64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
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Need help! What are the coordinates of point P?
Answer:
the first circle.
Step-by-step explanation:
please mark brainliest of answers correct. have a nice day!
Answer:
A) -4,3
Step-by-step explanation:
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?
A box contains five slips of paper. These slips are marked $1, $1, $1, $10, and $25. The winner of a contest will select two slips of paper at random with replacement and will then get the larger of the dollar amounts awarded. Define a random variable W
Answer:
Random variable set is attached as image. Please see the image
Step-by-step explanation:
The random variable W consist of all possible set of selection of two reward slips
The set consists of total 20 possible outcomes
The set is given in the image attached
please help
Professor Ivy’s students have the following scores on her Exam.
61 88 67 88 91 69 45 92 52 38 98
Find the mode value.
Answer:
88
Step-by-step explanation:
The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.
Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens?
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function
Answer:
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
Step-by-step explanation:
Given that;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
cumulative distribution function can be calculated by; be cumulatively up the value of p(x) with the values before it;
so
x F(x)
0 P(X = 0) = 0.17
1 P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4
2 P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65
3 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91
4 P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1
Therefore, cumulative distribution function f(x) is;
(X) 0 1 2 3 4
P(X) 0.17 0.23 0.27 0.24 0.09
F(x) 0.17 0.04 0.65 0.91 1
11.45 x 3.7 =
(step by step explanation pls)
!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!
Answer:
80 minutes
35.2 km
Step-by-step explanation:
You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.
The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal
That means that
.44t = 35t + 7.2 Subtract 0.35t from both sides
0.44t - .35t = 7.2
0.09 t = 7.2 Divide
t = 7.2/0.09
t = 80 minutes
How far apart are they from the starting point?
d = 0.44t
d = 0.44 * 80
d = 35.2 km from the starting point.
Evaluate !! look at photo please i need help
Answer:
[tex]Sum = 832[/tex]
Step-by-step explanation:
Given
See attachment
Required
Evaluate
The expression can be expressed as:
[tex]Sum = 2n + 5;\ n=1...26[/tex]
To do this, we make use of sum of n terms of an AP.
When n = 1
[tex]2n + 5 = 2 * 1 + 5 = 7[/tex] --- T1
When n = 2
[tex]2n + 5 = 2 * 2 + 5 = 9[/tex] --- T2
When n - 26
[tex]2n + 5 = 2 * 26 + 5 = 57[/tex] --- T26
Next, we calculate d (common difference)
[tex]d = T_2 - T_1[/tex]
[tex]d = 9 - 7 = 2[/tex]
So, the sum is:
[tex]Sum = \frac{n}{2}(T_1 + T_n)[/tex]
Let n = 26
So, we have:
[tex]Sum = \frac{26}{2}(T_1 + T_{26})[/tex]
Substitute values for T1 and T26
[tex]Sum = \frac{26}{2}(7+57)[/tex]
[tex]Sum = \frac{26}{2}(64)[/tex]
[tex]Sum = 13*64[/tex]
[tex]Sum = 832[/tex]
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
solve for brainliest
9514 1404 393
Answer:
∠W = 130∠X = 140∠Y = 50∠Z = 40Step-by-step explanation:
Using 'y' and 'z' to represent angles with the corresponding names, we have ...
y + z = 90
(3b -1) +(2b +6) = 90 . . . . substitute the given expressions
5b +5 = 90 . . . . . . . . . . . . simplify
b +1 = 18 . . . . . . . . . divide by 5
b = 17 . . . . . . . . subtract 1
Then the angles are ...
y = 3b -1 = 3(17) -1 = 51 -1 = 50
z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be
Angles W and Y form a linear pair, so are supplementary:
W = 180 -Y = 180 -50 = 130
Angles X and Z form a linear pair, so are supplementary:
X = 180 -Z = 180 -40 = 140
Then the angle measures are ...
∠W = 130∠X = 140∠Y = 50∠Z = 40What is 33/88 in simplest form?
Answer:
3/8
divide both by 11
you get 3/8
Which of the following is equivalent to In 4x+5inx-in2xy
What is the Answer pls help
Answer:48ft
Step-by-step explanation:
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
plz help me on this
hope this sheet helps :)
Answer:
It would bounce at 78 centimeters height
Step-by-step explanation:
expand and simplify (x-3) (x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(x - 3) (x + 5)}}\\\\\large\text{DISTRIBUTE}\\\\\large\boxed{\mathsf{x(x) + 5(x) - 3(x) - 3(5)}}\\\\\large\boxed{\mathsf{x^2 + 2x - 15}}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x^2+ 2x - 15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLS HELP!! FIND X AND Y
Answer:
x=110
y=70
Step-by-step explanation:
sddefgyuikohffuioo
Diana pays $33 for 12 gallons of gas. Manny pays $37.10 for 14 gallons of gas. How much less per gallon does Manny pay than
Find the slope of the line below. Help please!
Answer:
-3/2
Step-by-step explanation:
go up 3 and left 2
The lengths of the sides of a right triangle are 10 in., 24 in., and 26 in. What is the area of the triangle?
Answer:
[tex]Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches[/tex]
In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!
Answer:
RS = 6 feetStep-by-step explanation:
Use ratios of corresponding sides:
TS/T'S' = RS/R'S'Substitute and solve for x:
9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3Find the length of RS:
RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feet
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
What type of angles are these?
Complementary, Supplementary, or Neither
Got It? Do these problems to find out.
-15
85° | 90°
75
Answer:
a: Neither; b: Complementary
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.
For letter b. the answer is complementary because 75 +15= 90 degrees.
What is the formula you would use to find the area of a triangle? Explain how that formula is related to the area formula for a rectangle.
Answer:
1/2 b*h
Step-by-step explanation:
for rectangle it is b*h means double of that traingle
Find the value of x.
4
X
25
10
x = [?]
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10/4 x 25/x
Cross multiply and it will give you 100/10x
Divide and get 10
PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest
t=100 I was not sure about y sowyy