Answers
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
[tex]\frac{x+23}{x+41} = 0.5[/tex]
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
[tex]x+23=0.5(x+41)[/tex]
Now we multiply out the brackets and move the terms to different sides:
[tex]x+23=0.5x+20.5[/tex]
[tex]0.5x = -2.5[/tex]
[tex]x = -5[/tex]
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Related Questions
Please help. It’s due tonight, will give brainlist
Answers
slope: 4 (if y intercept is 0)
The graph of linear function g passes through the points (3, 7) and (9, 3).
Which statement must be true?
A. The graph of g passes through the point (6,-2)
B. The zero of g is -6
C. The slope of the graph is -2/3
D. The x-intercept of the graph of g is 6
Answers
Answer:
c
Step-by-step explanation:
The slope of the graph is -2/3 is true.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁.
The graph of linear function g passes through the points (3, 7) and (9, 3).
We need to find which statement is true from options.
Slope=3-7/9-3
=-4/6
=-2/3
The slope intercept form 7=-2/3(3)+b
7=-6/3+b
7=-2+b
b=9
Hence, the slope of the graph is -2/3 is true.
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Help please thank you.
Answers
Answer:
h=a/b and the sencond one is 5ft
Step-by-step explanation:
1. isolate the varibles by dividing each side by factors that dont conatin the varible.
2. do 45 divied by 9.
HELP MEEEEE!!! I HAVE AN F
Answers
Answer:
B is your answer!
Step-by-step explanation:
Hope I helped:)
In 1968 it cost $54 000 for a 30-second commercial during the super bowl. In 1973, the cost for a 30-second commercial was $88,000. What is the percent increase, rounded to the nearest whole number, in the cost for a 30-second commercial from 1968 to 1973?
Answers
Answer:
63 %
Step-by-step explanation:
Percentage change in value value for any number is given by
percentage change = (new value - old value) /old value * 100
we can also write it as
percentage change = (change in value ) /old value * 100
________________________________________
cost of commercial in 1968 = $54000
cost of commercial in 1973 = $88000
change in cost of commercial = cost of commercial in 1973 - cost of commercial in 1973 = $(88000-54000) = $34000
thus,
percentage change in cost of commercial
= change in cost of commercial/cost of commercial in 1968 * 100
= 34000/54000*100 = 62.96 %
Thus, percentage change in cost of commercial is 62.96 %
we have to round it to nearest whole number
rounded value of 62.96 is 63
in that case
percentage change in cost of commercial is 63 %
find the midpoint of the segment with the following endpoints. (6, 3) and (0, 9)
Answers
Answer:
(3,6)
Step-by-step explanation:
In order to find midpoint you need to add x1 + x2 then divide by 2. Then the same for y. y1 + y2 then divide by two.
In this case we have 6 + 0 = 6 then divide by 2 which is 3.
Then we have 3 + 9 = 12 then divide by 2 which is 6.
x+3=12
show steps
thx
Answers
Answer:
are u serious this is the most easiest question ive ever answered but the answer is 9 because u can minus 12-3 and get 9 so x=9
Step-by-step explanation:
Complete the statements using the drop-down menus. The line perpendicular to the y-axis through the point (–4, –2) is . The slope of this line is .
Answers
Answer:
Y=-2, 0
Step-by-step explanation:
EDG 2020
Answer:
1. y= -2
2. 0
Step-by-step explanation:
Correct on Edg 2020
which of the following phrases are equations
Answers
f(x)=800x+6 (rate of change)
Answers
Answer:
800
Step-by-step explanation:
The slope is the co-efficient of x. The y-intercept is the constant. Hope this helps!
FInd the GCF of the numbers using prime factorizations.
24,90
52,68
32,56,96
Also find the GCF of 28,48, 64
Answers
Answer:
GCF(330, 75, 450, 225) = 15
Steps:
Prime factorization of the numbers:
330 = 2 × 3 × 5 × 11
75 = 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
GCF(330, 75, 450, 225)
= 3 × 5
= 15
Sean's grade breakdown goes something like this
60%- Test
20%- Homework
10%- Organization
10%- ALEKS (math website)
He got 85% on his test. Out of the 9 homework problems he has 100% on all of them. Then for the organization, it's 97% out of the 10% it makes up. He also has a 96 on ALEKS which makes up 10% out of the whole grade. What is his current grade percentage?
