Given ΔDEF : ΔRST, find x. 12 15 16 64
Answers
Answer:
12
Step-by-step explanation:
For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.
Two triangles are said to be similar if corresponding angles are equal or corresponding sides are in the same proportion.
Given triangles are similar:
ΔDEF ~ ΔRST
Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.
[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]
Thus, the value of x is 12. So, option a) is correct.
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Related Questions
Choose the point-slope form of the equation below that represents the line that
passes through the points (-6, 4) and (2, 0). (2 points)
1) y - 4 =-1/2 (x+6)
2) y - 4 = 2(x + 6)
3) y+6=-1/2(x - 4)
4) y + 6 = 2(x - 4)
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since the slope of the line, m = -1/2
and we know that, line equation is, y=mx+c
so the answer is, option 1.)
1.) y-4 = -1/2 (x+6)
the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x
Answers
Answer:
it is 4 i just did it
Step-by-step explanation:
Answer:
Four
Step-by-step explanation:
4
Line p passes through point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y= 1/4x+6 B. y = -1/4 x + 8 C. y = 4x – 8 D. y=-4x - 6
Answers
Answer:
A
Step-by-step explanation:
Because when the line passes through (0,8) with perpendicular to the graph of y =1/4 x =2 it equals y+1/4x+6.
The equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
Line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
The slope of the line p is:
m(p) = -4
The slope of the line q parallel to line p:
m(q) = -4
The equation of the line q:
y - 6 = -4[x + 3]
Line q passes through the point (-3, 6).
The equation of the line:
y = -4x - 12 + 6
y = -4x - 6
Thus, the equation of line q in slope-intercept form is y = -4x - 6 if the line p passes through the point (0, 8) and is perpendicular to the graph of y = 1/4 x + 2.
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Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas. Mr. Becker’s class decides to order enough so that every 5 students will have 3 pizzas. Complete the following statements. You can enter whole numbers, decimals rounded to the hundredths place, or simplified fractions.
Each student in Ms. Rodriquez’s class will get _____ of a whole pizza.
Each student in Mr. Becker’s class will get _____ of a whole pizza.
Answers
Answer:
2/3
3/5
Step-by-step explanation:
The student council made a pront of $3,000 on a car wash. If they invest the money at 5% interest
compounded yearly, how much money would they have in four years?
Answers
Answer:
$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
Step-by-step explanation:
We are given:
Principal Amount = $3000
Interest Rate r = 5% or 0.05
n=1 (compounded yearly)
Years t= 4
We need to find future value (A)
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values in formula and finding future value A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]
So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.
A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement
Answers
The two possible measurements given by the student are :
19 cm or 21 cmGiven the Parameters :
Length of stick = 20 centimeters Percentage Error in measurement = 5%The length of the error in measurement can be calculated thus :
Percentage error in measurement × length of stick 20 cm × 5% = 1 cmTherefore the student's measurement can be expressed as :
Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20Therefore, the possible measurements of the student are 19 or 21 cm
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y’all what is 1/7=1/7x-3
Answers
Answer:
x=22
Step-by-step explanation:
i need help asap......
Answers
Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.
Answers
Answer:
5
Step-by-step explanation
Aops Question
[x] can be any number between -
3.33 < x < 4.29.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the following inequality -
[tex]$\frac{2}{3} < \frac{x}{5} < \frac{6}{7}[/tex]
We can write -
x/5 > 2/3
x > 10/3
x > 3.33
and
x/5 < 6/7
x < 30/7
x < 4.29
[x] can be any number between -
3.33 < x < 4.29
Therefore, [x] can be any number between -
3.33 < x < 4.29.
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Sandra can run 5 miles per hour. Write an equation to show the relationship between the amount of hours, h, and the total distance, d. Explain how you got your answer.
Answers
Answer:
d=5h because the number of hours run multiplied by 5 would equal the
total distance.
CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi
Answers
Answer:
C
Step-by-step explanation:
I just took the quiz :D
May I have Brainiest???
You want to buy a new TV the has a regular price of $450. It is on sale for 20% off.
What is the amount of discount?
$95.40
What is the sale price?
Answers
Answer:
you just have to be poggers and the answer will come to you
Step-by-step explanation:
20 points and brainliest.
Answers
Answer:
c.
Step-by-step explanation:
f(x)=3x+5
y=3x+5
x=3y+5
x-5=3y
y=(x-5)/3
y=1/3x-5/3
Why does the sequence of translating and reflections matter?
Answers
Answer:
If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.
Step-by-step explanation:
Hope this helps you with your math
Can u help my 9-12 real quick
Answers
Answer:
9. B
10. C
11. A (probably)
12. D
Answer:
9) a
10) c
11) a
12) d
( I don't know if 11 and 12 are correct)
which is the line of best fit and why?
