The perimeter of △PQR is, 7.5/5x.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, Based on the given information, since △ABC∼△PQR,
we know that the corresponding sides are proportional.
Therefore, we can set up a proportion:
AB/PQ = BC/QR = AC/PR
Substituting the given values, we get:
2/5 = BC/QR = AC/PR
Since we know the perimeter of ΔABC is 3x, we can express its sides as:
AB + BC + AC = 3x
Substituting AB = 2, we get:
2 + BC + AC = 3x
Dividing both sides by 2, we get:
BC/2 + AC/2 = (3/2)x - 1
Substituting BC/QR = AC/PR = 2/5, we get:
(2/5)QR/2 + (2/5)PR/2 = (3/2)x - 1
Simplifying, we get:
QR + PR = (15/10)x - 2
Since the perimeter of ΔPQR is PQ + QR + PR, we can substitute PQ = 5, and get:
Perimeter of △PQR = 5 + QR + PR
Substituting QR + PR = (15/10)x - 2, we get:
Perimeter of △PQR = 5 + (15/10)x - 2
Simplifying, we get:
Perimeter of △PQR = (7.5/5)x - 2
Therefore, the answer is option B, 7.5/5x.
Learn more about the triangle visit;
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An emu that measures 45 inches in height is 60 inches less than 5 times the height of a kakapo.
What is the height of a kakapo in inches?
The kakapo is inches tall.
Pls help me
Answer:
21 inches tall
Step-by-step explanation:
Let x represent the height of the kakapo.
Create an equation to represent this situation, and solve for x:
45 = 5x - 60
105 = 5x
21 = x
So, the kakapo is 21 inches tall.
[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..
[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]
Hope it helps.
RainbowSalt2222
HELLOOOPPPPPPPPOPPPP
Answer:
Below
Step-by-step explanation:
Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x
If the sales tax is 4% there is an additional (72.99x)(1.04)
Here is the equation
= (72.99)(1.04) t
If Patrick bought 8 tires.....
= (72.99)(1.04)(8)
= $607.2768
Hope this helps!
help me please it's important!!
Answer:
Does the answer help you?
Answer:
102 cm³
Step-by-step explanation:
Volume of R1:
length = 7 cm
Width = 3 cm
Height = 2 cm
Volume = 7* 3 * 2 = 42 cm³
Volume of R2:
length = 5 cm
Width = 4 cm
Height = 3 cm
Volume = 5 * 4 * 3= 60 cm³
Volume of the figure = 42 + 60 = 102 cm³
Anybody know how to do the last 2. Pls its due in the morning!
19°
The unknown angle be x
x=59°(Exterior opposite angles..20:-
If unknown angle be x
[tex]\\ \sf\longmapsto x+76=180[/tex]
[tex]\\ \sf\longmapsto x=180-76[/tex]
[tex]\\ \sf\longmapsto x=104°[/tex]
Can anyone pls help me with this I'll mark as brainlist for correct answer please do explain in detail each answers Ty! (I'm preparing for my maths exam tmr)
Question 8
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
Question 10
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
Consider that 45% of Americans own a dog, 25% of Americans own a cat, and 40% of Americans own neither. Draw a Venn Diagram for this situation. Be sure to label every region of the Venn Diagram with a word AND the percentage of Americans that fall in each category.
Answer:
See below
Step-by-step explanation:
40% own neither, it means 100% - 40% = 60% own either a dog or a cat.
Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.
Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.
Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.
All the numbers reflected in the attached Venn diagram:
35% - dog10% - both15% - cat40% - neitherthe perimeter of a rectangle is 68 feet the length is 5 inches shorter than twice the width what are the dimensions of the rectangle
Answer:
Step-by-step explanation:
The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:
L = "length is"
2W is "twice the width"
5 inches shorter is " - 5". Putting it all together:
L = 2W - 5. Now we can fill in the perimeter formula:
68 = 2W + 2(2W - 5) and
68 = 2W + 4W - 10 and
68 = 6W - 10 and
78 = 6W so
W = 13. The width is 13 inches and the length is
L = 2(13) - 5 so the length is
L = 21 inches.
Ivana wants to give books from her store to the local library. She needs to place 8 books in each box. If she has 1,125 books to give away, how many boxes will she need
Answer:
140.625
Step-by-step explanation:
1125 books, placed into 8 per boxes, 1125/8=140.625
Can someone please help me solve this ?
answer:
-1
here's the explanation below :))
Name the number system in which only the whole number less than 5 are used
Stay Safe, Stay Happy and stay healthy
Step-by-step explanation:
Whole numbers less than 5 may be termed as Rational numbers.
ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .
