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
What should be done first to evaluate the expression?9 - 4 ÷ 5 + 3 × 6
Answers
ANSWER:
24
STEP- BY-STEP-EXPLANATION:
•Group into bodmas
•9-4=5(5+3×6)
5÷5+3×6
1+3×6
4×6=24
options of Answer
A) 10 bags of chips and 2 jars of salsa
B) 20 bags of chips and 2 jars of salsa
C) 14 bags of chips and 5 jars of salsa
D) 18 bags of chips and 6 jars of salsa
Answers
Answer:
D) 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]
[tex]25+8[/tex] ≤[tex]60[/tex]
[tex]33[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]
[tex]50+8[/tex]≤[tex]60[/tex]
[tex]58[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]
[tex]35+20[/tex]≤[tex]60[/tex]
[tex]55[/tex]≤[tex]60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]
[tex]45+24[/tex]≤[tex]60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
What is the answer for x?
Answers
Answer:
x = -5/7
Step-by-step explanation:
someone assist me please thank you
Answers
Answer:
I am pretty sure thats acute triangle but not 100%
3/4 x 28= 1/3 of y state y? Please im in a hurry
Answers
PLEASE HELP!!
Identify the type of transformation to triangle ABC.
Glide
reflection
Reflection
Rotation
Translation
Answers
Answer:
Step-by-step explanation:
A-Reflection
B-Translation
C-Rotation
D- Glide Reflection
what is 4 8/17 as an improper fraction
Answers
Answer:
76/17
Step-by-step explanation:
Multiply the whole number by the denominator
4 × 17 = 68
Add the product from Step 1 to the numerator
68 + 8 = 76
Write answer from Step 2 over the denominator
76/17
Where did we get one?
Answers
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
jacket is on sale at 15% off the original price of $68. based on this sale how much money will he save
Answers
Answer: He will save $57.80
Step-by-step explanation: Sale Price = $57.8. This means the cost of the item to you is $57.8. You will pay $57.8 for an item with original price of $68 when discounted 15%. In this example, if you buy an item at $68 with 15% discount, you will pay 68 - 10.2 = 57.8 dollars.
A copy machine makes 32 copies per minute how long does it take to make 152 copies?
Answers
Answer:
It should take about 4.75 min.
Step-by-step explanation:
Hope this helps and could you mark me as the brainliest
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
Answers
2 x 3 x 7 = 42
Answer:
42 = 2*3*7
Step-by-step explanation:
42 can be rewritten as 2*21, for example.
2 is prime. 21 = 3*7.
Then 42 = 2 * 21 is also equal to:
42 = 2*3*7. where these factors are ordered from least to greatest. The prime factors of 42 are {2, 3, 7}.
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answers
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
Express the interval shown on the number line in inequality notation.
G
T-
10 12
-12
-6
6
-10
8
-8
-2 0
24
-4
A
U
>>
Al
00
IA
00
or
D.
[]
(,) || ()
I
Inequality Notation:
Answers
Answer:
Umm Where's The Answer?
, Nicole played basketball and went swimming before dinner. She spent 1 hour and 30 minutes playing basketball and 1 hour and 17 minutes swimming. Dinner lasted for 53 minutes. If dinner ended at 6:14 P.M., what time did Nicole start playing basketball?
Answers
Answer2:34 P.M
Step-by-step explanation:
Answer:
2: 34pm
Step-by-step explanation:
6.14 - 53= 5.21pm
5.21 - 1.17= 4.04pm
4.04 - 1.30= 2.34pm
C = 5/9 × (F – 32)
122°F = °C
Answers
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
(a) A color printer prints 21 pages in 10 minutes. How many minutes does it take per page? U minutes per page
Answers
Answer:
10/21
Step-by-step explanation:
Number of minutes required for printing 21 pages: 10
So, number of minutes required for printing 1 page
= 10/21
(= 0.47 = 0.5 [approximately])
Find the value of x.
No links please!
Answers
Answer:
Step-by-step explanation:
tan(26)=42/x hence x=42/tan(26)=86.113
To make green paint, students mixed yellow paint with blue paint. The table below shows how many yellow and blue drops from a dropper several students used to make the same shade of green paint. Complete the table.
Answers
Is 12 × –1 positive or negative? positive negative Submit
Answers
Answer:
it's a negative number. the answer would be
Step-by-step explanation:
-12
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answers
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
5/6x10..........................
Answers
Answer:
Your answer is 8 1/3 or 25/3.
Step-by-step explanation:
Hope this helps!
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?
Answers
Answer:
The slopes of both are m=6
Length of AB=6.082
Length of the image: 3.5 * 6.082 = 21.287
Answer:
Step-by-step explanation:
pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.
Answers
Answer:
Step-by-step explanation:
an (the nth term ) = a1 + d(n - 1)
= 6 + 3(n - 1).
a17 = 6 + 3(17-1)
= 6 + 48
= 54.
Please help!!!!!! :(
Answers
Answer:
Yes, it is linear
3x+y=15
Explanation:
Put the variables on opposite sides so that you have:
[tex]\frac{y}{3}[/tex]=5-x
Multiply by 3 on both sides
y=15-3x
Bring x back to y's side
3x+y=15
All done!
Lesson. Derative of trigonometric functions
Answers
Answer:
Step-by-step explanation:
What are the Derivatives of the 6 Trig Functions?
Derivation of sin x: (sin x)' = cos x.
Derivative of cos x: (cos x)' = -sin x.
Derivative of tan x: (tan x)' = sec2 x.
Derivative of cot x: (cot x)' = -cosec2 x.
Derivative of sec x: (sec x)' = sec x. tan x.
Derivative of cosec x: (cosec x)' = -cosec x. cot x.
What is the value of x that makes this equation true?
(10 raised to the power of 4) = 10 raised to the power of x
Enter only a number as your answer.
Answers
Answer:
pot0tsafgxxgcgcycguchchcui
Select all that apply. To create perpendicular lines, I can transform a line by:
1. Rotating the line 270° around any point.
2. Translating the line horizontally.
3. Rotating the line 45° around any point, then rotating it another 45° around any point.
4. Translating the line vertically.
5. Reflecting the line over itself.
6. Rotating the line 45° around any point.
7. Reflecting the line over any point on the line.
8. Rotating the line 90° around any point.
Answers
Answer:
8. Rotating the line 90° around any point.
Step-by-step explanation:
Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.
how many eighths are in 1/3?
Answers
Answer:
1/3 = 2 2/3 eighths.
Step-by-step explanation:
There are 2(2/3) eights in 1/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eighths = 1/8
Now,
(1/8)x = 1/3
Solve for x.
x = 1/3 x 8/1
x = 8/3
x = 2(2/3)
Thus,
There are 2(2/3) eights in 1/3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is -1/2(-4/5) multiplied then in simplest form?
Answers
Multiply the numerators by each other and do the same for the denominators.
That is:
-1(-4)=4
And 2*5=10
Now we have 4/10
Divide the numerator and the denominator by 2 to get 2/5 which is the simplest form.
Hope this helped.
helpppppppppppppppppppppppppppppppppppppppppppmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeemeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
It is correct because the smallest one is 3 the second one all together is 15 and the last one is 60.
Step-by-step explanation: Basically you can divide the 60 with 15 and you can divide 60 with 3.
60/15 = 4
60/3 = 20
and 4 can go in to 20 5 times so yeah.
And I hope I helped you out.
