after examining the figure shown here, Daniel determines that FG/TU= EF/ST wich theorem or collary allowed him to draw that conclusion?
A. Side-splitting theorem
B. two- transversal proportionality corollary
C.Proportional Altitudes theorem
D. Proportional Medians Theorem
Answers
The Proportional Medians Theorem states:If two triangles are similar, then the ratio of the lengths of two corresponding medians is the same as the ratio of the lengths of two corresponding sides.
A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.
It is given the two triangles are similar.FG and TU are the medians of the triangle .
By Proportional Medians Theorem ratio of the lengths of two corresponding medians is the same as the ratio of the lengths of two corresponding sides.
So [tex] \frac{FG}{TU} =\frac{EF}{ST} [/tex]
Option D. Proportional Medians Theorem is the right answer.
Related Questions
what is the value of x
plz do not guess will mark brainlist do not comment any questions evrey thing you need is up there just post the answer
Answers
sin 30 = x/8
8 (sin 30) = x
4 = x
Polygon ABCD is rotated 90º counterclockwise about the origin to create polygon A′B′C′D′. Match each set of coordinates to the vertices of polygon A′B′C′D′. Tiles A′ (-1, 3) B′ (-2, 2) C′ (-2, 1) D′ (-1, 1)
<---->
<---->
<---->
<---->
Answers
Look at the picture.
Answer:
A'(-1, 1), B'(-2, 1), C'(-2, 2), D'(-1, 3)
Answer:
A' = (-1,3) - A = (3,11)
B' = (-2,2) - B = (2,2)
C' = (-2,1) - C = (1,2)
D' = (-1,1) - D = (1,1,)
Step-by-step explanation:
We have the polygon ABCD transformed to the polygon A'B'C'D' with the co-ordinates,
A' = (-1,3), B' = (-2,2), C' = (-2,1) and D' = (-1,1).
Since, the polygon is rotated 90 counterclockwise about the origin.
The co-ordinates (x,y) of ABCD will change to (-y,x) for A'B'C'D'.
So, we will change the co-ordinates (-y,x) of A'B'C'D' to (x,y) which gives the co-ordinates of ABCD.
That is,
Take the y-value to the 1st position and x-value to the second multiplied by negative sign.
Thus, we have,
A' = (-1,3) ------------------ A = (3,1)
B' = (-2,2) ------------------ B = (2,2)
C' = (-2,1) ------------------ C = (1,2)
D' = (-1,1) ------------------- D = (1,1,)
Andrea recorded the points she scored in her last eight basketball games. What is the mean absolute deviation of the scores
28,32,47,16,40, 35,38,54
Answers
The attached work shows how to find the MAD (mean absolute deviation).
Here are the steps:
1. Find the mean of the data. 2. Find the difference between the mean and the data values. 3. Find the average of these differences.
WXYZ is a square. If WT=3, find each measure
Answers
Hope this helps.
ZX
Solution:
The diagonals of a square are congruent, and bisect each other.
So, ZX = WY = 2(WT) = 6
In this exercise we have to use the knowledge of quadrilaterals to calculate the measures of each side of the square, in this way we can say that it will be valid:
[tex]ZX = WY = 6[/tex]
Given in the exercise that each the value of:
WT=3The diagonals of a square are congruent, and bisect each other, that will help to find:
[tex]WT=3\\ ZX = WY = 2(WT) = 6[/tex]
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Which of the following is an example of inductive reasoning?
A)Math seems fun so you conclude that everyone loves math.
B)All of your friends love math so you conclude that everyone loves math.
C)All of your friends love math. Jo loves math, therefore Jo is your friend.
D)You love math. Jo doesn't love math. Jo is not your friend.
Answers
Inductive reasoning takes into consideration all available fact, and puts them together to reach a valid conclusion. The other statement contain an error of logic, but choice A has a logical conclusion based on the premise.
Answer:
The answer is A
Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i
Answers
y = (x - 4)(x - i)(x + i)
y = (x - 4)(x^2 + 1)
y = x^3 - 4x^2 + x - 4
geometry easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
The 1st selection in the 4th panel is appropriate.
___
* The figure is not necessarily a trapezoid if the diagonals do not bisect each other. It can be any quadrilateral with at least one pair of non-parallel opposite sides, a kite, for example.
ABCD∼EFGH
AD=45 in. , EH=75 in. , and AB=30 in.
What is EF ?
Enter your answer in the box.
EF =
in.
Also Triangle ABC undergoes a series of transformations to result in triangle DEF .
Is triangle DEF congruent to triangle ABC ?
Select Congruent or Not congruent for each description.
Description Congruent Not congruent
Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF.
Triangle ABC is rotated 180°, and then translated 4 units down and 2 units right to form triangle DEF.
and
A point at (−1, 10) is rotated 90° counterclockwise about the origin.
What are the coordinates of the resulting image?
