For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)
Answers
Answer: x = 22
Step-by-step explanation:
Compare the 2 triangles
[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]
Cross multiply
(2x-8) (x+8) = 45 x 24
2x^2 + 16x - 8x - 64 = 1080
2x^2 + 8x - 64 - 1080 = 0
2x^2 + 8x - 1144 = 0 ---> divide by 2
x^2 + 4x - 572 = 0
(sum and product)
x^2 - 22x + 26x - 572 = 0
x(x - 22) + 26(x - 22) = 0
(x + 26) (x - 22) = 0
x + 26 = 0
x = -26
x - 22 = 0
x = 22
Related Questions
victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the desire height ?
Answers
Answer:
40
Step-by-step explanation:
1. Change 48 cm to mm, which will give you 480 mm
2. Divide 480 mm by 12 mm, that will give you 40
Therefore, Victor needs 40 books to make his desired height.
use a double angle formula to rewrite the expression. 16sin (x) cos (x)
Answers
Answer:
8sin(2x).
Step-by-step explanation:
2sin(x)cos(x) = sin(2x)
So 16sin(x)cos(x)
= 8* 2sin(x)cos(x)
= 8sin(2x).
your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.
PLEASE HURRY!!
Answers
Answer:
Yes
Step-by-step explanation:
1 yard is 3 feet. so 12 yards is 36 by 12*3
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Answers
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
To learn more about system of equations, you can take a look at https://brainly.com/question/24823220
U= 1 A solution to the inequality below??
10>u
Answers
Answer:
Yes
Step-by-step explanation:
10>1
Solve and graph the solution.
|4x-13| = 5x+4
Answers
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
Complete the multiplication problem to find the answer.
Answers
Answer:
A
Step-by-step explanation:
Answer:
a) 39.71
Step-by-step explanation:
Simplify to create an equivalent expression
-5(3p+3) + 9(-7+p)
The answers are:
A)-5p-78
B)-6p-78
C)-6p-48
D)-6p+78
Answers
can someone please help me fill in the answer in the bottom.
Answers
Answer:
Step-by-step explanation:
1) Initial water level = 30 feet
2) Rate of change = (30 - 25) / (0 - 1) = 5/(-1) = -5
5ft per hour
3) y-intercept = 30
help on this question.....
Answers
Answer:
25
Step-by-step explanation:
17 / 0.68 = 25
check your answer?
25 * 0.68 = 17
:)
Answer:
the answer is 26
Step-by-step explanation:
factor the expression using the gcf 2t-10
Answers
So, 2(t-5).
find the missing number so that the equation has no solutions ?x-4=4x-11
Answers
Answer:1
Step-by-step explanation:I took the test
A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number
Answers
set up an equation:
2(x+20) = 5x - 2
Simplify:
2x +40 = 5x - 2
Add 2 to both sides:
2x + 42 = 5x
Subtract 2x from both sides:
42 = 3x
Divide both sides by 3:
x = 42/3 = 14
The number is 14
Answer:
The answer is 14
Step-by-step explanation:
For brainily please help
Answers
A triangle = 180
So all three sides have to add up to 180.
If one side is 12 And the other is 20 you add that makes 32.
12 + 20 = 32
Now we need to find the length of the other side. 32 is two of the sides and 180 is the whole. So something + 32 = 180
32 + x = 180
To find x you subtract 32 from 180
180 - 32 = 148
Hope this helps
1 1/3 of 15
[tex]\frac{x}{y}[/tex]
Answers
Answer:
[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]
20
explanation:
1 whole of 15=15
1/3 of 15= 15/3=5
15+5=20
the length of a rectangular field three times of it's breath.if the area of the field is 675 m2, find the perimeter
with full solution
Answers
L/W = 3/1 or L = 3*W
A = L*W = (3*W)*W = 3*W^2 = 675 m^2
W^2 = (675 m^2)/3 = 225 m^2
W = sqrt(225 m^2) = 15 m
L = 3*W = 3*(15 m) = 45 m
What is the x intercept of this quadratic/parabola?