Answers
Answer:
90.3
Step-by-step explanation:
.6×.85=.51
.2×1.00=.2
.1×.97=.097
.1×.96=.096
weight in %, times, grade in %
then add them up
.51 + .2 + .097 + .096 = .903
.903=90.3%
Do rozwiązania są następujące zadania tekstowe:
Luca ma kilka 10-centówek oraz kilka 5-centówek. Razem ma 40 monet, o wartości
3.15 Euro. Ile monet każdego rodzaju ma Luca?
Answers
d = liczba monet 10-centowych
p = liczba monet 5-centowych
Razem, Luca ma 40 monet:
d + p = 40
Jedna 10-centowa moneta ma wartość 10 centów, i jedna 5-centowa ma wartość 5 centów, więc
10d + 5p = 315
bo 3,15 euro = 315 centów.
Znajdź d i p :
(10d + 5p) - 5(d + p) = 315 - 5•40
5d = 115
d = 23
d + p = 40
23 + p = 40
p = 17
Which linear inequality is represented by the graph?
Is this right?
Answers
Answer:
y ≤ [tex]\frac{1}{2} x + 2[/tex]
Step-by-step explanation:
≤ because the area below the line is shaded.
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.If p represents the price of one game, which equation represents the situation?
Answers
Hi!
Your answer would be: 194.99 ÷ 284.97 = P
Hope this helps!
150+25x=55x what is the answer?
Answers
Answer:
x = 5
Step-by-step explanation:
150+25x= 55x
-25x -25x
150= 30x
150/30 = 30x/30
x = 5
Hope this helps!
Answer: x =5
Steps: 150 + 25x = 55x
Subtract 150 from both sides: 150 + 25x - 150 = 55x - 150
Simplify: 25x = 55x - 150
Subtract 55x from both sides: 25x - 55x = 55x - 150 - 55x
Simplify: -30x = -150
Divide both sides by -30: -30x ÷ -30 = -150 ÷ -30
Simplify: x = 5
Plz mark brainliest:)
What is the solution to the equation –5w + 3 = 4w – 6?
Answers
Answer:
-2=2
Step-by-step explanation:
Answer:
w = 3
Step-by-step explanation:
-5w + 3 = 4w - 6
were going to get the variable and the numbers on different sides
-5w + 3 - 3 = -5w
4w - 6 - 4w = -6
-5w + 4w = -1w or -w
-6 + 3 = -3
-w = -3
and since there're both negatives you can just take that away and you get
w = 3
X2+ 5x -24=(x – 3) (x + m)
Answers
Answer:
m = 8
Step-by-step explanation:
put -24 into the equation so : [tex]x^{2} +5x -24[/tex] find two numbers that : times to make -24, and add to make 5those two numbers are 8 and -3 (since 8-3=5 and 8*-3=-24)put those into double brackets: (x-3)(x+8)(x-3)(x+8) = (x-3)(x+m)+8 goes into where m ism = 8I DON'T KNOW HOW TO DO THIS!!
Answers
Answer:
m = 10
Step-by-step explanation:
what is the approximate value of x?
Answers
Answer: 17 would be the approximate value of x.
Step-by-step explanation: 4 is the √16, so the value plotted on the number line, 4.1 represents the square root of a slightly larger number than 16.
What is the equation of this line?
y= 2x - 3
y= 3x - 2
y= 1/3x - 2
y= 1/2x - 3
Answers
Answer:
y= 3x - 2
Step-by-step explanation:
The line passes through (0, -2). '-2' is the y-intercept.
The line passes through the points (2,4) and (1,1).
[tex]m=\frac{rise}{run}=\frac{1-4}{1-2}=\frac{-3}{-1}=3[/tex]
The equation should be y= 3x - 2.
Hope this helps.
identify the range of the function shown in the graph
Answers
Answer:
i think its D. i dont think im right. hope this helps:) pls add me as brainliest
Step-by-step explanation:
Part B: What are three possible combinations of “That’s My Jam” and “Cherry Garcia” containers Mahagony might have purchased?
