Answer:
Step 1
Step-by-step explanation:
18 − (3x + 5) = 8
Step 1: 18 − 3x + 5 = 8
Correct Step 1: 18 - 3x - 5 = 8
Step 2: -3x + 23 = 8
Step 3: -3x = -15
Step 4: x = 5
The distributive property was applied incorrectly on Step 1.
Answer: Step 1
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
PLEASE HELP WILL MARK YOU!!!
Answers:
a = 69b = 47c = 116d = 93e = 86==========================================================
Explanation:
For now, focus on the triangle with angles 'a', 71 and 40 degrees.
Recall that for any triangle, the inside angles always add to 180
a+71+40 = 180
a+111 = 180
a = 180-111
a = 69
---------------
Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180
b+133 = 180
b = 180-133
b = 47
---------------
Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.
Use the rule mentioned in the first section
a+b+f = 180
69+47+f = 180
116+f = 180
f = 180-116
f = 64
Now we can find angle c, because angles f and c are supplementary
c+f = 180
c+64 = 180
c = 180-64
c = 116
We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116
---------------
Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees
Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.
We'll do the same thing as before
d+40+47 = 180
d+87 = 180
d = 180-87
d = 93
---------------
The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.
40+d+g = 180
40+93+g = 180
133+g = 180
g = 180-133
g = 47
The vertical angle across from this is also 47 degrees.
Similarly, we can move that angle b over to its vertical pairing counterpart.
The smallest triangle at the very top has angles e, b, and g
e+b+g = 180
e+47+47 = 180
e+94 = 180
e = 180-94
e = 86
PLEASE HELP !!! URGENT
Answer:
The answer is B--> 111 degrees
Answer:
Here
X=75+36(Exterior angle of a triangle is equal to sum of interior opposite angle)
X=111
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
Two competing companies are having sales on laptops. Laptop #AX330M has a retail price of $2,100. The Buy Less is advertising #AX330M for 15% off, while Sell More has stated they will match any competitor’s advertised special and take an additional 10% off of the competitor’s advertised price. How much money is saved by purchasing the laptop from Sell More instead of Buy Less?
Answer: I only need the points :) <3
Step-by-step explanation: Two competing companies are having sales on laptops. Laptop #AX330M has a retail price of $2,100. The Buy Less is advertising #AX330M for 15% off, while Sell More has stated they will match any competitor’s advertised special and take an additional 10% off of the competitor’s advertised price. How much money is saved by purchasing the laptop from Sell More instead of Buy Less?
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
NASCAR A driver receives -25 points for each
rule violation. What integer represents the
change in points after 4 rule violations?
Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
can someone help asap
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
BET YOU CANT SOLVE THIS.......
Answer:
Step-by-step explanation:
20/5=4
as both the diagrams are similar.
so area of ABCD=4² ×area of EFGH=16×40=640 sq.cm.
Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples
Here is one: PEMDAS
12- ( 6 + 3) - 19 x 1 divided by 1
I hope this helps
the average of three numbers is 25. two of the numbers are 18 and 40. what is the third number
Step-by-step explanation:
the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you
The third number is 17
Average
The average of numbers is the mean value of the numbers
The given parameters are:
Average = 25Numbers = 18 and 40Assume the third number is x
So, the average is calculated as:
[tex]Average = \frac{\sum x}{3}[/tex]
This gives
[tex]\frac{18 + 40 + x}{3} = 25[/tex]
[tex]\frac{58 + x}{3} = 25[/tex]
Multiply both sides by 3
[tex]58 + x = 75[/tex]
Subtract 58 from both sides
[tex]x = 17[/tex]
Hence, the third number is 17
Read more about average at:
https://brainly.com/question/20118982
SADIDA NEEDED TO REORDER
SHIRTS FOR HER CLOTHING STORE.
SHE ORDERED 63 MEDIUM SHIRTS
AND 27 LARGE SHIRTS, WHAT WAS
THE RATIO OF MEDIUM TO LARGE
SHIRTS?
ratio of medium shirts to large shirts
63/27
=7:3 [Ans]
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answer:f(g)=2
Step-by-step explanation:
Which expression is equivalent to the given expression?
(776) (2y-4)2
Answer:
(776) (2y-4)²
(776) (4y²-8y-8y+16)
(776)(4y²-16y+16)
=3104y²-12416y+12416
Express the given set in roster form.
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
A line of best fit predicts that when x equals 35, y will equal 34.785, but y
actually equals 37. What is the residual in this case?
O A. -2.215
O B. 2.215
O C. -0.215
O D. 0.215
Answer:
c
Step-by-step explanation:
c
Geometry
What is the value of x?
Enter your answer in the box.
x = °
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180
30+70+x = 180
100 +x = 180
x = 180-100
x = 80
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
(4 points each.)
4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six
12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two
For the given statement Pn, write the statements P1, Pk, and Pk+1.
(2 points)
2 + 4 + 6 + . . . + 2n = n(n+1)
1. The given series is
4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) =
For n=1
L.H.S=4.6=24
R.H.S=[4×5×15]÷6
=300÷6
=50
So, for n=1,
L.H.S≠ R.H.S
Since the given expression is true for n=1 ,
So , the given series is untrue.
we should replace R.H.S by=4(n+1)(n+2)(4n-3)²
2.
12+42+72+.......+(3 n -2)2=
For n=1,
L.H.S=12
R.H.S=1×(6-3-1)/2
=2/2
=1
As L.H.S≠ R.H.S
We should Replace R.H.S by [(3 n-1)(3 n-2)]2
3.The given sequence is
2+4+6+....+2n=n(n+1)
L.H.S
P(1)=2
R.H.S
1×(1+1)
=1×2
=2
( b) L.H.S
P(n)=2+4+6+.....2 k
This is an A.P having n terms.
tex]S_{n}=
= n(n+ 1)
R.H.S=n(n+1)
So, P(k)=k(k+1)
(c) P(k+1)=2+4+6+.......+2(k+1)
This is an A.P having (k+1) terms.
=(k+1)(k+2)
So, P(k+1)= (k+1)(k+2)
(Btw this is not my answer)
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
A parabolic satellite television antenna has a diameter of 16 feet and is 1 foot deep. How far is the focus from the vertex
Answer:
[tex]P=16ft[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Generally the equation for a Parabola is mathematically given by
[tex]y=ax^2[/tex]
Since of the parabola has
Diameter [tex]d=16ft[/tex]
Depth [tex]dp=1ft[/tex]
Therefore it passes through
[tex]x=(8,1)[/tex]
Therefore
[tex]1=a(8)^2[/tex]
[tex]a=\frac{1}{64}[/tex]
Since P(distance from focus to the vertex)
[tex]a=\frac{1}{4p}[/tex]
Substituting
[tex]\frac{1}{64}=\frac{1}{4p}[/tex]
[tex]P=16ft[/tex]
