Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments A E, B F, and C D. The length of line segment A G is 2 x + 10, the length of line segment F G is 2 x minus 1, and the length of line segment G B is 3 x + 6.
G is the centroid of triangle ABC.
What is the length of AE?
units
Answers
Answer:
The length of AE is 39 units.
Step-by-step explanation:
Given:
G is the centroid of a triangle ABC.
Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments AE, BF, and CD.
The length of line segment A G is 2 x + 10, the length of line segment F G is 2 x minus 1, and the length of line segment G B is 3 x + 6
To Find: Length of the AE.
The centroid of the triangle is always cut the line in the ratio of 2:1. For clarification, the image is provided.
Hence,
G divides the line BF into a 2:1 ratio.
Thus,
[tex]\begin{aligned}&2FG=BG\\&2(2x-1)=3x+6\\&4x-2=3x+6\\&x=8 \end{aligned}[/tex]
Also,
G divides the line AE into a 2:1 ratio.
Therefore,
[tex]AG=2GE\\GE=AG/2[/tex]
Line segment AE is the sum of AG and GE.
Thus,
[tex]AE=AG+GE\\AE=AG+AG/2\\AE=3AG/2\\AE=3(2x+10)/2\\AE=39[/tex]
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The length of AE is 9 units.
Given that G is the centroid, it divides each median into two segments with the ratio of 2:1, where the longer segment is toward the vertex and the shorter segment is toward the midpoint of the opposite side.
Let's denote the length of AG as a, the length of BG as b, and the length of FG as c. According to the given information:
1. AG = 2x + 10
2. FG = 2x - 1
3. BG = 3x + 6
We know that AG = 2GE and BG = 2GE. Thus:
[tex]\[ AG = 2GE \implies GE = \frac{AG}{2} = \frac{2x + 10}{2} = x + 5 \]\[ BG = 2GE \implies GE = \frac{BG}{2} = \frac{3x + 6}{2} = \frac{3}{2}x + 3 \][/tex]
Since GE is common, we can equate the expressions:
[tex]\[ x + 5 = \frac{3}{2}x + 3 \][/tex]
Solving for x:
[tex]\[ \frac{1}{2}x = 2 \][/tex]
x = 4
Now that we've found the value of x, we can substitute it back into the expressions for AG and FG to find their lengths:
AG = 2x + 10 = 2(4) + 10 = 18
FG = 2x - 1 = 2(4) - 1 = 7
Now, we know that AE = AG - GE:
AE = AG - GE = 18 - (x + 5) = 18 - (4 + 5) = 18 - 9 = 9
So, the length of AE is 9 units.
Related Questions
PLEASE be respectful and don't do this for the points!
At the mission museum Mrs. Perez visited over break, there is a pond like the one below that has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 10 m. The inner edge of the sidewalk is a circle with a radius of 8 m.
(a) Write and simplify an expression for the exact area of the sidewalk. (4 points possible)
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π. (3 points possible)
Answers
Answer:
The formula for area of a circle is : A = PI x r^2
A) find the are of the two circles, subtract the two to find the area of the side walk:
Outside circle: A = PI x 10^2
Area = 100PI
Inner circle: A = PI x 8^2
Area = 64PI
Area of sidewalk:
100PI - 64 PI = 36PI
B) replace PI with 3.14:
Area = 36 x 3.14 = 113.04 square meters.
Step-by-step explanation:
Hope this helped.
point (k, -3) lies on the line whose equation is x-2y=-2. What is the value of k?
Answers
Answer:
Substitute, y = -3 and x = k on the equation.
=> k - 2×(-3) = -2
=> k = -2 + (-6)
=> k = - 8
=================
HOPE U UNDERSTOODMARK AS BRAINLIEST ONEAny Doubts? Please COMMENT
The required value of the k is -8 for which the point (-8, -3) line on the equation of the line.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Point (k, -3) lies on the line whose equation is x-2y=-2.
Put x = k and y = -3 in the given equation of the line,
k - 2 (-3) = -2
k = -2 -6
k = -8
Thus, the required value of the k is -8 for which the point (-8, -3) line on the equation of the line.
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On a container ship there were 30 small containers that each weighed 3 tons, 20 medium
containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.
Find the mean weight of the containers on this ship.
Answers
The mean weight of the containers on the ship is found by adding the total weight of all the containers (270 tons) and dividing by the total number of containers (60), giving a mean of 4.5 tons per container.
