Use angle sum property (the 3 angles in a triangle sum up to 180°).
2x + x + 54 = 180
3x + 54 = 180
3x = 180 - 54
3x = 126
x = 126/3
x = 42
_____
Hope it helps ⚜
x = 42
Explanation:-We know that,Angles of a triangle adds to 180°
So,=> 2x + x + 54 = 180
=> 3x = 180 – 54
=> 3x = 126
=> x = 126/3
=> x = 42
(x = 42° ; 2x = 84°)
f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation
Step-by-step explanation:
Given:
f(x) = x² and g(x) = (x - 9)² + 3If g is the translation of f then it is:
g(x) = f(x - 9) + 3This is a shift right 9 units and up 3 units
Answer:
Yes
Step-by-step explanation:
f(x)=x²
y=x²Shift nine units right
y={x-9)²Shift 3 units up
g(x)=(x-9)²+3pls help i need help with this been working fo a bit
[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}(y+x)[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}x+\dfrac{5}{7}y[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x+\dfrac{5}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}y[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{-14+25}{35}y[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{11}{35}y[/tex]
Done!
[tex] \boxed{\huge \bf \: Question:—}[/tex]
[tex] \sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} (y + x)[/tex]
[tex]\boxed{\huge\bf \: Solution:—}[/tex]
[tex] \boxed{\bf \: Distribute:—}[/tex]
[tex]\sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} y + \dfrac{5}{7} \: x[/tex]
[tex]\sf \longmapsto \dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]
[tex] \boxed{\bf \: Combining \: Like \: Terms:—}[/tex]
[tex]\sf \longmapsto\dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]
[tex]\sf \longmapsto \bigg(\dfrac{6}{7} x + \dfrac{5}{7} x \bigg) \: + \bigg( \dfrac{ - 2}{5} y + \dfrac{5}{7} \: y \bigg)[/tex]
[tex]\sf \longmapsto \: \dfrac{11}{7} x \: + \dfrac{11}{35} y[/tex]
[tex]\boxed{\bf \: Answer:—}[/tex]
[tex] \boxed{\bf \: \dfrac{11}{7} x \: + \dfrac{11}{35} y}[/tex]
Which type of data would be best displayed in a box plot?
the number of inches of snow received each year by a ski resort
the portion of the drama clubs budget needed for each type of expense
the number of heads and tails that came up in 100 coin flips
the number of votes received by each of four candidates
Answer:
the portion of the drama clubs budget needed for each type of expense
Step-by-step explanation:
the number of inches of snow received each year by a ski resort
- you should use line graph to see data changing in consistent time period
the portion of the drama clubs budget needed for each type of expense
- you can use box plot to see the box plot to show median and q1 q3 of the expenses.
the number of heads and tails that came up in 100 coin flips
- you should use pie chart to see the percentages in entire population
the number of votes received by each of four candidates
- you should use bar graph to compare 4 comparable object.
The portion of the drama clubs budget needed for each type of expense
What is a data set?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row represents a specific record of the data set in question.
a) The number of inches of snow received each year by a ski resort
you should use a line graph to see data changing in the consistent time period
b) The portion of the drama club budget needed for each type of expense
you can use the box plot to see the box plot to show the median and q1 q3 of the expenses.
c) The number of heads and tails that came up in 100 coin flips
you should use a pie chart to see the percentages in the entire population
d) The number of votes received by each of the four candidates
you should use a bar graph to compare 4 comparable objects.
Therefore a portion of the drama club's budget is needed for each type of expense.
To know more about datasets follow
https://brainly.com/question/12402189
#SPJ2
A
B
(7y+9)
If
2yº
04
с
What’s m
Answer:
acute angles A and C are 38°obtuse angles B and D are 142°Step-by-step explanation:
We assume the figure is a parallelogram, so the sum of the marked angles is 180°.
2y +(7y +9) = 180
9y +9 = 180 . . . . . . . simplify
y +1 = 20 . . . . . . . . . divide by 9
y = 19
m∠BCD = 2y° = 38°
m∠ABC = (7y+9)° = (7·19 +9)° = 142°
-2(x+1)= -2+5
How you solve that?
[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]
Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2
33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?
A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour
Answer:
Step-by-step explanation:
Jeremy
Pay = 800
Time = 40 hours
Per hour pay= 800/40 = 20 dollars per hour.
Beth
Pay = 700
Time = 30 hours
Per hour Pay= 700 / 30 = 23.33
The answer is C. She gets 23.33 which is 3.33 more than her brother makes.
Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.
Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry
Mark brainliest pls and also look at picture if u don't understand
Step-by-step explanation:
Yw :) :D
Stop looking up answers on brainly
What is the distance between (5,2) and (0, -2)
Step-by-step explanation:
the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.
and so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41
so, the distance is sqrt(41) = 6.403124237...
tell me, what is 24 x 0.25?
Answer:
it is 6.
Step-by-step explanation:
Create your own example for each cases of multiplying
polynomials With complete solution
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
in simplest form is _______.
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
If y = 6, what is the value of x given 8x + 5y = 62?
Answer:
Answer:
2sqearhahah joke bye hahah
the answer: y = 6 ⇔ x = 4
ok done. Thank to me :>
17. Solve for x: 3xyz = P (MAFS.912. A-
CED.1.4)
a. x = P-3-y-z
b. x = P - 3yz
P
C. X =
3yz
a
d. x = P + y + 3 + z
3xyz = P
xyz = P/3
xy = P/3z
x = P/3yz
Answer is not there in the options.....but it's correct.
