Answers
Answer:
36
Step-by-step explanation:
The angles of the triangle are equal.
Hence, the sides of the triangle must also be equal.
It is an equilateral triangle.
Equating JK and KL :
2x + 24 = 10x - 2410x - 2x = 24 + 248x = 48x = 6Finding KL :
KL = 10(6) - 24KL = 60 - 24KL = 36All angles are equal means all sides are equal
2x+24=10x-2424+24=10x-2x48=8xx=48/8x=6KL
10x-2410(6)-2460-2436Related Questions
Let U=(1,2,3,4,5,6,7,8,9,10) Let A = {2,4,6,8,10}. Let B=(1,3,4,6,9} Determine (A - B)'.
Answers
A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.
Since A ∩ B = {4, 6}, we have
A - B = {2, 8, 10}
Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.
(A - B)' = {1, 3, 4, 5, 6, 7, 9}
NEED THIS TOO GRADUATE PLS HELP
5x - 3y = 16
4x - 2y = 14
The system when solved is
(-3, -13)
(-5, 17)
(5, -3)
(5, 3)
Answers
how: because there arnt like terms in the two equations you find which number you can military to the equations to make one of the numbers the same. in this case i multiplied the top equation by -2y from the bottom equation (5x-3y=16)^-2 then multiplied the bottom equation by 3y (4x-2y=14)^-3 both equations multiplied are (-10x+6y=-32) and (-12x+6y=-42) now that we have two of the same terms (6y) they are the same signs (both positive) so we switch the sign on the bottom equation. (12x-6y=42) and because there the same we subtract the equations. (-10x+6y=-32) - (12x-6y=42)= 2x=10. the y cancels out. and now we divide 2 by 2x and that leaves x then we divide 2 by 10 =5 so your x=5 to find y we take any ORIGINAL equation im using (4x-2y=14) we use our x and replace 4x to 4(5)=20x making our new equation (20x-2y=14) we subtract -20 to 20 . cancels out 20 and leaves us with 2y=14 then subtract 20 it to 14. which gives us -6 (-2y=-6)
divide -2y by -2 which gives us y alone. then divide -2 by 6 gives -3. (y=-3) making (5,-3) your answer.
Determine the intercepts of the line. Do not round your answers. y-6=4(x+5)y−6=4(x+5)
Answers
y-intercept=26
Which is a property of polygons?
A polygon has a maximum of 100 sides
A polygon is a solid figure
A polygon is a open figure
A polygon is a plane figure
Answers
Answer:
A polygon is a plane figure.
Step-by-step explanation:
This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.
There is no max number of sides, so the first answer is not right.
In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)
Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.
It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.
Answer:
A polygon is a plane figure.
The function h(x) is a translation of the exponential function g(x) = 2(3)x − 4. What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units? Question 11 options: A) h(x) = 4(3)x − 7 + 9 B) h(x) = 4(3)x − 9 + 7 C) h(x) = 4(3)x – 7 + 7 D) h(x) = 4(3)x + 7 − 9
Answers
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
The function h(x) is a translation of the exponential function given as
[tex]g(x) = 2(3)^{x - 4}[/tex]
We have to determine, the h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward of 9 units, and a horizontal shift to the right 7 units.
The function h(x) is vertically stretched by 2.
[tex]h(x) = 2 (2(3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})[/tex]
Vertically shift upward by 9,
[tex]h(x) = 4((3)^{x - 4})\\\\h(x) = 4((3)^{x - 4})- 9[/tex]
And a horizontal shift to the right 7 units,
[tex]h(x) = 4((3)^{x - 7})- 9[/tex]
The function h(x) is a translation of the exponential function [tex]g(x) = 2(3)^{x - 4}[/tex] , is [tex]h(x) = 4(3)^{x + 7} - 9[/tex]
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PLEASE HELP ME OR I WILL GET IN TROUBLE PLEASE
kevin and anita are writing poems. kevin has no poems to start and writes three new poems each day anita has four poems to start and writes two new poems each day. After how many days will they have the same number of poems in their collections?
