We want to know if the triangles shown, ABC and GHJ are similar.
We remember that two triangles are similar when their sides are proportional, and when its angles are congruent.
In this case, as we just have the sides, if we want to verify the similarity of the triangles, we are going to check if all sides are proportional. This is, if when we divide corresponding sides we obtain the same number.
Doing the divisions we get:
\(\begin{gathered} \frac{AC}{JG}=\frac{12\operatorname{mm}}{6\operatorname{mm}}=2 \\ \frac{CB}{JH}=\frac{6\operatorname{mm}}{3\operatorname{mm}}=2 \\ \frac{AB}{GH}=\frac{16\operatorname{mm}}{8\operatorname{mm}}=2 \end{gathered}\)As all the divisions are 2, this means that all sides are proportional, and then, the triangles are similar with coefficient of proportionality 2.
\(\Delta BCA\sim\Delta HJG\)50 POINTS AND BRAINILEST
The answer for part B was; 720/s
Jasmine drives 12 miles every morning from her home to her office. Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation.
Answer:
What was question B can you copy and paste it or just share what is was. If I know the context of the question it would make this one much easier
Step-by-step explanation:
Answer:
12 miles to 20 minutes: a rate
Find unit rate to figure out how many miles Jasmine can drive in a mile.
20/12
20 divided by 12 = 1.6 repeated (you can round this to 1.7)
12 divided by 12 = 1
About 1.7/1
Not sure what you mean by 720/s
Step-by-step explanation:
determine the type of slope of a line that goes through (-4,2), (-4,5)
Answer:
Undefined
Step-by-step explanation:
m = (5 - 2) / (-4-(-4))
m= 3/0, so the slope is undefined
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
оооо
9
18
WILL SEND MONEY TO FIRST PERSON TO ANSWER WITHIN 30 MINS
The addition of the fractions, 41 2/9 + 18 2/5, is 59 28/45
Addition of fractionsFrom the question, we are to add the given fractions by following the given steps
The given fractions are:
41 2/9 + 18 2/5
Writing each mixed number as the sum of a whole and a fraction
41 2/9 = 41 + 2/9
and
18 2/5 = 18 + 2/5
Adding the whole numbers
41 + 18 = 59
Finding the LCD of the fractions 2/9 and 2/5
LCD = 45
Rewriting the sum of the fractions with a common denominator
2/9 + 2/5 = 10/45 + 18/45 = (10 + 18)/45 = 28/45
Thus,
41 2/9 + 18 2/5 = 59 + 28/45
41 2/9 + 18 2/5 = 59 28/45
Hence,
The addition of the fractions results into 59 28/45
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Liam wants to buy raspberries and pears to make a fruit tart. Raspberries cost $2.50
per pound and pears cost $2.25 per pound. How much does he spend if he buys 3
ppunds of raspberries and 2 pounds of pears? How much does he spend if he buys a
pounds of raspberries and y pounds of pears?
He spends x pounds of Raspberries and y pounds of pears, then the equation can be 2.5x + 2.25 y
What is algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Raspberries cost $2.50 per pound
pears cost $2.25 per pound
so, she spends
=2.5 * 3 + 2.25 *2
=7.5+4.5
=$12
If he spends x pounds of Raspberries and y pounds of pears.
then the equation can be
2.5x + 2.25 y
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Paisley randomly surveys 48 teachers about the type of car they drive.
Histogram where the x axis represents SUV, sedan, and truck. The y- axis runs from zero to thirty at intervals of five. The histogram for SUV is at the point fifteen on the y- axis. The histogram for sedan is at the point twenty six on the y- axis. The histogram for truck is at the point seven on the y- axis.
If Paisely randomly surveys another 300 teachers, how many would she expect to drive an SUV?