____
Hope it helps ⚜
A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for the population to grow to 700 organisms?
Answer:
between 1hr 30 and 1hr 45
Step-by-step explanation:
10*2=20 15
20*2=40 30
40*2=80 45
80*2=160 60
160*2=320 1hr 15
320*2=640 1hr 30
In 90 minutes the population to grow to 700 organisms.
Given that,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
We have to determine,
How long would it take for the population to grow to 700 organisms?
According to the question,
A strand of bacteria has a doubling time of 15 minutes.
If the population starts with 10 organisms.
In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.
[tex]\rm = 10 \times 2 = 20 \ bacteria[/tex]
In 15 minutes 20 bacteria for the population to grow.
In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.
[tex]\rm = 20 \times 2 = 40 \ bacteria[/tex]
In 30 minutes 40 bacteria for the population to grow.
In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.
[tex]\rm = 40 \times 2 = 80 \ bacteria[/tex]
In 45 minutes 80 bacteria for the population to grow.
In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.
[tex]\rm = 80 \times 2 = 160 \ bacteria[/tex]
In 60 minutes 160 bacteria for the population to grow.
In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.
[tex]\rm = 160 \times 2 = 320 \ bacteria[/tex]
In 75 minutes 320 bacteria for the population to grow.
In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.
[tex]\rm = 320 \times 2 = 640 \ bacteria[/tex]
In 90 minutes 640 bacteria for the population to grow.
In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.
[tex]\rm = 640 \times 2 = 1280 \ bacteria[/tex]
In 120 minutes 1280 bacteria for the population to grow.
Hence, In 90 minutes the population to grow to 700 organisms.
For more details refer to the link given below.
https://brainly.com/question/3188472
Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1
Answer:
12-3×3-2
12-6-2
12-11
1
the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base
Your friend says that the equations y - 9 = -5(x + 2) and y = -5x – 19 represent two different lines. Is your friend correct? Explain.
Answer:
Step-by-step explanation:
The second equation is y = -5x - 19
The first equation needs a little work
y - 9 = -5(x + 2) Remove the brackets
y - 9 = -5x - 10 Add 9 to both sides.
y = -5x -10 + 9 Combine
y = - 5x - 1
There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.
I am confused, can someone help me
Answer:
bc=10
Step-by-step explanation:
12/bc=18/(33-18)
12/bc=18/15
18bc=12*15
18bc=180
bc=180/18
bc=10
PLEASE HELP!!! Find the Least Common Multiple of these two monomials:
12a^4b^2c^5 and 40a^3b^7c^1
Answer:
The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1
Step-by-step explanation:
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
What is the volume of a cylinder with a height of 13 and radius 6?
1470.27
v = pi r^2 (H)
v = 3.14 (6^2) (13)
v = 3.14 (36) (13)
v = 1470.27 (about)
Answer:
V = 1470
Step-by-step explanation:
V = πr²h
V = (3.14)(6²)(13)
V = (3.14)(36)(13)
V = 1469.52
The width of a rectangle is represented by 5 1 2y.
The length is twice as long as the width. What is the
perimeter of the rectangle?
Answer:
33y
Step-by-step explanation:
since the equation of perimeter for a rectangle is lengthX2 + widthX2
and the width is given to be 5 1/2y is it? If it is so then the length will be 11y since 2X5 1/2y is 11y
and the perimeter will then be calculated as so;
11yX2 + 5 1/2yX2
so it will be 22y+11y which will give you 33y
A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.
Answer:
Average total cost per class is 13.5
Step-by-step explanation:
A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.
Yearly charge = 150 $
Charge per class = 12 $
A studio member takes 100 classes per year
Number of class attended by studio member = 100
We need to find average total cost per class for this member for a year.
Total charge = Yearly charge + Number of class attended x Charge per class
Total charge = 150 + 100 x 12
Total charge = 150 + 1200
Total charge = 1350 $
\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}
Average total cost per class =
Number of class attended by studio member
Total charge
Average total cost per class =
100
1350
=13.5$
Average total cost per class = 13.5 $
Study hard
Brainliest please thank you!
Answer:
1,530
Step-by-step explanation:
Total charge = 180 + 75 x 18
Total charge = 150 + 1,350
Total charge = 1,530 $
I do not know how to do this
I have 17 ones, 15 tens, and 7 thousands
Answer:
You have 7,167
Step-by-step explanation:
If this was to be converted into a whole number, it would be:
7,167
Suppose that 26% of people own cats. If you pick two people at random
Answer:13 percent would have cats and the other 13 percent wouldn’t
Step-by-step explanation:plz mark for brainlist
Thank you
What are the consecutive numbers that follow the number 686
Answer:
687, 688, 689, 690, ...
Step-by-step explanation:
Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...
687, 688, 689, 690, ...
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 13.9
Step-by-step explanation:
15cos(22) = 13.9
Answer:
x = 13.9
Step-by-step explanation:
For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
cos 22° = adj/hyp
cos 22° = x/15
x = 15 × cos 22°
x = 13.9
Answer: x = 13.9
Need help asap! Pls
Answer:
Step-by-step explanation:
The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)
130 + (3x + 5) = 180
3x + 5 = 50
3x = 45
x = 15
For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.