This pair of figures is similar. Find the missing side. Help ASAP!!
Answer:
The missing side “x” is 2.
Step-by-step explanation:
From the given figure, we came to know that these are “similar triangles” where the ratio of the one “corresponding side” of a triangle is equal to the other two “corresponding sides” of a triangle.
Let the triangles be ∆ABC and ∆DEF
[tex]\Delta A B C \sim \Delta D E F[/tex]
From similarity of triangle rule the sides,
[tex]\frac{A B}{D E}=\frac{B C}{E F}[/tex]
Given that,
AB = x, DE = 8, BC = 4 and EF = 16
[tex]\text { Substitute the values in } \frac{A B}{D E}=\frac{B C}{E F} \text { to find }^{u} \mathrm{x}^{\prime \prime}[/tex]
[tex]\frac{x}{8}=\frac{4}{16}[/tex]
[tex]\frac{x}{8}=\frac{1}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
x = 2
Therefore, we found the missing side x = 2
I need help with question 10 (math work is about adding fractions with putting them in simplest form)
Answer: The answer is equivalent fractions.
Step-by-step explanation:
I hope this helped you! :D
x + y = 75
10x + y = 48
Can someone help me?
Final answer:
The system of linear equations x + y = 75 and 10x + y = 48 is solved using the elimination method, resulting in the solution x = 3 and y = 72.
Explanation:
The student is given a system of two linear equations:
x + y = 7510x + y = 48To solve this system, we can use the method of elimination or substitution. Here, elimination appears to be the more straightforward method. We'll subtract the second equation from the first to eliminate the variable y, as they both have the same coefficient in y. Subtracting the second equation from the first gives us:
9x = 27
Solving for x, we find:
x = 27 / 9 = 3
Now that we have the value for x, we can substitute it back into either of the original equations to find the value for y. Substituting into the first equation:
3 + y = 75 => y = 75 - 3 => y = 72
So the solution to the system is x = 3 and y = 72. This method remains effective even with the advent of computer algebra methods and Mathcad.
Write the equation of a line that is perpendicular to y =3x-2 and that passes through the point(-9,5)
Answer:
y = -1/3x + 8
Step-by-step explanation:
If two lines are perpendicular, the signs of the slope must be opposite and the slopes are reciprocals.
(basically if one is say -2/3, the other is 3/2. just flip it upside down)
So this slope is 3, so the new slope should be -1/3
The equation is now y = -1/3x + b
To find b, substitute (-9,5) in the equation
y = -1/3x + b
5 = -1/3(9) + b
5 = -3 + b
8 = b
So the equation is y = -1/3x + b
Answer:
y = -1/3x + 2
Step-by-step explanation:
I dont know who verified the other guy but he is wrong
solve the problems
A) X/840 = 1/21
B) 14/X = 16/20
Answer:
Step-by-step explanation:
A) x/840=1/21
x=(1/21)*840=840/21=40
x=40
------------------
B) 14/x=16/20
simplify 16/20 into 4/5
14/x=4/5
x=14/(4/5)=(14/1)(5/4)=70/4
simplify
x=35/2
What is the total number of funny numbers between 30 and 60
Answer:
Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.
Step-by-step explanation:
Answer:
42 but with no 0
Mark is slicing 4 members of his family each person will get 1/6 of the tomato what fraction of the tomato will mark slice use fraction strips
Answer:
Step-by-step explanation:
Final answer:
The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex]. Using fraction strips, 4 members each getting [tex]\frac{1}{6}[/tex] of the tomato equals [tex]\frac{2}{3}[/tex] of the total tomato.
Explanation:
The fraction of the tomato Mark will slice is [tex]\frac{1}{6}[/tex].
We can represent this using fraction strips. If Mark slices 4 members of his family, each getting [tex]\frac{1}{6}[/tex] of the tomato, we can visually represent this as Dividing the fraction strip into 6 equal parts. Shade in 1 part of the strip, representing [tex]\frac{1}{6}[/tex] of the tomato.
If Mark slices 4 members, he will slice 4 times [tex]\frac{1}{6}[/tex], which equals [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex] of the tomato.
Wnting equadions
1 Scott works on Cars. He charges 35$
for each car Plus $7 per hour. Write
an equation that represents this Scenario
if Kylie's Car bill was $63
Good evening ,
Answer:
35+7x = 63
Step-by-step explanation:
35+7x = 63
then 7x = 63 - 35
then 7x = 28
then x = 28/7
then x = 4.
