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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1
A line has a slope of -1/2and a y-intercept of -2.
Answer:
Step-by-step explanation:
y + 2= -1/2(x - 0)
y + 2 = -1/2x + 0
y = -1/2x - 2
-1/2x = -2
x = 4
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4
Answer:
Left 3 down 4 is the correct answer so C
Answer:
B. right 3, down 4
Step-by-step explanation:
A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?
Answer:
the answer is 1,089 since 33x33=1,089.
Step-by-step explanation:
A= x^2 x being the length of one of the sides, since all sides are the same.
craig has a coin and a number cube.The number cube is labeled 1-6.He flips the coin once and rolls the number cube once.What is the probability that the coin lands heads up and the number cube lands on an odd number
Answer:
3/12
Step-by-step explanation:
please help me with this
a . 18
b . 16
c . 12
d . 9
Answer:
I think it is 18(A)
Step-by-step explanation:
I multiplied 8x3 then I did 6x3 and got 18
Find the height of the triangle if the area is 36 m 2
Answer:
Area=1/2bh
Given area of 36m^2
1/2(x)(x-1)=36
Multiply both sides by 2 to remove deminator
(x)(x-1)=72
X^2-x=72
X^2-x-72=0 then factor
(x-9)(x+8)=0
X=9,-8 however since area must be positive, take the absolute value of 8
1/2(9m*8m)=36m^2
Please help! (the question is on the screenshot) Help ASAP Ty!
Answer:
A
Step-by-step explanation:
because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]A[/tex] [tex]I[/tex] [tex]know[/tex] [tex]this[/tex] [tex]might[/tex] [tex]be[/tex] [tex]late[/tex] [tex]but[/tex] [tex]A[/tex] [tex]is[/tex] [tex]correct.[/tex]
[tex]- Yaoii[/tex]
Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get incorrect
Answer:
28%. mark got 28% WRONG
Step-by-step explanation:
another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/
What is 6 times the amount of water and liquid?
Answer:
6 time the amount of a liquid is 7
2x - 3y = -14
5x + 9y = -2
Step-by-step explanation:
2x-3y= -14
5x+9y= -2
multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.
➡️when you multiply,it will be
10x-15y= -70
-10x-18y= 4
cancel out each x value,then you get
-15y-18y= -70+4
-33y= -66, divide each side by -33 to get the value of y
⚪️y= 2
➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x
2x-3(2)= -14
2x-6= -14
2x= -14+6
2x= -8 divide both side by 2
⚪️x= -4
so the answer is (-4,2)
need help with this problem
Answer:
h(x) = -x² + 11 x + 2
Step-by-step explanation:
Explanation:-
Given that the functions are
f(x) = 2 x² - 5x -3
g(x) = x² + 6x -1
h(x) = g(x) - f(x)
= x² + 6x -1 - (2 x² - 5x -3)
= - x² + 6 x +5x -1+3
= -x² + 11 x + 2
h(x) = -x² + 11 x + 2
Final answer:-
h(x) = -x² + 11 x + 2
A cylinder has a base radius of 9m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Please help
Answer:
3562.6 m³
Step-by-step explanation:
In this question, we have to find the volume of a cylinder.
The formula to find the volume of a cylinder is V = πr²h
Plug in your values and solve.
Solve:
V = π(9)²(14)
V = π(81)(14)
V = π(1,134)
V = 3562.566069
Round to the nearest tenths place.
V = 3562.6
Don't forget that the units for volume is already cubed, or to the power of 3.
Your final answer would be 3562.6 m³
I need help with this math problem
Please help me i’m sorry
Answer:
Is that 11/3 because of rise over run??? I'm not sure
what is the diameter
Answer:
9.61m
Step-by-step explanation:
to find the diameter you have to multiply the radius by 2
since radius is half of a circle
AHHH HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
The depth of the aquarium is 3 feet.
Step-by-step explanation:
From the formula for the volume of a bar we find that [tex]V=whl[/tex], where [tex]w[/tex] is the width, [tex]h[/tex] is the height (depth), and [tex]l[/tex] is the length of the bar (which in this case is the aquarium). So [tex]h=\frac{V}{wl}[/tex] and by substituting [tex]V=11.94[/tex], [tex]w=1.4[/tex] and [tex]l=2.6[/tex] we can see that [tex]h=\frac{V}{wl} = \frac{11.94}{2.6 \cdot 1.4} = 3.2802... \approx 3[/tex] feet (rounding to the nearest whole number).
So the depth of the aquarium is 3 feet.
What is the area of a perimeter with 12 cm?
Answer:
shape name is it square or rectangle is needed to be told
Step-by-step explanation:
if it's square then area is 9cm^2
Is The order that you perform the similarity transformations important?
Answer:
yes i think it is
Step-by-step explanation:
What is 3x+6-x+4 if x is 10?
30
Substituting x as 10:
3(10) + 6 - 10 + 4
30 + 6 - 10 + 4
30
Answer:
30 is the answer
Step-by-step explanation:
3x + 6-x + 4
3(10) + 6 -10 + 4
30 + -4 + 4
30 + 0
=30
I need help on this question please it would mean a lot.!
Answer:
A
E
F
Step-by-step explanation:
These fractions divided equal repeating decimals.
Hope it helps and is correct!
How do u calculate Pythagorean theorem and what is the formula
Answer:
The formula is
Step-by-step explanation:
a^2 + b^2 = c^2
hope this helps
A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?
Solve:
(Vx + 2)(Vx - 2) = 0
X=
Answer:
x = 4
Step-by-step explanation:
Given:
(√x + 2)(√x - 2) = 0
Required:
Find x
SOLUTION:
√x(√x - 2) + 2(√x - 2) = 0 (distributive property)
x - 2√x + 2√x - 4 = 0
x - 4 = 0
x - 4 + 4 = 0 + 4
x = 4
et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
Answer:
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
Step-by-step explanation:
Step(i):-
Mean of the Population = 191.8 ft
Standard deviation of the Population = 4 ft
Let 'X' be the random variable in normal distribution
X = 182.2 feet
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]
Step(ii):-
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = P( z≤ -2.4)
= 1-P(z>2.4)
= 1-(0.5 + A(2.4))
= 0.5 - A(2.4)
= 0.5 - 0.4918
= 0.0082
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)
Answer:
[tex]3x^{2} - 7x - 6[/tex]
Step-by-step explanation:
[tex]2x^{2} - 6 + x^{2} - 7x[/tex]
[tex]3x^{2} - 7x - 6[/tex]
Write an
algebraic expression for the situation.
34 divided by a number m
Answer:
34 div 68m??
Step-by-step explanation:
Answer:
answer = 34 / m
Step-by-step explanation:
Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer
what is 5 divided by 3/10
Answer:
16.6 :)
Step-by-step explanation:
PLZ FOLLOW ME
How do I solve this......?
Answer:
1.0.87
2.87/100
3.25%
4.0.25
5.35%
6.7/20
Step-by-step explanation:
Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3
Answer:
C. 5 divided by 2/3
D. 15/2
E. 3/2 X 5
hope this helps
Step-by-step explanation:
Negative thirteen decreased by 3 times a number
Answer:
-13-x(3)
Step-by-step explanation:
Hope this helps :)
The expression in the mathematical form will be 3x + 13.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Negative thirteen decreased by 3 times a number. Then the expression in the mathematical form is given as,
Let x be the number. Then the expression will be
⇒ 3x - (-13)
⇒ 3x + 13
The expression in the mathematical form will be 3x + 13.
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