Answer:
x = 20, y = 10
Step-by-step explanation:
Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.
Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10
Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example.
Subtract and reduce to lowest terms: 9/10 - 3/10.
PLEASE HELP ASAP
Answer:
Step-by-step explanation:
A
No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.
B
Factor each number into it's primes.
24 = 2*2*2*3
32 = 2*2*2*2*2
The highest common factor is 2*2*2 = 8
C
9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.
6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2
The five-number summary of a data set is given below.
Minimum: 3
Q1:12
Median: 15
Q3: 16
Maximum: 20
Which of the following is the IQR for this distribution?
1
3
4
5
Answer:
127 is the IQR.
Step-by-step explanation:
C: 4
IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)
Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯
if n=11 what is p pls help me
p=49 1/2 that's the answer i got you lil guy
Please help again it’s already late so no rush but also like kinda rush?
Answer:
B) Obtuse scalene
Step-by-step explanation:
Angle of 122 > 90 so it's obtuse
7.3≠2.9≠5.3 so it's scalene
Answer:
b
Step-by-step explanation:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z (-_-)
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
What is the equivalent expression for 4(x + 5)
Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?
It will take about 5 years for her investment to grow to $2400.
The formula for calculating the compound amount is expressed according to the equation;
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)Substitute the given parameters into the formula to have:
[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]
Take the natural logarithm of both sides
[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]
Hence it will take about 5 years for her investment to grow to $2400
Learn more on compound interest here: https://brainly.com/question/24924853
The graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
928.9 cm3
1,497.9 cm3
2,663 cm3
665.7 cm3
Answer:
3 you welcome
Step-by-step explanation:
Answer:
2,663 cm3
Step-by-step explanation:
I REALLY NEED HELP ON THIS
Answer:
It's D. 53.1°
Step-by-step explanation:
raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles
Answer:
Ralph's speed is 2 miles in 24 minutes.
(Unit rate, Ralph runs 1 mile in 12 minutes)
Step-by-step explanation:
4 divided by 2 is 2 (miles)
2/5 of an hour is 24 minutes (60/5=12+12=24)
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
HELP PLEASE FOR BRAINLIST!!!!!!!!!!!!
Answer:
a(x) and d(x)
hope that helps, have a good day!
dont forget my brainliest.
Step-by-step explanation:
If TU = 6 units, what must be true?
O SU + UT = RT
O RT + TU = RS
© RS + SU = RU
TU + US = RS
Answer:
SU + UT = RT
Step-by-step explanation:
Given that TU = 6 units, RT = 12 units and RS = 24 units.
So,
For finding US, we will subtract the length of RT and TU from RS.
US = RS - RT - TU
US = 24 - 12 - 6
US = 6 units
Putting all the given values in the given conditions, we get the first option right, which is:
SU + UT = RT
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807which of the following rational functions is graphed below? A f(x) = x/(x+5)(x-2) B f(x)= x-2/x(x+5) C f(x)= (x+5)(x-2)/x D f(x)= 1/(x+5)(x-2)
Answer:
A f(x) = x/((x+5)(x-2))
Step-by-step explanation:
The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.
The zero at x=0 indicates (x -0) is a factor of the numerator.
The simplest function that will give a graph like this is ...
f(x) = x/((x +5)(x -2))
Find the slope of the line that passes through 9,7 and 6,15
[tex]\huge \bf༆ Answer ༄[/tex]
Let's find the slope considering the points (9 , 7) and (6 , 15)
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf \dfrac{15 - 7}{6 - 9} [/tex][tex] \sf \dfrac{8}{ - 3} [/tex][tex] - \dfrac{8}{3} [/tex]5/8 ,2/12 ,8/10 least to greatest
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
What happens to the value of the expression 20 + a, a as a increases?
Answer:
With the increase of the value of a ,the value of the expression 20+a will also increase.
Step-by-step explanation:
What is the correct answer?
Answer:
The first one:
Equation n+(n+1) +(n+2)=36
3n+3=36
the numbers are 11, 12,13
Step-by-step explanation:
So if you plug ll for n you get 36
So if you plug 12 in for in u get 39
Then in you plug 13 in for n u get 41
I hoped that helped
Answer: First option
The numbers are 11, 12, 13
11+12+13 = 36
===============================
Explanation:
Here's one way to solve for n
n+(n+1)+(n+2) = 36
3n+3 = 36
3n = 36-3
3n = 33
n = 33/3
n = 11
That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13
So the three numbers are 11,12,13
11+12+13 = 23+13 = 36 which confirms the answer
-------------
For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.