Answers
Answer:
-3, 1
Step-by-step explanation:
There are actually 2 x-intercepts of the parabola. You can find them simply by looking along the x-axis and seeing where the lines of the parabola touch the axis, so -3 and 1.
Hope this helps :)
Answer:
1 and -3
Step-by-step explanation:
At x-intercept y = 0
So, parabola intersect x-axis at two places (1 , 0) and (-3 , 0)
X-intercepts are 1 and -3
Joe drove 315 Thousand five hours at the same rate how many miles do you drive in 7 hours?
Answers
Answer:
441 miles
Step-by-step explanation:
1st find rate from the given
D = RT
315 = 5R
63 = R miles/hour so,
then find distance for 7 hours
D = RT
D = 63 * 7
D = 441
Answer:
Item 3. 4 3/8
Item 4. 4/9
Item 5. 4/3
Item 6. 1/8
Item 7. 0.8
Item 8. 5.20 or 5.2 (You can choose which to put)
Item 9. 1 7/8
Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000
Step-by-step explanation:
Need help ASAP please <3
the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks
The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?
A) 1
B) 3
C) 6
D) 10
Answers
The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
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If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
Answers
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Please refer to the attached picture for the answers with steps included.
NOTE :-
The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).__________________
Hope it'll help you!
ℓu¢αzz ッ
Simplify 2x2 + 3x2 + 3x
Answers
Answer:
10+3x
Step-by-step explanation:
2(2) = 4
3(2) = 6
4+6 = 10
10+3x
Answer:
Step-by-step explanation:
[tex]\sf 19=7x-2x[/tex]
Answers
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]plz help with this question ill mark u brainlist
Answers
You should find the area under the curve. Which will give you multiple shapes. That are 3 triangles and one rectangle. Then use the Rule of the area of the triangle which is 1/2 × base × height then lastly. When you find the area for each shape you then find the sum of all the distance to give you the full area under the curve.
What letter comes after f
Answers
Answer:
g.....
Step-by-step explanation:
g.....
the letter is g
The letter g comes after the letter f.
What are Alphabets?An alphabet is a set of graphs or characters used to represent the phonemic structure of a language
The english alphabets are 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 and z.
The alphabets help to form the basis of our language and communication for a lifetime.
There are twenty six letters in the english alphabets.
As we see the order of alphabets.
The letter g is next to the letter f.
They help to form the basis of our language and communication for a lifetime.
Hence, the letter g comes after the letter f.
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Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
Answers
Answer:
Step-by-step explanation:
the probability distribution of all possible values of the sample proportion is the
Answers
Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
Answers
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
Learn more here:
https://brainly.com/question/8553720
Find the value of x within the triangle
Answers
Answer:
68.46
Step-by-step explanation:
In order to find the angle, we can use the cosine rule:
c²=a²+b²-2abCos(c)
And rearrange for Cos(c)
(please note that c in this case is x)
So,
x=Cos^(-1) (a²+b²-c²)/2ab
By substituting the values, we get x=Cos^(-1)(4²+4²-4.5^2)/2(4)(4)
=68.46
I need to factor this problem PLEASE HELP ASAP
Answers
Answer:
[tex] - 3x(x - 3)^{2} [/tex]
Step-by-step explanation:
[tex] - 3x^{3} + 18x - 27x[/tex]
->
[tex] - 3x( {x}^{2} - 6x + 9)[/tex]
->
[tex] - 3x(x - 3)^{2} [/tex]
Multiply. 3 1/3 1 3/4 Express your answer in simplest form. 5 5/12 5 5/6 6 5/6 6 5/12
Answers
Answer:
[tex]5\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]
[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]
[tex]\frac{10*7}{3*4}[/tex]
[tex]\frac{70}{12}[/tex]
First you can divide both sides by 2
[tex]\frac{70}{12}=\frac{35}{6}[/tex]
Now make it as a mix number
[tex]\frac{35}{6} =5\frac{5}{6}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)