ANSWER
A) 1day
B) 2days
C) 3days
D) 4days
Answers
Answer:
4 days
Step-by-step explanation:
Answer:
D)
Step-by-step explanation:
Kevin starts with 0 poems but increases 3 each day
Let kevin = x
y = 3x
Anita has 4 poems to start with but increases 2 each day
Let anita = y
y = 2x + 4
As seen on this graph:
The point of intersection is (4,12)
The x axis being the number of days.
Thus the answer is D)
What is the distance between point C (-4,-6)and point D(1,6)
Answers
Answer:
the distance between the CD points is 5
Step-by-step explanation:
(-4,-6) (1,6)
it takes 4 to get from -4 to 0 plus 1 to get to 1
so 4+1=5
How tall is Merapi in Indonesia?
A. 2,698 meters
B. 3,000 meters
C. 5,201 meters
D. 26.2 miles
Answers
in a group of 60 workers they get paid an average of 80$ a day per person.
if some earn $75 a day and the rest earn $100 a day, how many earn $75 a day
Answers
Answer:
48 workers earn $75 a day.
Step-by-step explanation:
Let x people earn 75 a day then 60-x earn 100 dollars a day.
Average is $80 a day so total paid out to the 60 workers
= 60*80 = $4800.
So 75x + 100(60-x) = 4800
75x + 6000 - 100x = 4800
6000 - 4800 = 100x - 75x
1200 = 25x
x = 48.
Two quantities, Pand Q, are connected by
the relationship P= kQ+ c, where k and c
are constants. Q= 60 when P= 10 and
Q= 240 when P= 100.
Find the equation connecting P and Q.
Answers
Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
[tex]\frac{90}{180}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20
IF the sum of four times a number and four less than three times a number is seventeen what is the number
Answers
Answer: 3
Step-by-step explanation: This equation can be written as 4x+3x-4=17
We can now solve.
Moving the 4 to the other side (adding) and we get 21.
Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.
X = 3.
Solve 2x - 8 ≥ 22 - 4x.
A. x ≥ 5
B. x ≥ -15
C. x ≤ 5
D. x ≤ -15
Answers
Answer:
A. x ≥ 5
Step-by-step explanation:
Given :
2x - 8 ≥ 22 - 4x
Add 8 to each side :
2x - 8 + 8 ≥ 22 - 4x + 8
2x ≥ 30 - 4x
Add 4x to each side :
2x + 4x ≥ 30 - 4x + 4x
6x ≥ 30
Divide both sides by 6 :
1/6 x 6x ≥ 1/6 x 30
x ≥ 5
100 POINTS!!! VERY URGENT
Answers
Answer:
D) (f o g)(x) = 10x² - 60x + 93
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ (f o g)(x) = 10x² - 60x + 93
Answer:
[tex]\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93[/tex]
Step-by-step explanation:
[tex]\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:[/tex]
[tex]\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}[/tex]
i need this answer quickly
Answers
(-2,0)
You can check by putting 0 instead of Y or -2 instead of X
When x = 0 then y = 3 x 0 + 2 = 2
When x = -2 then y = 3 x -2 + 2 = -4
So the middle two answers (0, 2) and (2, 8) are both points on the line
what is he inverse of the function f(x) = 1/2x+10?
Answers
Hope it helps!!!
Ariana is opening a new restaurant. She has six entrees. How many different orders can she list them on her menu?
Answers
Answer:
if each was used only once, the answer would be 52080
Step-by-step explanation:
Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h - 7)(h - 11). Graph the function. What is the maximum volume for the domain 0 < h < 11? Round to the nearest cubic foot.
Answers
Answer:
96 ft³
Step-by-step explanation:
A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.
A cylinder has a base diameter of 12 inches and a height of 13 inches. What is its volume in cubic inches, to the nearest tenths place?
Answers
The volume of the given cylinder.
Solution:First, we'll have to find the raduis.
[tex]d = 2r [/tex]
[tex]r = \frac{12}{2} [/tex]
[tex]r = 6 \: in [/tex]
Now, we can work out the volume.
[tex]V = \pi {r}^{2} h[/tex]
[tex]V = \pi \times {6}^{2} \times 13[/tex]
[tex]V = 1470.26536 \: {in}^{3} [/tex]
[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]
Hence, the volume of the given cylinder is 1470.3 cubic inches.
Which is the graph of -2x + y < 5?