:)
A box of cereal weighs 600 grams. How much is this weight in pounds. Explain or show your reasoning.
To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams, which is approximately 1.32 pounds.
Explanation:To convert grams to pounds, divide the weight in grams by 453.6. In this case, the weight of the box of cereal is 600 grams. So, 600 grams ÷ 453.6 = 1.3228 pounds. Therefore, the weight of the box of cereal is approximately 1.32 pounds.
Help!
What is the area of triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?
Answer:19.25
Step-by-step explanation:
Answer:
9⅝cm²
Step-by-step explanation:
So the formula is
A=1/2bh
A=1/2(5 1/2)(3 1/2)
Turn to improper so it'll be easier
A=1/2(11/2)(7/2)
A=11/4(7/2)
A=77/8
a=9 5/8 cm²
your welcome
i need 7-12 please!!!
Answer:
number 7 is y= [tex]\frac{-ax+c}{b}[/tex]
Step-by-step explanation:
Select the graph of the solution. Click until the correct graph appears. |x| = 2
Graph of |x| = 2 is two vertical lines symmetric about the y-axis, intersecting x-axis at (2, 0) and (-2, 0).
The equation |x| = 2 represents two parallel vertical lines symmetrically positioned about the y-axis. These lines intersect the x-axis at points (2, 0) and (-2, 0), indicating the absolute value of x being equal to 2. The graph exhibits symmetry with respect to the y-axis, forming a V-shape.
It conveys that any value of x, whether positive or negative, yielding an absolute value of 2 satisfies the equation. The graph emphasizes the notion that the distance of x from the origin is fixed at 2 units, illustrating a clear geometric representation of the absolute value function.
If mr. Brown and his son together had 220 dollars, and mr. Brown had 10 times as much as his son how much money did each have?
Answer:
the son had $20 and the father had $200
Step-by-step explanation:
20 x 10 = 200
200 + 20 = 220
Cant be 22, Ah, 20!
Because 20 Times 10 is 200, and you add the 20 and you get 220!
Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous solutions.
Answer:
Solution: [tex]x=-\frac{1}{5}[/tex],[tex]x=0[/tex]
Step-by-step explanation:
Given:
The rational equation to solve is given as:
[tex]\frac{x}{6}=\frac{x^2}{x-1}[/tex]
Doing cross product, we get:
[tex]x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}[/tex]
Now, for [tex]x=0[/tex], the rational equation is equal to 0. So, [tex]x=0[/tex] is a solution.
Also, [tex]x=-\frac{1}{5}[/tex] is also a solution.
So, no extraneous solution.
Bri and Ali are the owners of Forever Nails. Bris work day is 7 hours and Mables work day is 5 hours. Bri and Ali each work 35 hours per week. On Monday, Bri has 13 clients in 7 hours and Ali has 11 clients in 5 hours. They each earn 14.25 per client. Assuming that for the rest of the week Bri and Ali have the same number of clients per workday as they did on Monday, what will be the difference between their weekly earnings?
Answer:
The difference between their weekly earning is $(1097.25 - 926.25) = $171.
Step-by-step explanation:
In 7 hours Bri has 13 clients and he earns $14.25 per client.
So, in 35 hours working in a week, Bri will get [tex]\frac{13 \times 35}{7} = 65[/tex] clients and he earns $(14.25 × 65) =$926.25 from his clients.
Again, in 5 hours Ali has 11 clients and he earns $14.25 per client.
So, in 35 hours working in a week, Bri will get [tex]\frac{11 \times 35}{5} = 77[/tex] clients and he earns $(14.25 × 77) =$1097.25 from his clients.
Therefore, the difference between their weekly earning is $(1097.25 - 926.25) = $171. (Answer)
$(1097.25 - 926.25) = $171 in 7 hours bri has 13 clients and he earns $14.25 per client in 5 hours ali has 11 clients and he earns $14.25 per client. the difference between their weekly earnings is 1097.25 - 926.25 = $171.
2y=5x+8 in standard form
Answer:
5x-2y + 8 =0
Step-by-step explanation:
2y=5x+8
5x-2y + 8 =0
does this sum converge: show steps
Answer:
Yes
Step-by-step explanation:
[tex]\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }[/tex]
If we say u = √n, then:
[tex]\sum_{u=1}^{\infty} (\frac{1}{e})^{u}[/tex]
This is a geometric series. Since |1/e| < 1, the series converges.