Answers
Responder:
Opción de respuesta c
Explicación paso a paso:
Es una pendiente positiva como los datos, también coincide con muchos de los puntos.
Espero que te aya ayudado
Answer:
Answer choice c
Step-by-step explanation:
It is a positive slope like the data, it also matches up with many of the points.
The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.
Answers
Step-by-step explanation:
The height, h in feet, of a rocket is given by, where t is time in seconds.
[tex]h=-16t^2+64t+190[/tex] ...(1)
We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+64t+190)}{dt}=0\\\\-32t+64=0\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
So, it will reach its maximum height in 2 seconds.
Now put t = 2 in equation (1) as follows :
[tex]h(2)=-16(2)^2+64(2)+190\\\\=254\ \text{feet}[/tex]
So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.
If three coins are tossed, how many outcomes are favourable to getting 1 head a 2 tails. Present the answer as a fraction.
Answers
Answer:
There are 8 possible outcomes
h h h
t t t
h t h
t h h
h h t
h t t
t t h
t h t
One head and 2 tails occurs in the sixth, seventh and eighth rows.
So, the probability is 3 out of 8 or 3/8 or .375
Step-by-step explanation:
The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is
Answers
Answer:
thxss for the points love
Step-by-step explanation:
kisses
Answer:
16
Step-by-step explanation:
What is the area of a circle with equation (x+2)2+(y-4)2=36?
Answers
Answer:
X+Y=20
Step-by-step explanation:
(x+2)2+(y-4)2=36
2x+4+2y-8=36
2x+2y=36+4
X+Y=20
Final answer
X+Y=20
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
Answers
y=9+9 because when you take that factor off you add 8 + 1
Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?
Answers
Answer:
Price per yard is $6,5
Step-by-step explanation:
22.75/3.5 = 6,5
1. If g(x)= 4(3)* then g(-2)= ?
Help please
Answers
Answer:
-8
Step-by-step explanation:
Assuming that the in parentheses is what we are supposed to change (3)..We would replace the three with the negative two this means that we will solve for four times -2 which equals -8.Hope this helps!
Complete the equation of the line through (3,-1) and (4,7)
Answers
Answer:
y=8x-25
Step-by-step explanation:
I put my work in the picture I attached
Answer:
y=8x-25
Step-by-step explanation:
1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8
2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b
3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25
4) then you put everything together and you get y=8x-25
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
All students at the university
The proportion of the 300 surveyed students who are in-state students
The list of the 300 answers to the survey question
The answer in-state out-of-state or foreign
The 300 students who were surveyed
The proportion of all students from this university who are in-state students
population
Statistic
Data
Variable
Sample
Parameter
Answers
Answer:
The correct matches are;
All students at the university → Population
The proportion of the 300 surveyed students who are in-state students → Statistic
The list of the 300 answers to the survey question → Data
The answer in-state out-of-state or foreign → Parameters
The 300 students who were surveyed → Sample
The proportion of all students from this university who are in-state → Variable
Step-by-step explanation:
1) The population is the set that contains total number of possible observation in the question, the population is all the students of the university
2) A statistic is a calculated quantity derived from a sample's data value that can be used in estimating a parameter of the population or outlining a sample characteristic
The proportion of the in-state student in the sample is found by taking the ratio of the number of in-state student in the sample to the total number of student in the sample
3) Data are collected information which may be qualitative or quantitative variables
The answers collected in the survey are the data of the 300 surveyed student
4) A parameter is the value that is used as the means of measuring or classifying an item or system
5) A sample is a part or portion of a population, that serves as representative of the population
6) A variable is a quantity that can vary or cannot be said to be constant.
The number proportion of all students from the university who are in-state students can change due to change in the proportion during graduation and admission.
The vocabulary word when correctly matched to the corresponding example would give:
All students at the universityPopulation
The proportion of the 300 surveyed students who are in-state studentsParameters
The list of the 300 answers to the survey questionData
The answer in-state out-of-state or foreignVariable
The 300 students who were surveyedSample
The proportion of all students from this university who are in-state students populationStatistic
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Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answers
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
Evaluate each value expression for the given value of x: 22-x/5 , x=20
Answers
Answer:
18
Step-by-step explanation:
or
for taking sq root:
x=√10 or x=−√10
WILL MARK BRAINIEST IF RIGHT
(AMC8, 2008) In square ABCE, A F = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?
A. 1/6 B. 2/9 C. 5/18 D. 1/3 E. 7/20
Answers
Answer:
The answer is A
Answer:
C
Step-by-step explanation:
PLEASE HELP WITH THIS!
Answers
Answer:
42
Step-by-step explanation:
Answer:
The answer would be (A.)
Step-by-step explanation:
Can you answer my question that i just posted please and thank you :)
Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0
Answers
Answer:
I think -4
Step-by-step explanation: