Answer:
x = 7
Step-by-step explanation:
you can create a proportion:
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
cross-multiply:
36(6x-2) = 30(5x+13)
distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
The value of x for the given triangle sides is x = 7.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
Cross-multiply the equations,
36(6x-2) = 30(5x+13)
Distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
To know more about geometry follow
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There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?
The number of students that play hockey is 7
The proportion is given as:
[tex]Piano =\frac 12[/tex]
[tex]Hockey =\frac 14[/tex]
[tex]School\ Play =\frac 17[/tex]
The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:
[tex]Hockey =\frac 14 \times 28\\[/tex]
Multiply
[tex]Hockey =7[/tex]
Hence, 7 students play hockey
Read more about common multiples at:
https://brainly.com/question/290451
Find the slope of the line through each pair of points. (5, −5) (0, −1)
Answer:
slope = - [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 5 ) and (x₂, y₂ ) = (0, - 1 )
m = [tex]\frac{-1-(-5)}{0-5}[/tex] = [tex]\frac{-1+5}{-5}[/tex] = [tex]\frac{4}{-5}[/tex] = - [tex]\frac{4}{5}[/tex]
If there are 18 boys and 54 gurls in a room,fill out a of the possible ratios of boys to girls that could be made
Answer:
2:6 and 1:3.
Step-by-step explanation:
18 divided by 9 = 2
54 divided by 9 = 6
18 divided by 18 = 1
54 divided by 18 = 3.
Hope that helps. x
Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .
Step - by - step explanation :
18:54 divided by 6/6 = 3:9
3:9 divided by 3/3 = 1:3 <-- simplest form :D
Pls solve this with solution
What is the property to be used in each equation to solve for x? APE, SPE, MPE or DPE? (Property of Equality)
x+47=28
20=x-11
3.9x=27.3
5/7=-5/7 x
-x=27
32-x=27
Answer:
S, A, D, D, M
Step-by-step explanation:
Always do the opposite of what is happening in the equation.
x + 47 = 28, is adding, so you would use subtraction to solve for x.
I need help please it’s for school
From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.
Where is the Santa Clause's residence?
The residence of Santa Clause is popularly known as the North Pole.
According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km
Learn more about London in: https://brainly.com/question/7416097
What is the distance from 5,1 and 2,1
Answer:
2.0
Step-by-step explanation:
This question has 3 parts: subject (distance), and numbers (5.1 and 3.1).
Distance means subtraction. Between means to 5.1 and 3.1 .
So 5.1 - 3.1 = 2.0
1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a
Answer:
it's binomial...............................
The function f is defined below.
f(x)=−2x−3
Find f(1).
Answer:
[tex]f(1)=-5[/tex]
Step-by-step explanation:
[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]
f(1) means to substitute x with 1 or that x=1. So since x=1 you will substitute it in where x is and then solve like a regular equation which will give you -5.
please please look at the picture and see if you can help!!!! i’m struggling so badly!
4. Find the solution for each equation:
x + 4 = 16
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
when solving and equation with a variable, you must work backwards and do the opposite of the equation
sooo… you must subtract 4 (opposite of +4 is -4)
[tex]16-4=2[/tex]
x=12
Answer:
12 easy
Step-by-step explanation:
4 +12 =16 it's easy
A square with side length s has perimeter 4s. Nellie painted on a square canvas that is 10.5
inches on each side.
What is the perimeter of the picture?
Write your answer as a whole number or decimal.
Answer:
42inches
Step-by-step explanation:
Perimeter = 4s
where s is length of each side
when s is 10.5
Perimeter = 4 × 10.5
= 42
the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
How do I find the percentage of two column data table?
is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning
Answer:
Definitely not equivalent.
Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.
x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27
x^3 * x^3 * x^3 would be x^3+3+3 or x^9
What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2
The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
The given expression is:
[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]
Expand the expression using the laws of indices
[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]
[tex]25y^2 \times 4y^2[/tex]
Multiply like terms
[tex](25 \times 4)y^{2+2}[/tex]
The resulting expression is:
[tex]100y^4[/tex]
Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
Learn more on indices here: https://brainly.com/question/10339517
3x - 1 = 5 help me plz
Answer:
x = 2
Step-by-step explanation:
3x - 1 = 5
First, add 1 onto both sides. (When doing these type of questions you must do the inverse!)
3x = 6
Divide by 3 on both sides to get x.
x = 2
Hope this helps and I hope you have a good day!
Answer: 2
Step-by-step explanation: move constant to the right, calculate, divide both sides
[tex] \huge{꧁\: \large \frak{ \huge question } \: \huge꧂}[/tex]
what's the Answer ?
[tex]5 - 5 \div 5[/tex]
Answer:
[tex]5 \div 5 = 1[/tex]
[tex]5 - 1 = 4[/tex]
Hence , 4 is the answer !!Answer:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Step-by-step explanation:
5/5 =1
5-1 = 4
*4 is the ANSWER
(Have a Great Day)
please help what is 4.651-50.3
Help me plz I would really appreciate it!
Hope you could get an idea from here.
Doubt clarification - use comment section.
Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.
Answer:
send the graph and ill solve it
Step-by-step explanation:
i have questions up will mark brainliest
Answer:
what questions?
Step-by-step explanation:
the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???
The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.
A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?
A. 16
B. 25
C. 18.75
D. 5
Answer:
I believe the answer is 16 Don't get mad if incorrect just trying my best
Answer:
A. 16
Step-by-step explanation:
If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.
tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?
Answer: Tyson is 188 centimetres tall.
amplitude of y=-2sin(3x)+6
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = [tex]\frac{2}{3}[/tex]
17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)
Answer:
the corect answers is d and c
Step-by-step explanation:
Answer: B D E
Step-by-step explanation: I got it right on usetestprep
13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine
Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?