The distance it takes stop a car varies directly at the square of the sure of the car. If it takes 112 feet for a car traveling at 40mph to stop, what distance is required for a speed of 59 mph?
The distance required for a speed 59 mph is 243.67 feet
Step-by-step explanation:
The direct variation is a relation ship between two quantities, the
ratio between them is constant
If y varies directly with x, then y = k xx is the constant of variationTo find k substitute y and x by their initial values∵ The distance it takes stop a car varies directly at the square
of the speed of the car
∴ d = k v², where d is the distance in feet and v is the speed in mph
∵ it takes 112 feet for a car traveling at 40 mph to stop
∴ d = 112 feet , v = 40 mph ⇒ initial values
- Substitute these values in the rule above to find k
∵ 112 = k (40)²
∴ 112 = 1600 k
- Divide both sides by 1600
∴ k = 0.07
∴ d = 0.07 v² ⇒ equation of variation
∵ The speed v = 59 mph
- To find the distance required for this speed substitute v in
the equation of variation by 59
∵ d = 0.07 (59)²
∴ d = 243.67 feet
The distance required for a speed 59 mph is 243.67 feet
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Applying the direct variation formula between the speed and stopping distance of a car, we deduce that a car traveling at 59mph would require approximately 245 feet to stop.
Explanation:In this problem, we use the relation that the distance it takes to stop a car varies directly with the square of the speed- this is an example of a direct variation. Given the initial condition we can establish an equation to relate the speed and the stopping distance: D = kV² where D represents the stopping distance, V is the speed, and k is a constant of variation.
First, we utilize the given information (D=112 feet and V=40 mph) to determine the constant k: 112 = k(40²), yielding k = 112/(40²) = 0.07. This factor remains constant for the car irrespective of its speed.
With the constant k determined, we then substitute V=59 and the constant k into our original equation to calculate the distance required to stop at this speed: D = 0.07*(59²), resulting in D approximately equal to 245 feet. Therefore, a car traveling at 59 mph would require approximately 245 feet to stop.
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Which set of numbers is the most reasonable to describe a person’s hat size?
Answer:
Rational Numbers
Step-by-step explanation:
A hat size cannot be integers as that would include negative numbers. For example a person who's hat size is 7 & 5/8 which would make the answer 7.625 which is a rational number.
Answer:
"Rational numbers" is the set of numbers among the choices that are given in question that is the most reasonable to describe a person's hat size.
Step-by-step explanation:
rational numbers are by far the most reasonable description. The circumference of the human head certainly is not always an integer or whole number.
For this item, i go with letter D. Rational. The hat size cannot be integers as it includes negative numbers. For instance the person's hat size is 7 + 5/8 which leads to an answer of 7.625. That is a rational number.
hope this helps you
if this is correct can you give me the brainliest
The numbers 3 and 10 are on a number line.
Use a model to explain how to find the
distance between the numbers.
Explain in words how to find the distance
between 3 and 10 on the number line.
Answer:
7
Step-by-step explanation:
Using subtraction method, the distance between 3 and 10 is 7. On the number line, the starting point is 3; therefore, from 3 movement will take seven times to get to 10.
Jack is 4 times as old as Lacy. 5 years from now the sun of their age will 70. How old are they now?
Answer:
Lacy is 14 and Jack is 56
Step-by-step explanation:
Which of the following matches the graph?
Y=3/4x
Y=1/4x
Y=1/3x
Y=4x
Y=4/3
Answer:
B) y=1/4x
Step-by-step explanation:
Because the slope of this graph is 1/4. You can find this because slope=rise/run. On the graph, it's always 1 upward and 4 rightwards, therefore, the slope is 1/4. Also, the y-intercept is 0 in this case.