Answer:
Following are the responses to the given question:
Step-by-step explanation:
The following relationships usually have a direct or inverse relationship, please indicate.
Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.The ratio of girls to boys in grade 6 was 3:2 at Lincoln middle school last year. There were 60 kids in grade 6. How many in grade 6 were girls
Answer:
40 girls 20 boys i think / guess
Step-by-step explanation:
Answer:
20/40
Step-by-step explanation:
i hope it help
Are the ratios 11:9 and 2:1 equivalent?
yes or no
Answer:
no
Step-by-step explanation:
We can determine if they are equivalent if the cross products are equal
11 2
----- = ------
9 1
11*1 = 2*9
11 = 18
This is false so the ratios are not equivalent
 A study found that healthy eating can help to cut the risk of heart disease. Therefore, a person can conclude that if they eat healthy they definitely will not have any heart issues.
True or false?
Answer:
False
Step-by-step explanation:
It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answer:
4
Step-by-step explanation:
I really need help thia is my last chance to get a good grade in math-
Answer:
Step-by-step explanation:
bsahaahaaana
When a willow tree was planted it was 24 inches tall. Three years later, the tree was
54 inches tall. How many inches per year is the willow tree growing on average?
(A) 3 inches per year
(B) 5 inches per year
(C) 10 inches per year
(D) 18 inches per year
Answer:
Height of tree 3 years ago: 24 inches
Height of tree now: 54 inches
54-24 = 30
The tree grew 30 inches in 3 years.
So on average it grew 10 INCHES PER YEAR.
Let me know if this helps!
Answer:
(C) 10 inches per year
Step-by-step explanation:
54-24 = 30 inches in 3 years
30/3 = 10 inches per year
The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum
Answer:
A)
Step-by-step explanation:
The inter quartile range is determined by the formula Third quartile - first quartile.
In a set, an inter quartile range is a measure of where the bulk of the data's lie
A borrows a certain amount of money from B at simple interest of 15% for two years and lends it to C at the compound interest of 15% for the same period. If A makes a profit of Rs. 90, then the amount he borrowed from B is?
a. Rs. 900
b. Rs. 3000
C. Rs. 4000
d. Rs. 6000
Answer:
the amount he borrowed from b is 540
Sandra is 5 years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?
Step-by-step explanation:
Her father is 34 years old
What is the measure of
Answer:
60⁰ is the answer. akksjdjd
Whats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
michelle is 3 times as old as her sister tina. Tina is 4 years younger than michelle. How old is tina now?
Answer:
Tina's age = 2 years
Step-by-step explanation:
Tina's age = x
Michelle's age = 3 * x = 3x
Tina is 4 years younger than Michelle.
x = 3x - 4
Add 4 to both side
x +4 = 3x
Subtract x from both sides
4 = 3x - x
4 = 2x
Divide both sides by 2
4/2 = x
2 = x
Tina's age = 2 years
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
Which equation results from taking the square root of both sides of (x – 9)2 = 81?
x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return
Step-by-step explanation:
Hi there!
Given;
(x-9)² = 81........(i)
Take whole square right side;
(x-9) = ±√(81)
(x-9) = ±9
Therefore, the answer is option A.
Hope it helps!
What is the result of the division?
4,060 ÷ 20 = ?
200 R3
203
230
233 R3
Answer:
it's answer is 203 ......
(-3,7), (5,11) what is the slope and can u show me how u got it please
Answer:
The formula for the slope is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Assign each given point to a variable:
(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)Substitute in the values into the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]
Therefore, the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{11-7}{5-(-3)}[/tex]
11 - 7 = 4
5-(-3)
5 + 3 = 8
4/8 = 1/2
The slope is 1/2.
Hope this helped.
please help i'm having a very hard time understanding this!
Hi there!
check the pic
#YoghurtCup!
Answer: F
Step-by-step explanation:
Put all numbers with 1 exponent.
[tex](\sqrt{8^4} *\sqrt{6^4} )^{\frac{3}{2} }\\\\=(2^{\frac{3*4}{2} }*(2^{\frac{4}{2} }*3^{\frac{4}{2}} )\ )^{\dfrac{3}{2} }\\\\\\=(2^6*2^2*3^2)^{\dfrac{3}{2} }\\\\=2^{8*\frac{3}{2} }*3^{2*\frac{3}{2}} \\\\\\\boxed{=2^{12}*3^3}\\\\\\Answer\ F[/tex]
Pls help me I will mark your answer as brainliest!
Answer:
9
Step-by-step explanation:
if we divide it my 9 we will get 927,998.666667
Answer: greatest number which should be replace m= 8
Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)
Step-by-step explanation:
5567292 is divisible by 6.
5567592 is divisible by 6.
5567892 is divisible by 6.
