Answers
Answer:
30
Step-by-step explanation:
First do 25/20 to get the proportional rate which is 1.25
then multiply 24 by 1.25 to get 30
The missing length PQ must be 30 for the two figures to be similar.
For two figures to be similar, their corresponding sides must have proportional lengths. Lets denote the two given quadrilaterals as PQRS and ABCD. To find the missing length PQ, we need to determine the proportional relationship between the corresponding sides of Quad PQRS and Quad ABCD.
The corresponding sides are:
PQ and AB
QR and BC
RS and CD
PS and AD
Since Quad PQRS ~ Quad ABCD, we can set up proportions for the corresponding sides:
[tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}} = \frac{{RS}}{{CD}} = \frac{{PS}}{{AD}}\)[/tex]
Given:
QR = 25
RS = 25
AB = 24
BC = 20
DA = 28
Let's use the proportion [tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}}\)[/tex] to find PQ:
[tex]\(\frac{{PQ}}{{24}} = \frac{{25}}{{20}}\)[/tex]
Cross-multiply to solve for PQ:
[tex]\(PQ \times 20 = 24 \times 25\)\\\\\(PQ = \frac{{24 \times 25}}{{20}}\)\\\\\(PQ = 30\)[/tex]
Therefore, PQ must be 30 for the two figures to be similar.
To know more about length, refer here:
https://brainly.com/question/30625068
#SPJ2
Related Questions
The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?
Answers
Answer:
Let's define:
A = # of students in group A
B = # of students in group B
C = # of students in group C.
"The total number of students who could attend a field trip is represented by the variable t."
This can be written as:
A + B + C = t.
"The number of students in Group A is less than the number in Group B."
Here we have a strictly "less than", then this is written as:
A < B.
"Group A has 6 students more than 1/4 the total number of students"
A = t/4 + 6
"Group B has 3 less than the total number of students"
B = t - 3.
Then we have the equations:
A + B + C = t.
A = t/4 + 6
B = t - 3.
A < B.
We could replace the second and third equatio in the fourth one, to get:
t/4 + 6 < t - 3.
t/4 + 9 < t
9 < t - t/4
9 < t*(4/4 - 1/4)
9 < t*(3/4)
(4/3)*9 < t
12 < t.
Then we found an inequality that defines the minimum possible value of t,
HELP NEEDED HELP! I SUCK at these
Answers
Answer:3:9
Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D
help me PLEASE I’m begging!!! ( question on photo
Answers
step by step explanation
Answer:
4.050 cm
Step-by-step explanation:
Multiply 2.25 and 1.8, make sure to add the decimal point!
A number y multiplied by —3 is less than
ore
Write this word sentence as an inequality.
An inequality is
Answers
Answer:
-3y < -2/5
Step-by-step explanation:
Multiplied means times
-3y
is less than means <
-3y < -2/5
1.maria’s age is five less than four times the age X of her son.Express Maria’s age as an algebraic expression
2.the length of a rectangle is three times the sum of five and its width X.express the perimeter as an algebraic expression
Answers
Answer:
1. m = 4x - 5
2. R = 3(5 + x)
Step-by-step explanation:
let x represent the age(X)
let M represent Maria's age(M)
m = 4x - 5
2.
Let R represent the length of a rectangle (R)
Let X represent it's width (X)
R = 3(5 + x)
answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
sanaol matalino
Step-by-step explanation:
kase dehins matalino
Two angles in a linear pair have a sum of 180 degrees. Since PAN and NAS have the same measure, divide 180 by 2. You would get 90 degrees, thus both angles are right angles.
Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?
g(x)=m(x+3)+b+4
s(x)=4/3x+b
t(x)=m(x−3)+b+4
h(x)=4/3mx+b
Answers
Function transformation involves changing the position of a function
The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
The function is given as:
[tex]\mathbf{y = mx +b}[/tex]
The ratio of the slopes of both segments is given as:
[tex]\mathbf{Ratio = \frac 43}[/tex]
Let the slope of the new segment be m2.
The slope of [tex]\mathbf{y = mx +b}[/tex] is m.
So, we have:
[tex]\mathbf{m_2 : m = \frac 43}[/tex]
Express as fractions
[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]
Multiply both sides by m
[tex]\mathbf{m_2 = \frac 43m}[/tex]
From the list of given options,
[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]
Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]
Read more about function transformations at:
https://brainly.com/question/13810353
–1.0 ? |–4.4| Is it. Greater than. Less than or equal to
Answers
Answer:
Less Than
Step-by-step explanation:
Answer:
-1.0 is greater than -4.4
Convert 5 2/7 to 7ths
(there’s the image if you’re confused.)
Answers
Answer:
37/7
Step-by-step explanation:
to get 37-
7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic
6th grade math plz help?
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.
Answers
Answer:
about 83%
Why:
1/3 + 1/2 = 0.83333333333
0.83333333333 as a percentage is 83.333333333%
Answer:
17%
Step-by-step explanation:
He completed 1/2 plus 1/3 of the painting.
The total he completed is
1/2 + 1/3 = 3/6 + 2/6 = 5/6
He needs to to 1 - 5/6 = 6/6 - 5/6 = 1/6 of the painting.
100% is the whole. He needs to do 1/6 of 100%.