What is the distance between the points (3,12) and (14,2)
Answer:
square root of 221
Step-by-step explanation:
d= sqrt (14-3)^2 + (2-12)^2
sqrt 121+100= sqaure root of 221
Answer:
Distance between the points (3, 12) and (14, 2) is 14.8661
Step-by-step explanation:
Distance between two points = √(xB−xA)^2+(yB−yA)^2
Solution :
Distance between two points = √(14−3)^2+(2−12)^2
= √11^2+(−10)^2
= √121+100
= √221 = 14.8661
If 27 cards are in the whole set, how many are in 3/9 of the set
Answer: 9 cards
Step-by-step explanation:
x=27
3/9x = 1/3x = 27/3 = 9
Belle the cat naps 56 hours per week during daylight hours how many hours each day does bell nap? Write a division sentence with a blank for the missing number and solve
Answer: Its 8 hours a day.
56/7=8hours
A baby flower is 2 inches tall. It is growing at a rate of 3 inches every month. Write an equation that represents that situation.(algebra) helppppppppppppp!!!!!
The equation would be y = 3x+2
Here's an explanation:
Let y represent the length of the baby flower in total, and let x represent the number of months that have passed. Since the flower grows at a rate of 3 inches every month, then for x number of months, it would grow 3 times x, which is 3x. The problem also tell us that the flower is already 2 inches tall, which now makes it 3x+2. So the total length is equal to 3x + 2 inches, so the equation would be y=3x+2
order of operations with integers:
Please include steps:
- 5 x 6 -7
Answer:
-37
Step-by-step explanation:
-5(6) - 7
= -30-7
= -37
Hope this helps!
Answer:
-37.
Step-by-step explanation:
The order of operations is given by PEDMAS.
ParenthesesExponentsDivideMultiplyAddSubtract.
- 5 x 6 - 7:
Multiplication is done before Subtraction:
= -30 - 7
= -37.
what is the perimeter of an equilateral triangle whose height is 2√3
Answer:
12
Step-by-step explanation:
The perimeter of an equilateral triangle is 12 unit.
Let us consider that, each side of equilateral triangle is a . Because in equilateral triangle each sides are equal in length.
Apply Pythagoras theorem,
[tex](2\sqrt{3} )^{2}+(\frac{a}{2} )^{2}=a^{2} \\\\12+\frac{a^{2} }{4} =a^{2}\\\\a^{2}-\frac{a^{2} }{4} =12\\\\\frac{3}{4}a^{2}=12\\\\a^{2}=16\\\\a=4[/tex]
The perimeter of an equilateral triangle = [tex]3*a[/tex]
= [tex]3*4=12unit[/tex]
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a hockey season ticket holder pays $99.26 for her tickets plus $4.50 for a program each game. A second person pays $18.68 for a ticket to evey game, but doesn't buy programs. In how many games will they have paid the same amount
Answer:
7 games
Step-by-step explanation:
First Person:
Fixed Cost of 99.26
Variable Cost of 4.50 per game (program cost)
Second Person:
No Fixed Cost
Variable cost of 18.68 per game (ticket cost)
Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:
First Person Equation:
99.26 + 4.50x
Second Person Equation:
18.68x
Now, equate and solve for x:
99.26 + 4.50x = 18.68x
99.26 = 18.68x - 4.50x
99.26 = 14.18x
x = 99.26/14.18
x = 7
So, the answer is 7 games
Let f(x) = 3/4 x
Let g(x) = (3/4)x – 6
Which statement describes the graph of g(x) with respect to the graph of f(x)?
g(x) is translated 6 units right from
f(x).
g(x) is translated 6 units left from
f(x).
g(x) is translated 6 units down from
f(x)
g(x) is translated 6 units up from
f(x)
Answer:
g(x) is translated six units down from f(x).
Step-by-step explanation:
f(x ± k) is for a horizontal translation. So that rules out the first two.
f(x) ± k is a vertical translation. In this case, a negative number means it's moving down and a positive means it's moving up. Because we have a negative (in other words subtracting) we move line on the graph down.
The best description of the graph of g (x) with respect to the graph of
f (x) will be;
''g (x) is translated 6 units down from f (x)''
What is Translation?
A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The functions are,
⇒ f (x) = 3/4 x
And, g(x) = (3/4)x - 6
Now,
Since, We know that;
The function f (x) after the translation 'a' unit down, so we get the new function,
⇒ g (x) = f (x) - a
Here, The function g (x) is translation of f (x).
Thus, The best description of the graph of g (x) with respect to the graph of f (x) will be;
''g (x) is translated 6 units down from f (x)''
Therefore, The best description of the graph of g (x) with respect to the graph of f (x) will be;
''g (x) is translated 6 units down from f (x)''.
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