As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.
Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.
The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.
What is an equation showing the relationship between w and t?
Enter your answer by filling in the box to complete the equation.
w =
The equation showing the relationship between w and t is [tex]w = 4t[/tex]
From the table, we have the following points:
(0,0) and (1,4)
Start by calculating the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{4 -0}{1 -0}[/tex]
Simplify the numerator and the denominator
[tex]m = \frac{4}{1}[/tex]
Divide 4 by 1
[tex]m = 4[/tex]
The equation is then calculated as:
[tex]w = m(t - t_1) + w_1[/tex]
This gives
[tex]w = 4(t - 0) + 0[/tex]
Simplify
[tex]w = 4t[/tex]
Hence, the equation is [tex]w = 4t[/tex]
Read more about linear equations at:
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Find the value of x.
Answer:
11
Step-by-step explanation:
Arc YZ and angle YXZ must add up to 180. You can review your notes, and you will probably find an identity that relates to this. But I will prove this using quadrilaterals, mainly, well, because I forgot what the identity was.
Lets call the center of the circle O. Angles XYO and XZO must be 90 degrees since they are tangent to the circle. These angles add up to 180, leaving the two remaining angles, who also must add up to 180. Therefore, the angle YOZ, and YXZ, must add up to 180. Note that angle YOZ is equal to arc YZ.
In our case, angle YOZ is 125 degrees given by the arc YZ, and the angle of YXZ is 6x-11. We can set up an equation like this:
YXZ+YOZ=180
6x-11+125=180
Simplify
6x+114=180
Solve
6x=66
x=11
Therefore, our value of x is 11 and the angle YXZ is 55 degrees.
An arts academy requires there to be 4 teachers for every 100 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 144 standents?
Answer: 25 students per teacher and 12 students per tutor. They need 2.4 tutors for the school
What is the slope of the line through (-10, 1) and (0, -4)?
Answer:
-1 / 2.
Step-by-step explanation:
The Slope of a line when given two points:
First establish the two points as (X1, Y1) and (X2,Y2)
you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order
So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)
Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)
Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**
Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.
Answer:
-1/2
Step-by-step explanation:
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?
Answer:
18 glue sticks are left.
Step-by-step explanation:
There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).
Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
The graphs can be translated or moved about the xy-plane
After point D is reflected across the y-axis, its coordinates are
D(-1, 2) ⇒ D'(1, 2)
This is the point that gets translated to F(-3, -2). The translation is
F -D' = (-3, -2) -(1, 2)
= (-3-1, -2-2)
= (-4, -4)
Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
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how to solve 15=6+2(n-3) + 3n
Step-by-step explanation:
15 = 6 + 2(n-3) + 3n
or, 15 = 6 + 2n - 6 + 3n
or, 15 = 6 - 6 + 2n + 3n
or, 15 = 0 + 5n
or, 15 = 5n
or, 15/5 = n
or, 3 = n
;- n = 3.....
I Hope that this will Help you...!!!
System of equation
Value of b
frankie earned $43,720 last year. if social security tax is $6.20 tax per $100 earned, then how much social security did they pay last year?
Answer:
$2,710.64
Step-by-step explanation:
Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.
437.2
Do 6.20 times 437.2 to get your answer.
$2,710.64
Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D
From the computation done, it can be denoted that the total price that will be paid will be $12.90.
1 Krispy Kosmos at $2.89 = $2.89
2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38
1 Gooey Globs at $2.99 = $2.99
Total = $2.89 + $6.38 + $2.99 = $12.26
We'll then add the sales tax of 5.2%, therefore, the total value will be:
= $12.26 + (5.2% × $12.26)
= $12.26 + $0.638
= $12.90
In conclusion, the correct option is $12.90.
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Answer:
C
Step-by-step explanation:
Edg 2022
What is the equation of the line that passes through the point (-5, -2) and
has a slope of -6/5
Answer:
y=-6/5x-8
Step-by-step explanation:
Because you know the slope of the line, you can put it into the slope-intercept form equation:
y=-6/5(x) +b
Then plug in the x and y values which are -5 and -2:
-2=-6/5(-5) +b
Now you can solve for b:
-2=6 +b
-8=b
Now that you know b and already have the slope, plug those into the equation:
y=-6/5x -8