1/6 * 100% = 100%/6 = 16.666...%
Answer: 17%
A percent is a blank of proportionality describing the blank of the blank please answer fast
Answers
Answer:
Constant
part
whole
Step-by-step explanation:
From the question, we want to fill in the gaps with the correct vocabulary
The correct wordings in this question is that;
A percent is a constant of proportionality describing the part of the whole
What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value
at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls
work out the total number of students at the school
Answers
b = boys
g = girls
[tex]b:g=11:9, b=g+124[/tex]
[tex]b=11g/9[/tex]
Insert in the second equation
[tex]11g/9=g+124[/tex]
Solve for g
[tex]11g=9g+124\cdot9[/tex]
[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]
Solve for b
[tex]b=g+124=\boxed{682}[/tex]
Hope this helps.
(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?
Answers
Answer:
Step-by-step explanation:
10000*7%= $700.00
2500-700=1800
1800 is 10% of 18,000
So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.
What is the value of (–4) with an exponent of -3
Answers
Answer:
-64
Step-by-step explanation:
Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.
5)Write an algebraic equation for each statement, and then SOLVE for x
The sum of a number and six is fourteen. __________________________
The quotient of fifteen and a number equals three. __________________________
The product of seven and a number equals fifty-six. __________________________
The difference between the square of a number four is twelve. __________________________
One quarter of a number is ten. __________________________
Three times a number decreased by nine equals eighteen. __________________________
Ten less than half a number equals fourteen. __________________________
A number divided by eight is nine. __________________________
The product of double a number and three equals twenty-four. __________________________
The product of twenty and a number equals one hundred and forty.
Answers
Answer:
Step-by-step explanation:
1. x+6=14
14-6=8
x=8
2. 15/x=3
15/3=x
x=5
3. 7*x=56
56/7=8
x=8
4. x^2-4=12
x=4, x=-4
5. 1/4x=10
x/4 = 10
x = 40
6. 3x-9=18
x=9
7. 1/2x-10=14
x/2-10=14
x=48
8.x/8=9
8*9=72
x=72
9.2x+3=24
2x=21
x=21/2
10.20*x=140
140/20=7
x=7
please may you help me quick timeee
Answers
Answer:
Step-by-step explanation:
tan e = x/(4x-1)
tan f = (6x+5)/(12x + 31)
since tan e = tan f
x/(4x-1) = (6x+5)/(12x+31)
x(12x+31) = (4x-1)(6x+5)
12x^2 +31x = 24x^2 +20x -6x -5
31x = 12x^2 +14x -5
0 = 12x^2 -17x -5
0 = (12x -5)(x -1)
x = 1, 5/12
please answer this question as fast as possible
Answers
Answer:
25kg
Step-by-step explanation:
x = 100%
x = 140kg
x1 = 100% - 35% = 65%
x1 = 140kg × 0.65 = 91kg
x2 = 91kg - 26kg = 65kg
x3 = 65kg × 2/5 = 130kg/5 = 25kg
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable. (1 point)
A. The solutions are viable because the amount charged is positive.
B .The solutions are not viable because the amount of the sale cannot be negative.
C. The solutions are viable because the amount of the sale is an integer.
D. The solutions are not viable because the amount charged is not a whole number.
Answers
Answer:
B .The solutions are not viable because the amount of the sale cannot be negative.
Step-by-step explanation:
In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.
PLZ ANSWER!! ONLY ANSWER IF YOU ARE CORRECT!!
Answers
4b-8 = 180
4b = 188
B = 47
Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.
A(1) = 1,000 + 20+
Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Answers
Step-by-step explanation:
a is the correct not sure though
Answer:Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?
Step-by-step explanation:
Yeah I’m done with Brainly, they getting rid of my account now, have these points
Answers
Answer:
oh no! why
Step-by-step explanation:
can i have brainliest
also ty!
Answer:
you should talk to the moderator
Step-by-step explanation:
solve an equation x/17= -4
Answers
Answer:
-68
Step-by-step explanation:
X/17=-4
X=-68
So the answer is -68
What is the value of x that makes the statement true?
9x - 22 = 11x - 54
x =
Answers
Answer:
Step-by-step explanation:
9x-22=11x-54 take 9x from each side
-22=2x-54 add 54 to each side
32=2x divide by 2
16=x
Help me now plz it do in 30 min
Answers
Answer:
For the first row, write 5(0)-1 = 0-1. y is equal to -1.
For the second row, write 5(1)-1 = 5-1. y is equal to 4.
For the third row, write 5(2)-1 = 10-1. y is equal to 9.
For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.
Step-by-step explanation:
Hope this helps!
The population of a town was 5000 in 2010. The population grows at a rate of 1.4% annually.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2010.
(b) Estimate the population of the town in 2022. Show your work.
Answers
Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Y=6x+21
-x+3y=12
Find x and y please
Answers
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
X=-12+3y
Y=4+x/3
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answers
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13
Solve this equation
2/3x−1/5x=x−1
Answers
Answer:
x=15/8
Step-by-step explanation:
Given: 2/3x-1/5x=x-1
Determine LCD: 10/15x-3/15x=x-1
Combine like terms: 7/15x=x-1
Get x on one side only: -8/15x=-1
Divide the coefficient on both sides: x=15/8
write your answer as a fraction or as a whole or mixed number 4 4/5 times 2 1/5
Answers
Answer:
It would be 10 14/25
Step-by-step explanation:
You could use a calculator for this, but that’d be cheating so let me explain.
We make both of our fractions improper first
4 4/5 = 24/5
2 1/5 = 11/5
We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.
24 x 11 = 264
————
5 x 5 = 24
Ten 24s can fit into 264 so our final number is
10 14/25
How do you write 352 in expanded form
Answers
Answer:
300+ 50 + 2
Step-by-step explanation:
If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)
Explanation:
The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.
So that's why 352 = 300 + 50 + 2