Answer:
94 teachers drive SUV
Step-by-step explanation:
Given:
Total number of teachers in the survey = 48
Number of teachers who drive SUV = 15
Number of teachers who drive Sedan = 26
Number of teachers who drive truck = 7
To find: how many of 300 teachers drive an SUV
Solution:
Ratio of teachers who drive SUV = \(\frac{15}{48}=\frac{5}{16}\)
Out of 300, number of teachers who drive SUV = \(\frac{5}{16}(300)=93.75\) \(\approx 94\)
Answer: 94
Step-by-step explanation: Given:
Total number of teachers in the survey = 48
Number of teachers who drive SUV = 15
Number of teachers who drive Sedan = 26
Number of teachers who drive truck = 7
To find: how many of 300 teachers drive an SUV
Solution:
Ratio of teachers who drive SUV =
Out of 300, number of teachers who drive SUV =
In parallelogram WXYZ,diagonals Wy and XZ intersect at Point A.Give WA=x2-48 and AY= x2-6x.What is WY?Show your work
Answer:WY=24 hope this helps
Step-by-step explanation:refer the attachment
remember that,
the diagonals of Parallelogram bisect each other so WA=AY
thus our equation is
move left hand side expression to right hand side and change its sign:
rewrite 2x and 4x-6x:
factor out x:
factor out -6:
group:
recall that,
When the product of factors equals 0 then at least one factor is 0 so
since the length cannot be negative negative x isn't available
therefore
since WA and AY are the part of WY we acquire:
substitute the got value of x:
simplify square:
simplify multiplication:
simplify addition:
simplify substraction:
Answer: WY = 24
Mark me brainliest thank you.
HELP RIGHT NOW! I REALLY NEED HELP AND MY ASSIGNMENT IS DUE TOMMOROW
Answer:
area = 6 units²
perimeter = 10.06 units
Step-by-step explanation:
area = 1/2bh
area = 1/2(4)(3) = 6 units²
perimeter = 4.123 + 2.236 + 4.243 = 10.06 units
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
Find PN and QP.
IMAGE ATTACHED PLS HELP
Answer:
PN: 15
QP: 15
Step-by-step explanation:
if QN is 30 and P is in the middle of N and Q then the distance from P must be 15
can someone help mepleace
Answer:Click on the file below
Step-by-step explanation:
The coordinates of a triangle are (1, 4), (3,5), and (0,8). The coordinates of the translated triangle are (3,5), (5, 6), and (2, 9). Find the translation vector.
Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y) → (x + 2, y + 1).
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:
(x, y) → (x + 2, y + 1)
(1, 4) → (1 + 2, 4 + 1) = (3, 5).
(3, 5) → (3 + 2, 5 + 1) = (5, 6).
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Find the
median
75,75,75,75,90,95,100,100,110,110,136, 136,136,136,180, 180,180
180,180,180
Answer:
110
Step-by-step explanation:
self explanatory
16) Diane wants to plant bushes around the edge of a round flower garden. The radz of the garden z 10 Hen many bushes should she buy it she wants to plant one cvery two feet? OA) 16 -B) 21 OC) 33 OD) 173 OE) 45
Answer:
perimeter of circle=2πr=2π(10)=20π=3.14×20=62.8.
Step-by-step explanation:
62.8/2=31.4 bushes~ 33 bushes (OC)
If the simple interest on $2000 for 4 years is $480, then what is the interest rate?
Answer: 6%
Step-by-step explanation:
R=100×480/2000×4
R=6%
Answer:
R
=
6
%
Step-by-step explanation:
The formula for Simple Interest is
S
I
=
P
R
T
100
Change the subject to be R.
R
=
100
×
S
I
P
T
Once that is done, we just need to substitute the values.
R
=
100
×
480
2000
×
4
R
=
6
%
What’s the answers to 1-4
Answer:
C A B B
Step-by-step explanation:
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
Question content area top
Part 1
Find the coordinates of the image.
Ry=−2(P)
The image is enter your response here. (Type an ordered pair.)