Answers
explanation: ان عدة الشهور عند الله اثنا عشر شهرا في كتاب الله يوم خلق السماوات والارض منها اربعة حرم ذلك الدين القيم فلاتظلموا فيهن انفسكم وقاتلوا المشركين كافة كما يقاتلونكم كافة واعلموا ان الله مع المتقين
ان عدة الشهور عند الله اثنا عشر شهرا في كتاب الله يوم خلق السماوات والارض منها اربعة حرم ذلك الدين القيم فلاتظلموا فيهن انفسكم وقاتلوا المشركين كافة كما يقاتلونكم كافة واعلموا ان الله مع المتقين
Answer:
Answer: The number of months for God is twelve months in the Book of God, on the Day of Creation of the Heavens and the Earth, four of which were forbidden by this valuable religion, so do not oppress yourselves in them and fight all the polytheists as they all fight you, and know that God is with the pious
Explanation: The number of months for God is twelve months in the Book of God on the Day of Creation of the Heavens and the Earth. Four of them have forbidden this valuable religion, so do not oppress yourselves in them, and fight all the polytheists as they fight all of you, and know that God is with the righteous
The number of months for God is twelve months in the Book of God on the Day of Creation of the Heavens and the Earth, out of which are four He forbade this valuable religion, so do not oppress yourselves in them, and fight all the polytheists as they all fight you, and know that
Step-by-step explanation:
Robert has a dog that weights 4 times as much as fiona’s dog. The total weight of the dogs is 75 pounds. How much does fiona’s dog weigh
Answers
Explanation you divide 75 by 4
Chloe wants to start saving for a summer trip. She already has $75 saved in the bank and she deposits $25 per week into her savings account. Write an equation that represents the relationship between the total dollar amount, T, in her bank account and the number of weeks of saving, w.
Answers
Answer:
t=25w+75
Step-by-step explanation:
-3x + 2c = -3, solve for x
Answers
Answer:
x=2c/3+1
Step-by-step explanation:
Subtract 2c from both sides.
−3x=−3−2c
The equation is in standard form.
−3x=−2c−3
Divide both sides by −3.
-3x/-3=-2c-3/-3
Dividing by −3 undoes the multiplication by −3.
x=-2c-3/-3
Divide −3−2c by −3.
x=2c/3+1
What is nine plus ten? If you get it right I’ll give you brainliest
Answers
Answer:
19
Step-by-step explanation:
ok is this just a joke?
nine plus ten
9 + 10 = 19
How long is this line segment?
Answers
A grocer reports that the store has sold 72 of the 90 boxes of apples delivered this week. What percentage of the delivered apples have been sold?
Answers
Answer:
80%
Step-by-step explanation:
Total boxes of apples delivered = 90
Total boxes sold = 72
What percentage of the delivered apples have been sold?
Percentage sold = Total boxes sold / total boxes delivered × 100
= 72 / 90 × 100
= 0.8 × 100
= 80%
The percentage of the delivered apples have been sold is 80%
Percentage unsold = (total boxes delivered - total boxes sold) / total boxes delivered × 100
= (90 - 72) / 90 × 100
= 18 / 90 × 100
= 0.2 × 100
= 20%
The percentage of the delivered apples have been sold is 80% and this can be determined by using the unitary method.
Given :
A grocer reports that the store has sold 72 of the 90 boxes of apples delivered this week.
The following steps can be used in order to determine the percentage of the delivered apples that have been sold:
Step 1 - The unitary method can be used in order to determine the percentage of the delivered apples that have been sold.
Step 2 - According to the given data, 90 boxes are 100% boxes of apples.
Step 3 - Now, let the percentage of the delivered apples that have been sold be 'x'. So, the value of 'x' is:
[tex]x = \dfrac{72}{90}\times 100[/tex]
Step 4 - Simplify the above expression.
[tex]x = 80\%[/tex]
Therefore, the percentage of the delivered apples have been sold is 80%.
For more information, refer to the link given below:
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Bob is thinking about leasing a car with a MSRP of $24,000 for three years. After three years, the leasing company expects the car to have a value of 72% of its original MSRP. What will the residual value of the car be after three years?
a.
$3,000
b.
$6,000
c.
$17,280
d.
$33,333
Answers
Answer:C. 17,280
Step-by-step explanation:It this way because it cant be 3k obv or 6k. And it says 72% down not up so not d either :D
he residual value of the car be after three year is mathematically given as
R=17280
Option C
Residual value of the carQuestion Parameters:
A car with a MSRP of $24,000 for three years.
After three years, the leasing company expects the car to have a value of 72%
Generally the equation for the residual value is mathematically given as
R=percentage of drop *original price
R=0.72*24000
R=17280
Therefore, the residual value of the car be after three years is R=17280
Option C
For more information on Arithmetic
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