Answers
Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Answer:
y=3x-180
Step-by-step explanation:
Above working is my step by step solution. Thank you.
Related Questions
A number of baskets a company produces each day is shown in the table.
Answers
Answer:
a) Number of Days × 45 = Total of Blankets
b) 16425
Step-by-step explanation:
a) its the number of days (1, 2 ,3 so on) times 45 = number of blankets
b) 365×45 = 16425
negative3.5 degree F, 5 degree F, 1.5 degree F, negative 0.5 degree F, negative 2 degree F, 2.5 degree F, negative 4 degree F. Part 1: Weather Analysis Plot and label the temperatures on a number line. You can create the number line by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Answers
How do you call a function that have a power higher than 1?
Answers
please help me find the answer or at least give me the formula
Answers
Answer:
[tex]2\sqrt{2x}[/tex] or [tex]8x^2[/tex]
Step-by-step explanation:
first you find the distance between P and O which is 4n (use the distance formula -- [tex]\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}[/tex])
then find the distance between O and Q also using the distance formula; it gives you 4n
then find the hypotunuse by using the pythagorean theorem, [tex]a^2+b^2=c^2[/tex] which would be [tex]4n^2+4n^2=hypotenuse[/tex] and when you simplify it, you get [tex]8x^2[/tex] and if you need it in radical form, it would be [tex]2\sqrt{2x}[/tex]
Answer:
[tex]Hypotenuse = 4n \sqrt{2} [/tex]
Step-by-step explanation:
Catethus1=4n
Catethus2=4n
Hypotenuse=?
[tex]Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2} [/tex]
Proof that the formula Fn = Fn-1 + Fn-2 works
Fibonacci python
Answers
IV. The sum of the first n Fibonacci numbers with even indices is
f2 + f4 + ... + f2n = f2n+1 - 1.
Proof:
From II,
f1 + f2 + f3 + ... + f2n = f2n+2 - 1.
When we subtract the result from III, we get the desired result.
Example:
f2 + f4 + f6 + f8 + f10 + f12 = 1 +3 + 8 + 21 +55 +144
= 232
= f13 - 1 .
V. The sum of all (fn+1)/ (fn )
converges to the Golden Ratio.
3/1 + 5/3 + 8/5 + 13/8 .... converges to ) / 2.
Proof that Rn converges to the Golden Ratio:
Let R = lim Rn as n approaches infinity
= lim f n+1 / f n as n approaches infinity
= lim fn + fn-1 /fn as n approaches infinity
= lim (1 + fn-1/ fn) as n approaches infinity
= 1 + lim (fn-1 /fn ) as n approaches infinity
= 1 + 1/ lim (fn-1 /fn ) as n approaches infinity
= 1 + 1/R
So, R = 1 + 1/R,
or R^2 = R + 1,
R^2 - R - 1 = 0,
R = ( ) / 2
= ( ) / 2
Since Rn is positive, Rn = ( ) / 2 .
Thus, Rn converges to the Golden Ratio.
Rewrite 24.5 as a mixed number in lowest terms.
Rewrite 0.85 as a fraction in lowest terms.
Answers
Answer:
49/2, 17/20
Step-by-step explanation:
24.5=245/10=245÷5/10÷5=49/2
0.85=85/100=85÷5/100÷5=17/20
Answer:
Mixed numbers
a) 24 1/2
b) 85/100 = 17/20
Step-by-step explanation:
a) as they asked mixed number we only have to create a fraction for the decimal 0.5 = 1/2 and rewrite 24 1/2 = 24.5
If the question asked for lowest terms 24/5 then 24.5% = 245/1000 = 49/200
b) rewrite 0.85 as a fraction in lowest terms
0.85 = 85% = 85/100 = 17/20
HELPPPPP PLEASE
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 6
x - y = 3
(2, 1)
(-2, -1)
(2, 4)
(2, -1)
Answers
======================================================
Explanation:
Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.
So we have this equivalent system of equations
[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]
We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.
After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.
Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.
4x+2y = 6
4(2)+2y = 6
8+2y = 6
2y = 6-8
2y = -2
y = -2/2
y = -1
or we could say
x-y = 3
2-y = 3
-y = 3-2
-y = 1
y = -1
Either way, we get the same y value.
Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.
If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.
How would you do this?
Answers
hElP mEh
What integer does the arrow indicate?