(−1, −10)
(1, −10)
(−10, −1)
(10, 1)
Answers
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
45/75 = 30/ EF
EF = (30×75)/45
= 50 in
2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent
4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)
How many pairs of parallel line segments are shown?
1. 8
2. 24
3. 4
4. 18
Answers
We then have as parallel edges:
AC and GE
CG and AE
CD and GH
AB and EF
BD and HF
DH and BF
CD and EF
GH and AB
Answer:
8 pairs of parallel lines
Answer: The correct answer is 8
Explain why the equation x^2+y^2=1 does not define y as a function of x
Answers
So take x = sqrt (5)
Substituting into the equation we get:
y^2 = (sqrt 5)^2 - 1
y^2 = 5 - 1
y^2 = 4
So what y value, when it is squared, gives us 4? It could be either 2 or -2. So there are two y-values that match one x value and the equation is not a function.
x^2 + y^2 = 4 is actually the equation for a circle with center at the origin and a radius of 2. Try graphing it by hand by choosing x = 0, -2, and 2 to get four points on the circle. Unless they specify that X Does not equal to one, then this isn't a function. Say X DOES = 1 then you'd have 1/(1^2-1) which would give you 1/0 which isn't a function. So like the other have said, it IS a function UNLESS x=1 Hope that helps!
simplify 6/x-6+3x/x+5-1/(x-6)(x+5)
Answers
To simplify a complex algebraic expression, you handle fractions first by bringing them to a common denominator. However, the resources provided seem misplaced as they pertain to calculus rules and Chemistry, which are not relevant to this algebra question.
Explanation:The student's question is asking to simplify a complex algebraic expression: 6/x-6+3x/x+5-1/(x-6)(x+5). To simplify such an expression, it's best to deal with fractions first. Note that the given expression can also be expressed as three separate fractions summed together, i.e., (6/x-6) + (3x/x+5) - [1/(x-6)(x+5)]. Dealing with fractions in simplification, we combine them to a common denominator and rationalize the numerator and denominator. After that, simplify the resulting expression. However, with provided reference, it seems that there is a misunderstanding or a misplacement of information because resources given are about calculus rules and Chemistry which are not relevant in simplifying this algebraic expression.
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Will FAN and MEDAL
A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.
Answers
Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.
in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1
in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft
in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft
the answer part 1) BC is 17491 ft
Part 2) Find CD, the height of the plane from the ground, to the nearest foot.
CD=sin24*BD ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft
the answer part 2) CD is 6499 ft
Is 5,783 − -500,500 positive or negative?
Answers
*positive (minus) a negative equals a positive*.
It has always stayed in my mind ever sense.
And because of this, I could be able to help you on this question.
This would be known to be a "positive".
As we mentioned above, (+)-(-)= (++).
Your answer: Positive.
we know that
A positive number minus a negative number is equal a positive number
so
we have
[tex]5,783-(-500,500)=5,783+500,500=506,283[/tex]
therefore
the answer is
A positive number
An urn contains six red balls, five black balls, and four green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected. Please explain how to do it
Answers
[tex]15\times14=210[/tex]
The favorable cases, number of possibilities:
[tex]6\times5=30[/tex]
Now we get the probability by dividing the above two numbers:
[tex] \frac{30}{210}=0.14 [/tex]
The probability that a red ball and a black ball is selected is 0.14.
Factor the expression. 4x(x^2 − 7) + 3(x^2 − 7)
Answers
To factor an expression, you need to analyze it and find a common variable or expression on the expression given. In this expression, you can observe that the expression x^2 – 7 is common to the two terms. You need to factor it out from the both of them.
4x (x^2 – 7) + 3 (x^2 – 7)
(x^2 – 7) (4x + 3)
This is already the complete factor of the expression.
Which graph represents the function?
Answers
Between x = 0 and x = 3 y is increasing so the correct graph is Graph 2.
f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))
so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.
The Upper Right graph is the only one with the zeros and asymptotes in the right places.
Each test grade in Sara's science class counts for 1/6 of the final grade. The final exam counts for 1/2. Sara's test scores are 72, 84, and 90. Her final exam score is 90.
What is Sara's final grade for the class?
A) 83
B) 86
C) 87
D) 89,
Answers
(50 PTS) NEED HELP FAST ILL MARK BRAINLIEST AND RATE 5 STARS AND SAY THANK YOU
A tournament organizer recorded the number of people in different age groups who participated in the archery tournament. He then created the following histogram:Which of the following statements best compares the height of the bars of the histogram?
A.) There are more participants in the 20–39 age group than in the 0–19 and 60–79 groups combined.
B.) There are more participants in the 20–39 age group than in the 40–59 and 0–19 groups combined.
C.) There are twice as many participants in the 40–59 age group than in the 60–79 age group.
D.) There are twice as many participants in the 0–19 age group than in the 60–79 age group.