Explanation:In this problem, we are asked to find the mean weight of the containers on a ship. The mean is the average value of a set of numbers, found by adding all the numbers together and then dividing by the quantity of numbers.
First, let's compute the total weight of all the containers. The weight of the 30 small containers are 30 containers * 3 tons each = 90 tons. The weight of the 20 medium containers are 20 containers * 5 tons each = 100 tons. The weight of the 10 large containers are 10 containers * 8 tons each = 80 tons.
So, the total weight of all the containers is 90 tons + 100 tons + 80 tons = 270 tons. And the total number of containers is 30 + 20 + 10 = 60 containers.
So, the mean weight of the containers is 270 tons Total Weight / 60 = 4.5 tons/container. So, the mean weight of the containers on the ship is 4.5 tons.
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what is the P(T,H,T,H) on 4 flips of a coin?
i need help
Answers
Answer:
1/16
Step-by-step explanation:
Each coin flip is an independent event so the probabilities are independent
P(T,H,T,H) = P(T) P(H) P(T) P(H)
= 1/2 * 1/2 * 1/2 * 1/2
= 1/16
» How many ounces are in 1 cup?
1)
The unit rate is
ounces per cup.
Answers
Answer:
8 oz. per cup
Step-by-step explanation:
A certain forest covers an area of 8.25%. Suppose that each year this area decreases by 4800km^2. What will the area be after 5 years?
Answers
Solution:
The decreasing function is given as:
[tex]y = a(1-r)^t[/tex]
Where,
y is future value
a is initial value
r is decreasing rate
t is number of years
From given,
a = 4800
t = 5
[tex]r = 8.25 \% = \frac{8.25}{100} = 0.0825[/tex]
Therefore,
[tex]y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841[/tex]
Thus the area after 5 years is 3120.841 square kilometer
Find the center of the circle whose equation is (x-2)^2(y-4)^2=9.
A.(-2,-4)
B.(2,4)
C.(4,2)
Answers
Answer:
B.(2,4)
Step-by-step explanation:
The equation for a circle is written as
(x-h)^2 +(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-2)^2+(y-4)^2=9.
Rewriting this equation
(x-2)^2+(y-4)^2=3^2
The center is at (2,4)
(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
Reflect triangle LMN about the x-axis. Then translate the resulting triangle 2 units up.
What are the coordinates of the vertices of the final image?
A. L’(4, 2), M’(7, 9), and N’(1, 9)
B. L’(4, 4), M’(7, -11), and N’(1, -11)
C. L’(4, 4), M’(7, 11), and N’(1, 11)
D. L’(-4, 4), M’(7, -9), and N’(1, -9)
Answers
Answer:
The answer is C
B is reflection over the y-axis
Step-by-step explanation:
C. L’(4, 4), M’(7, 11), and N’(1, 11) are the coordinates of the vertices of the final image.
B is a reflection over the y-axis
What are the coordinates of the vertices of a cube?Any point (x, y, z) can consequently be written as a sum of factors at the parallelepiped with one vertex on the origin. on this coordinate gadget, we are able to outline the unit cube with the 8 corner points classified (zero, zero, zero), (1, zero, zero), (1, 1, 0), (0, 1, 0), (zero, zero, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1).
The coordinates of the vertices of a triangle are (x2,y2) and (x3,y3). the line becoming a member of the primary is divided in the ratio l: okay and the road becoming a member of this point of the department to the opposite angular point is then divided by the ratio m:k + l.
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the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 terms
Answers
Answer:
1800
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = - 27 and d = 6, thus
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × - 27) + (29 × 6) ]
= 15( - 54 + 174)
= 15(120)
= 1800
The sum of the first 30 terms of the arithmetic sequence, is 1800.
In an arithmetic sequence, the sum of the first n terms can be calculated using the formula:
Sum = n/2 × (2a + (n-1)d), where:
n is the number of termsa is the first termd is the common differenceGiven:
First term (a) = -27Common difference (d) = 6Number of terms (n) = 30Plugging in these values, we get:
Sum = 30/2 × (2(-27) + (30-1) × 6)
Calculating step-by-step:
Calculate the first part: 30/2 = 15Calculate inside the parentheses: 2(-27) + (30-1)6 = -54 + 29*629 × 6 = 174-54 + 174 = 120Final calculation: 15 × 120 = 1800Therefore, the sum of the first 30 terms of the arithmetic sequence is 1800.
