=735
x=49
how do i ansew this q
The slope is $125 and the slope tells the annual due payment of $125.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take two points from the graph as (2, 400) and (4, 650)
Then, the slope of line is
slope, m = ( 650- 400) / ( 4- 2)
slope, m = 250 /2
slope , m = 125
Hence, the slope is 125.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1
Expanded and simplified form if 5 (m+2) + 9 (n+4)
Answer:
The answer expanded and simplified is
5m +9n +14
Find the product: 23 x 17 = ? OA. 161 OB: 184 OC. 371 OD:391
Answer:
391
explanation:somehow it is 391. just somehow.
Please help this is for my geometry final i will appreciate it so much :)
Answer and Step-by-step explanation:
The answer is True.
This is because rain is falling water (precipitating water), and water makes things wet, so because it is raining, the outside is wet from the falling water.
#teamtrees #PAW (Plant And Water)
MULTIPLE CHOICE QUESTION
What does the "rise" represent?
The change in y axis
the change in x axis
Rewatch
Olivia is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $2. She will sell the cards for $6 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?
Answer:
$8
Step-by-step explanation:
I GIVE THANKS AND MARK BRAINLIEST
WHAT ARE THE CORRECT ANSWER(S)?
On solving the provided question, we can say that - the slope of the following will be slope, m = [tex]4-6/4-2 = -2/2 = -1[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
On solving the provided question, we can say that - the slope of the following will be slope, m = -1
what is slope?
A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
To know more about slope visit:
brainly.com/question/3605446
#SPJ1
Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?
Answer:
14:48 on wednesday
Step-by-step explanation:
divide 712 by 24 to get the total number of days. you should get 29.66666667. remember that 1/3 of a day is 8 hours, so you would have 16 hours left. you can subtract 2 hours from the 16 to add to the 22:48 to get it on an 12-hour period, which in this case would be midnight, and when you do this you need to add another day to the 29 you have. then you put the remaining 14 to the 00:48, giving you 14:48. to get the day she finished on, you should honestly do it on your fingers, counting out the days until you hit the 30th day, which should give you wednesday.
A state trooper used a radar gun to measure the speed (in miles per hour) of all the cars that drove past her stretch of highway in a twenty minute period. She separated the results by whether the cars were traveling northbound or southbound. The histograms show the speed of each car that she recorded.
Which statement is an appropriate inference based on the median of each data set?
Question 4 options:
1.)The northbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
2.)The northbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
3.)The southbound cars were generally faster because the median for the northbound cars is less than the median for the southbound cars.
4.)The southbound cars were generally faster because the median for the northbound cars is greater than the median for the southbound cars.
Answer:
2.
Step-by-step explanation:
There are more boxes towards the highest numbers which means that the medians for northbound cars are generally high while the medians for southbound cars are located more on the smaller numbers representing the speed.