Answers
Answer:
d
blessed have one
The vertex form of the equation of a parabola is X=(y-3)^2+41. What is the standard form of the equation?
Answers
Answer: x=Y^2-6y+50
For APEX
Answer:
x=y^2-6y+50 i need to have more than characters so hdgyhejdufcyhgedhwbsnjdeufhdebwjnkdeufyhedgbw
How many hours of training would you need to have a salary of $1,265? 20 points
Hours of Training / Monthly Salary
10 1250
20 1400
30 1550
40 1700
50 1850
60 2000
70 2150
Answers
[tex] \frac{1250}{10 } = \frac{1265}{x} [/tex]
solve for x
1250x=12650
[tex]12650 \div 1250 = x[/tex]
x=10.12 hours
An engineer earns $6000 per month. A contractor makes $80 per hour, while a teacher gets basic salary of $3000 and $50 per hour any additional job. Considering a month, which job
is better;when, and why? Justify your answer using graphs,equations, and tables
Answers
Multiplying 8 hours of work by 20 working days in a month, we will get 160 monthly working hours.
Now let's compute:
Engineer: $6000 per mo. / 160 hrs. = $37.5 per hr.
Contractor: $80 per hr. * 160 hrs. = $12,800 per mo.
Teacher: $3000 per mo. / 160 hrs. = $18.75 per hr. + $50 per hr = $68.75 per hr.
Can someone graph it for me and answer a or b???
Answers
What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the quantity of x plus 6?
Answers
Answer:
The answer above is the correct answer
Which of the functions below is the inverse of the logarithm function?
Linear function
Exponential function
Rational function
Radical function
Answers
Answer:
Option 2 - Exponential function
Step-by-step explanation:
To find : Which of the functions below is the inverse of the logarithm function?
Solution :
The inverse of a logarithmic function is an exponential function.
As by property of logarithmic,
[tex]y=\log_b(x)\\\Rightarrow x=y^b[/tex]
For example -
Taking log function,
[tex]y=\log_2 x[/tex]
Applying property it convert into exponential function,
[tex]x=2^y[/tex]
The graphs of the logarithmic function and the exponential function are mirror images of one another.
Therefore, Option 2 is correct.
What number belongs in the blank space in the formula??
Answers
The formula is An=An-1+d
(15,-9) is dilated by a scale factor of 3 what is its new location
Answers
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)
Write a explicit equation for the sequence 6,18,54,162,...
Answers
6,18,54,162,...
we know that
a1=6
a2=18
a3=54
a4=162
a2/a1=18/6--------> 3
a3/a2=54/18-------> 3
a4/a3=162/54------> 3
therefore
a(n+1)=an*3
a1=6
for n=1
a(1+1)=a1*3---------> a2=a1*3--------> a2=6*3------> a2=18
for n=2
a(2+1)=a2*3---------> a3=a2*3--------> a3=18*3------> a3=54
for n=3
a(3+1)=a3*3---------> a4=a3*3--------> a4=54*3------> a4=162
therefore
the equation for the sequence is
a(n+1)=an*3
What is the value of y if (4y + 8) - (7y - 12) = 11? (PLEASE ANSWER + 10 POINTS!!!!)?
Answers
(4y + 8) - (7y - 12) = 11 is 1(4y + 8) - 1(7y - 12) = 11
1(4y + 8) - 1(7y - 12) = 11 Given
4y + 8 - 7y + 12 = 11 Distribute the 1 and the -1
-3y + 20 = 11 Combine like terms
-3y = -9 Subtract 20 from both sides
y = 3 Divide both sides by -3
Answer:
y = 3
Which is the equation of a line that is perpendicular to the line represented represented by y = 3/4x - 1/2 ?
Answers
.. y = -4/3x +c . . . . . for some value of c
_____
The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.
The equation of a line that is perpendicular to the given line is y = -4/3x + c.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation of a line is y = 3/4x - 1/2 ------ (1)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing the equation 1 with general form,
Slope of the line, [tex]m=\frac{3}{4}[/tex]
Then, the slope of the line perpendicular to the given line is [tex]\frac{-1}{m}[/tex]
⇒ [tex]\frac{-1}{m}=\frac{-1}{\frac{3}{4} }[/tex]
⇒ [tex]\frac{-1}{m}=\frac{-4}{3}[/tex]
No points were defined that this 'normal' should pass through, so its intercepts are indeterminate.
Thus the equation of line in slope intercept form is
[tex]y=\frac{-4}{3}x+c[/tex]
Hence we can conclude that the equation of a line that is perpendicular to the given line is y = -4/3x + c.
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Can someone plz explain Pythagoras theorem to me
Answers
So if the length of the hypotenuse = c units and the lengths of the 2 legs are a and b units The theorem says
c^2 = a^2 + b^2.
I assume you meant to say the Pythagorean Theorem. The Pythagorean Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex] and it is used to find the length of a side of a triangle.
Hope this helps!