-9
-14
-3
6
Answers
please help! :( ive been stuck on this for about 30 minutes
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answers
Answer:
dimensions: 4x5x3
volume: 60 cube inches
Step-by-step explanation:
assuming each cube is a one inch cube:
the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3
the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.
Answer:
length = 5 inches
width = 4 inches
height = 3 inches
So dimensions are 5 x 4 x 3 inches
Volume = l · w · h
V = 5 · 4 · 3 = 60 square inches.
Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data?
A. The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
C. All the students surveyed spend exactly 3 hours surfing the Internet.
D. All the students surveyed spend an average of 3 hours surfing the Internet.
Answers
Answer
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
Explanation
The meaning of range is the difference between the largest and smallest numbers in a set.
In this case, it's possible that one of the students spends no time surfing the internet, and another student spends 3 hours. The range of the data would be 3. It's also possible that some students spend 20 hours surfing the internet, and other students spends 23 hours surfing the internet (although, that's obviously unreasonable).
Answer:
B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
Step-by-step explanation:
I'm going to leave this person anonymous, but they have deleted 2 of my answers and I'm sick of it, so please stop deleting my answers I'm not trying to violate brainly's rules in any way, shape, or form.
Please help! I cannot figure this out.
Answers
X=60°
[ACCORDING TO THE PICTURE]
X=120
The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:
A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October
Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)
Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)
Answers
Part A: The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B: A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
What is a Scatter Plot?The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.
If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.
Also, if the farther the data points are to each other along the trendline, the farther is it the correlation coefficient, r, is from 1 or -1. If they are moderately apart,, the correlation coefficient would be somewhere around 0.5/-0.5 and 0.65/-0.65, as the case may be.
Part A:
The correlation coefficient of r = 0.51 is accurate based on the scatter plot given.
Part B:
A scenario that would be a causal relationship can be quantity of fertilizer used vs kg of pumpkins picked on the farm.
Learn more about scatter plot on:
https://brainly.com/question/6592115
How much money would be in an account that starts with $125 and earns 2% interest a year over 3 years
LOOKING FOR A GOOD UNDERSTANDING EXPLAINING PLEASE
Answers
Answer:
132.5d
Step-by-step explanation:
=125*2/100
=250/100
=2.5 money
it gains 2.5 d
after 3 years it will have 7.5d
125+7.5=132.5d
Answer:
132.5d
Step-by-step explanation:
Please help! I don’t quite understand this one.
Answers
Answer:
well i now that but i cant tell its so long to explain
Step-by-step explanation:
sorry
50 points !! Select the correct answer.
Which table represents the increasing linear function with the greatest unit rate?
A.
x y
2 16
5 10
B.
x y
2 14
6 12
C.
x y
2 -24
5 -15
D.
x y
2 -12
6 -16
E.
x y
2 -19
6 -17
Answers
Answer:
C.
x y
2 -24
5 -15
Step-by-step explanation:
We need to find the slope for each table
A.
x y
2 16
5 10
m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2
B.
x y
2 14
6 12
m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2
C.
x y
2 -24
5 -15
m = (y2-y1)/(x2-x1) = (-15--24)/(5-2) = (-15+24)/3 = 3
D.
x y
2 -12
6 -16
m = (y2-y1)/(x2-x1) = (-12--16)/(6-2) = (-12+16)/4 = 1
E.
x y
2 -19
6 -17
m = (y2-y1)/(x2-x1) = (-17--19)/(6-2) = (-17+19)/4 = 1
The greatest unit rate is the largest slope
HELP PLEASE!!! i will give brainly! +10 points
Suppose each cube in this right rectangular prism is a -inch unit cube.
What are the dimensions of the prism?
What is the volume of the prism?
Answers
Answer:
1 number 1
Step-by-step explanation:
1 because of 1 of 1
Answer:
1000 hope its right
Step-by-step explanation:
8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Which of the following expressions are equivalent to -\dfrac{2}{-13}−
−13
2
minus, start fraction, 2, divided by, minus, 13, end fraction?
Answers
Answer:
Step-by-step explanation:
We are given:
2
- ----------
-13
Since a negative number (-2) divided by another negative number results in a positive number,
2
----------
13
Both Answers A and B are correct; the final value in each case is +2/13.
The equivalent expression will be (-2)/(-13) and-(-2/13) so option (A) and option (B) both will be correct.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.
The denominator of a fraction is the numerical value that comes before the brings together various.
If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator. For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given that[tex]-\dfrac{2}{-13}[/tex] now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13
If you take both options A and B in both options the negative sign going to cancel and it will give a positive value.
