Answers
in triangle sum of angles =180
so
4k+5+6k+10+65=180
10k+80=180
10k=180+80=260
k=260/10
k=26
Related Questions
(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)
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)
Please help me out!! :)
Answers
We need to find the area of the regular polygon as shown in the image.
Now in a regular hexagon the line joining the center and the vertex of a hexagon have the same length as the length of each side. (Refer the attached image)
[tex]10 \sqrt3cm=10 \times 1.732=17.32 cm[/tex]
A regular hexagon is made up of 6 equilateral triangles inside which means all the sides are of the same length.
Now, we know that the length of a side of an equilateral triangle is [tex]10 \sqrt 3[/tex] cm. So the area of one equilateral triangle is:
[tex]\frac{\sqrt 3}{4} \times (a)^2[/tex]
Where, 'a' is the side length of the equilateral triangle.
Therefore, area [tex]= \frac{\sqrt 3}{4} \times (10 \sqrt3)^2= \frac{\sqrt 3}{4} \times 100 \times 3=75 \sqrt3[/tex] square centimeters.
Now that we have the area of one equilateral triangle and there are 6 of them in a regular hexagon we can find the area of hexagon.
So, the area of given regular polygon is [tex]=6 \times 75 \sqrt 3=450 \sqrt 3 cm^2[/tex].
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
The area of a soccer field at 7700 yd.². The width of the field is 70 yards. What is the perimeter of the field?
Answers
I need some help on this triangle similarity proof in Geometry!
Answers
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!
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.
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
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
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
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
Find the surface area of the cylinder to the nearest tenth of a square unit with a radius of 3cm and a height of 18.2 cm. use 3.14 for pi.
Answers
The formula used to find the surface area is 2 x pi x r^2 (area of the faces) + pi x d x h (area of the curved surface which is the diameter times the height).
Substitute the values in and it would be 2 x 3.14 x 3 x 3 + 3.14 x 6 x 18.2. The surface area would be approximately 399.4 square cm. This is approximate because pi is rounded.
Final answer:
The surface area of a cylinder with a given radius of 3 cm and height of 18.2 cm is calculated using the formula 2πr(height + r), which results in approximately 400.1 square centimeters.
Explanation:
The question asks to find the surface area of a cylinder with a radius of 3 cm and a height of 18.2 cm, using 3.14 for pi. The formula for the surface area of a cylinder is 2πr(height + r), where r is the radius, and the height is the vertical dimension of the cylinder.
Plugging in the given values:
Radius (r) = 3 cmHeight = 18.2 cmPi (π) = 3.14We get: Surface Area = 2 * 3.14 * 3 * (18.2 + 3) = 2 * 3.14 * 3 * 21.2 = 400.1 cm²
Therefore, the surface area of the cylinder, rounded to the nearest tenth, is 400.1 square cm.
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
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
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.
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]
See more about square at brainly.com/question/13747846
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!
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.
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
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.
Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2.
What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?
A. −3
B. −1.5
C. 1.5
D. 3
Answers
The formula to calculate a z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
where X is the value we're calculating the z-score for, μ is the mean and σ is the standard deviation.
Using our information we have:
[tex]z=\frac{13-16}{2}=\frac{-3}{2}=-1.5[/tex]
The correct answer is option B. -1.5.
To calculate the z-score for a wide receiver who dropped 13 footballs over the course of a season, we use the z-score formula:
z = (X - μ) / σ
where:
X is the value to be standardized (13 footballs in this case)μ is the mean (16 footballs)σ is the standard deviation (2 footballs)Substitute the values into the formula:
z = (13 - 16) / 2
This simplifies to:
z = -3 / 2 = -1.5
Therefore, the z-score for a wide receiver who dropped 13 footballs is B. -1.5.
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.
Learn more about equation of a line here
https://brainly.com/question/1548429
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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
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.
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.
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.