Answer:
[tex]\displaystyle QR = 12[/tex]
Step-by-step explanation:
First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).
We are given that PS = 18 and PR = 15, and we want to determine QR.
PS is the sum of PR and RS:
[tex]\displaystyle PS = PR + RS[/tex]
Substitute:
[tex]\displaystyle (18) = (15) + RS[/tex]
Solve for RS
[tex]\displaystyle RS = 3[/tex]
Since RS ≅ PQ:
[tex]\displaystyle RS = PQ = 3[/tex]
PS is also the sum of PQ, QR, and RS. Hence:
[tex]PS = PQ + QR + RS[/tex]
Since PS = 18 and RS = PQ = 3:
[tex](18) = (3) + QR + (3)[/tex]
Solve for QR:
[tex]QR = 12[/tex]
In conclusion, QR measures 12 units.
divide write your answer in simplest form 2/3 divided by 1/4
Answer:
8/3 or 2.6667
Step-by-step explanation:
when you divide fractions you use a technique called KCF
K = keep
C = change
F = flip
You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
you keep [tex]\frac{2}{3}[/tex]
you change the symbol, so from ÷ you change it to x
and flip the last fraction, so you would have [tex]\frac{4}{1}[/tex]
then you solve it
[tex]\frac{2}{3}[/tex] x [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]
The result of 2/3 divided by 1/4 in simplest form is 8/3 .
Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.
Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].
Division of fractional terms:
[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]
Apply, division process of fractional terms.
[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]
[tex]= \frac{8}{3}[/tex]
Know more about division,
https://brainly.com/question/29775887
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Help me pleaseeee help help
Answer:
Step-by-step explanation:
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20What is
6+4-3+9x10-7+3x28-2=
Answer:
172
Explanation:
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
What is the last step whenever dealing with fractions?
Answer:
The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.
(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
ii) Ramesh asked me where I lived. (into direct speech)
Answer:
Ramesh asked me,"where do you live?"
Ramesh said to me," where do you live".
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
What is the best measurement to eastimate the volume of a juice box
1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
The histogram below shows the number of hours per month students in Mr. Carter's class watch television. How many students watch television between 1 and 10 hours per month?
each of the figure below is made of the unit square which of the following figure has the maximum perimeter
6 question pls
Answer:
c is the answer
What is the inverse of f(x) = 2x2 –4?
Answer:
The inverse of the function is
[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]
Step-by-step explanation:
let the inverse of f(x) be m:
[tex]m = {2x}^{2} - 4 [/tex]
take 4 to the left hand side ( changes sign to positive ):
[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]
take a square root on all sides:
[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]
substitute x in place of m:
[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
Find the HCF of 1045 and 1520 by long division. Method plsss
Answer:
95
Step-by-step explanation:
you can watch answer in photo. by the way where r u from?
Answer:
I hope it helped U
stay safe stay happy ❤️❤️
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?
Answer:
f(1) = 0
f(2) = 4
f(3) = 8
Step-by-step explanation:
Substitute the values for the variable x.
[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]
When x= 1
y = 4(1) - 4
y = 0
when x = 2
y = 4(2) - 4
y = 4
when x = 3
y = 4(3) - 4
y = 8
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
Determine the perimeter of the shape to the nearest centimeter. (Picture included)
Answer:
44 cm
Step-by-step explanation:
So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.
Hope this helps! :D
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
what is the arithmetic property of x+0*d=x
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
pls help me , i need it done
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
x^2+6x+5-4y-y^2 factorize
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)