Hence "The equivalent expression will be (-2)/(-13) and-(-2/13)".
For more about numerators and denominators https://brainly.com/question/19613319
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y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5
Answers
Answer:
3.84
Step-by-step explanation:
Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,
[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]
Let k be the constant . Therefore ,
[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]
When y = 1.5 and x = 8 :-
Plug in the respective values ,[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]
When x = 5 :-
[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]
Answer: 3.84
hope it helped!
The graph of a function is shown:
A coordinate grid is shown from negative 5 to 5 on both axes at increments of 1. A graph shows three straight lines. The first straight line joins ordered pair negative 3, negative 2 with negative 2, 2. The second straight line joins ordered pair negative 2, 2 with 2, 2. The third straight line joins ordered pair 2, 2 with 4, 0. The ordered pair negative 3, negative 2 is labeled as A, the ordered pair negative 2, 2 is labeled as B, the ordered pair 0, 2 is labeled as C, the ordered pair 2, 2 is labeled as D, and the ordered pair 4, 0 is labeled as E.
In which part of the graph is the function increasing? (5 points)
AB
BC
CD
DE
Answers
Answer is AB
The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labeled J?
The car continues its journey because the portion shows a linear function.
The car is waiting at the starting point because the portion shows a constant function.
The car is traveling the same distance per unit of time because the portion shows a linear function away from the starting point.
The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.
Answers
Step-by-step explanation:
The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.
I can confirm the one above me is the right answer
Step-by-step explanation:
CUZ I SAIDD
From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?
Answers
Answer is in the picture
The amount of money received by him will be $15.60.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The amount will be calculated as follows:-
The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)
Now 16 ounces make a pound so divide by 16 we get:-
(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15
Dividing 15 by 3 we get 5 packs of 3 patties for $3.12
So amount = 3.12 x 5 = $15.60
Therefore the amount of money received by him will be $15.60.
To know more about Expression follow
https://brainly.com/question/723406
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A bag contains 3 red marbles, 5 blue marbles, and 4 black marbles. Jenna draws a black marble and does not replace it. What is the probability of drawing a black marble next?
A. 1/3
B. 1/4
C. 3/11
D. 4/11
Answers
Answer:
c: 3/11
Step-by-step explanation:
the first one is 4/12 which is 4 black and 12 total. the next one is 3/11 because there's 3 blacks and 11 total
Answer:
c
Step-by-step explanation:
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure PQRS has P at ordered pair 1, 2, Q at 2,1, R at 3,2, S at 3,3.
Figure P prime Q prime R prime S prime has P prime at ordered pair 1,negative 2, Q prime at 2,negative 1, R prime at 3,negative 2 and S prime at 3,negative 3.
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection about the y-axis
Answers
Answer:
Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis
Step-by-step explanation:
Hello! Please help ASAP!!!
Turn this problem into a Pythagorean Theorem diagram
Aleena’s car is 7 miles north from Starbucks. Aryona’s car is located 4 miles west from Aleena. How far is Aryona from the Starbucks.
Answers
Alicia rented a car for a total of $380 for 2 1/2 days. what was the cost of the car per day?
A. $56/ day
B. $66/ day
C. $ 152/ day
D. $86/ day
Answers
Answer:
C. $152/day
Step-by-step explanation:
To find the cost per day, we have to divide the total cost by the number of days:
380/2.5 = 152
Note: 2 1/2 = 2.5
You divide 380 by 2.50
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
How much space is inside the steps?
Give an exact answer (do not round).
Give correct answer and I will give you brainlist
Answers
Answer:
0.045 m^3
Step-by-step explanation:
0.2 m x 0.15 m x 0.5 m = 0.015 m^3
0.2 m x 0.3 m x 0.5 m = 0.03 m^3
0.045 m^3
simplify
(x^a)^b-c×(x^b)^c-a×(x^c)^a-b
step by step...
Answers
Answer:
= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a
Or
= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)
Answer:
[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]
[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]
-------------------------
Hope it helps...
Have a great day!!
The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answers
Answer:
900 minutes
To get explanation go here:
https://brainly.com/question/14424494
plz help me with the attcahment below
Answers
Step-by-step explanation:
...............MaRk As BrAiNeSt
Answer:
cos theta = BC/AC
Step-by-step explanation:
The cosine function is the ratio of the length of the adjacent side of one of the angles of a triangle to the length of the hypotenuse:
cos theta = BC/AC