The coordinates of the image are -2P
How to determine the coordinates of the image?From the question, we have the following parameters that can be used in our computation:
Ry = -2(P)
To calculate the coordinate of the image, we simply open the bracket
So, we have
Ry = -2(P)
Solving further, the equation can be represented as
Ry = -2 * P
Evaluate the product
So, we have the following representation
Ry = -2P
Hence, the image has an coordinate or ordered pair of -2P
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Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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5,000 x 300,000 +50 -300 +4,200 x 2 - 5 x 255 =
Answer:
1500006875
Step-by-step explanation:
Multiply 2 numbers at a time
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
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Find the rate of change of the function h(x) = 4x – 3 on the interval 0 ≤ x ≤ 1.The rate of change is
Given the function h(x) = 4x - 3 on the interval 0 ≤ x ≤ 1, we have to find the rate of change of function.
Explanation
\(\begin{gathered} h\mleft(0\mright)=4\left(0\right)-3=-3 \\ h\mleft(1\mright)=4\left(1\right)-3=4-3=1 \\ rate\text{ of change=}\frac{h\mleft(x_2\mright)-h\mleft(x_1\mright)}{x_2-x_1}=\frac{1-(-3)}{1-0}=4 \end{gathered}\)Answer: 4
Please Help!!!! A composite figure is formed by placing a half-sphere atop a cylinder. The half-sphere and the cylinder both have a radius of 3 centimeters. The height of the cylinder is 10 centimeters.What is the exact volume of the composite figure?
Enter your answer in the box.
Answer:
Step-by-step explanation:
To find the volume of the composite figure, we need to find the volumes of the half-sphere and the cylinder separately, and then add them together.
The volume of the half-sphere is given by the formula:
V_half_sphere = (2/3)πr^3
where r is the radius of the half-sphere. In this case, the radius is 3 cm, so we have:
V_half_sphere = (2/3)π(3)^3
V_half_sphere = (2/3)π(27)
V_half_sphere = 18π
The volume of the cylinder is given by the formula:
V_cylinder = πr^2h
where r is the radius of the base of the cylinder, h is the height of the cylinder. In this case, the radius is 3 cm and the height is 10 cm, so we have:
V_cylinder = π(3)^2(10)
V_cylinder = 90π
To find the volume of the composite figure, we add the volumes of the half-sphere and the cylinder:
V_composite = V_half_sphere + V_cylinder
V_composite = 18π + 90π
V_composite = 108π
Therefore, the exact volume of the composite figure is 108π cubic centimeters.
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Write an exponential function to model the following situation: A population starting at 740 animals
decreases at an annual rate of 12%. Use your function to determine about how many animals there will
be after 5 years.
A. 390
B. 150
CC. 680
D. 340
Answer:
A. 390
Step-by-step explanation:
An exponential function can be written in the form \(f(n)=a\times b^n\), where \(a\) is your starting population, \(b\) is the factor by which the population increases, and \(n\) is the number of terms. In this case, \(a=740\), \(b=0.88\) because the population decreases by 12 percent (1-0.12=0.88), and \(n=5\).
Thus, \(f(5)=740 \times 0.88^5\), which is roughly equal to 390.
Pls help, the question is in the photo.
Jackie has 3 brothers. Maria has 2 brothers. Keri has 1 brother. Harriet has 2 brothers. Between the four girls, what is the mean number of brothers? Median? Mode?
Answer:
mean is 2 brothers.
mean, means average
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n\(P_{r}\) and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19\(P_{9}\)=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
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what is the value of x in the eqation 3 [2x+5]=3x+4x
Answer:
x = 15
Step-by-step explanation:
3 ( 2x + 5 ) = 3x + 4x
Distribute;
3 ( 2x + 5 ) = 3x + 4x
6x + 15 = 3x + 4 x
Combine like terms;
6x + 15 = 3x + 4x
6x + 15 = 7x
Inverse operations;
6x + 15 = 7x
-6x -6x
15 = x