Answers
Answer:
Graph D
Step-by-step explanation:
Graph D is the graph of -2x + y < 5
Class A has 15 pupils and class B has 29 pupils. Both classes sit the same maths test. The mean score for class A is 35. The mean score for class B is 36. What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answers
Answer:
35.66
Step-by-step explanation:
Don't work with the mean given at first
1. Multiply the mean of class A by the number of students in class A
35 times 15=525
2. Multiply the mean of class B by the number of pupils in class B
36 times 29=1044
3. Add the answers you got
1044+525
4.Add the pupils of both classes
29+15=44
5.Then divide the total grades and pupils
1569/44 =35.659
6 Then round off
=35.66
Will a pencil of length 19cm fit in the beaker without poking out of the top?
Answers
Answer:
Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker
Solve ABC given A= 74 , a= 126, b=84
Answers
Please leave comments if you can’t read something. I’ll get back to you as soon as possible!
Find the sum and express it in simplest form. (3a2+2a)+(5a2-a-7)
Answers
Done
[tex] \pink{\underline{\boxed{8a²+a-7}}}[/tex]
Solution :-
[tex]\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{8a^2+2a-a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \Longrightarrow\sf{8a^2+1a-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{8a^2+a-7}[/tex]
[tex]\red{━━━━━━━━━━━━━━━━━━━━━━}[/tex]
Find the slope of the line graphed below
picture is attached
Answers
Answer: The answer is D.
Answer:
it is d cause i really need to be nice so i think it is d
Which statement best describes ratio
Answers
Reason. 3:12 is 3 pints blue paint to the total pints of paint (12 total)
Other question! 5th grade! help asap
Answers
The names of this polygon include:
Acute triangle. Scalene triangle. Which polygon is described?The polygon given has three sides which means that it is a triangle. It is an acute triangle because the angles are all less than 90°.
It is also a scalene triangle because all the sides have different lengths from each other.
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Answer:
Step-by-step explanation:
I: acute triangle
L: Isosceles triange
(sorry if im wrong i have not done this in a good few years lol)
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answers
Answer:
3052.08
Step-by-step explanation:
5. John is now three times as old as Bill.
In four years, John will be only twice
as old as Bill. Find John's age.
6
A. 4
B.
C.
8
D. 10
E. 12
Answers
Answer:
12 is johns age
Step-by-step explanation:
all you have to do is multiply johns age times 3 then you get your anser
what was the price per ounce of a 24-ounce bag of chocolate chips that cost $5.40?
Answers
Answer:
22.5¢ per oz
Step-by-step explanation:
24 oz cost = $5.30
1 oz cost = $5.40/24 = 22.5¢ per oz
Answer:
0.22.5
Step-by-step explanation:
10. The following measurements from yaw marks left at the scene of an accident were taken by law
enforcement officers. Using a 31-ft-long chord, the middle ordinate measured approximately 3
ft. The drag factor for the road surface is 1.02.
a. Determine the radius of the yaw mark to the nearest tenth of a foot.
1
Determine the minimum snood that it
Answers
The radius of the yaw mark to the nearest tenth of a foot is 11.2 ft
The minimum speed 11.1634 miles per hour.
What is Yaw mark?Yaw marks are always curved. They are, initiated by a steering input. They're what's left from a tire that is still rolling but is simultaneously sliding laterally.
The formula for determining radius from a chord and middle ordinate is
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
To find the radius of the yaw mark, we have to use the formula
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
where c is the length of the chord and m is the middle ordinate
As the tires leave a yaw mark with a 31 foot chord and a middle ordinate of 3 feet.
So,
[tex]r^{2}= \frac{31^{2}}{8*3}+\frac{3}{2}[/tex]
[tex]r^{2}= 40.041 +1.5\\r^{2}=41.541[/tex]
Now to find the minimum speed, we are going to use the formula: [tex]s=\sqrt{15fr}[/tex]
where 'f' is drag factor and 'r' is the radius
drag factor is 0.2, f=0.2
and r= 41.541 ft
So, [tex]s=\sqrt{15* 0.2*41.541}\\s=\sqrt{124.623}\\s= 11.1634 mph[/tex]
The minimum speed before the brakes are applied was 11.1634 miles per hour.
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