Solve x2 + 2x + 9 = 0. (2 points) x equals negative 2 plus or minus 4 I square root of 2 x equals negative 2 plus or minus 2 I square root of 2 x equals negative 1 plus or minus 4 I square root of 2 x equals negative 1 plus or minus 2 I square root of 2
Answers
Answer:
it is D (-1 + or - 2i square root of 2)
Step-by-step explanation:
just took test
The value of x obtained after solving the equation x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.
What is a quadratic equation?Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
it is given that,
x² + 2x + 9 = 0
Rearrange the equation as
x² + 2x = - 9
Add 1 on both sides of the equation,
x² + 2x +1 = - 9 +1
x² + 2x +1 = - 8
(x+1)² = -8
Taking square root,
(x+1) = √ -8
Subtract 1 from both sides,
x+1-1 = -1 ±√(-8)
x = -1 ±√(-8)
√(-8) can be written as,
√(-8) = 2i√2
Substitute the values,
x = -1 ±2i sqrt(2)
Thus, the value of x obtained after solving the equation x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.
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which statement is true for all similar figures PLZZ HELP ME I WILL MARK YOU AS THE BRAINLIST
A they have the same size and shape
B they have the same size but different shapes
C they have corresponding sides that are congruent
D they have corresponding angles that are congruent
Answers
Answer:
C they have corresponding sides that are congruent
Step-by-step explanation:
hope this helps
Find the minimum value of
C = 4x + 3y
Subject to the following constraints:
x 20
y20
2x + 3y > 6
3x – 2y = 9
x + 5y = 20
Answers
Final answer:
To find the minimum value of C given the constraints, one must plot these constraints, find the feasible region's vertices, evaluate C at each vertex, and select the minimum value obtained. The minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.
Explanation:
To find the minimum value of C = 4x + 3y subject to the given constraints, we need to first correct the constraints provided, as it seems there might be a misunderstanding in how they were presented. Assuming the constraints meant to be:
1. [tex]\(x \geq 0\)[/tex]
2. [tex]\(y \geq 0\)[/tex]
3. [tex]\(2x + 3y \geq 6\)[/tex]
4.[tex]\(3x - 2y = 9\)[/tex]
5.[tex]\(x + 5y = 20\)[/tex]
We will solve the system of equations (4) and (5) to find the values of x and y that satisfy these conditions, and then we will check if these values satisfy all other constraints including (3). If they do, we'll use these values to find C.
Solving the equations simultaneously:
From equation (4): 3x - 2y = 9
From equation (5): x + 5y = 20
Multiplying equation (5) by 3 to eliminate x, we get:
3(x + 5y) = 3(20)
3x + 15y = 60
Now, subtract equation (4) from this result to eliminate x:
3x + 15y - (3x - 2y) = 60 - 9
3x + 15y - 3x + 2y = 51
17y = 51
y = 3
Substitute y = 3 into equation (5) to find x:
x + 5(3) = 20
x + 15 = 20
x = 5
Now, check if [tex]\(x = 5\) and \(y = 3\) satisfy the constraint \(2x + 3y \geq 6\):[/tex]
[tex]\[2(5) + 3(3) \geq 6\][/tex]
[tex]\[10 + 9 \geq 6\][/tex]
[tex]\[19 \geq 6\] - This is true.[/tex]
Since x = 5 and y = 3 satisfy all the constraints, we can calculate \(C\):
C = 4x + 3y
C = 4(5) + 3(3)
C = 20 + 9
C = 29
Therefore, the minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.
Which of the binomials below is a factor of this trinomial?
x2 + 14x+ 40
2 + 10
Β. χ+ 4
C. x-9
D. χ + 14
SUBMIT
Answers
Solution:
Given is:
[tex]x^2 + 14x + 40[/tex]
Factor the above polynomial
From given,
[tex]x^2 + 14x + 40[/tex]
[tex]Split\ the\ middle\ term\\\\x^2 + 4x + 10x + 40\\\\Break\:the\:expression\:into\:groups\\\\\left(x^2+4x\right)+\left(10x+40\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\\x(x + 4) + (10x + 40)\\\\\mathrm{Factor\:out\:}10\mathrm{\:from\:}10x+40\mathrm{:\quad }10\left(x+4\right)\\\\x(x + 4) + 10(x + 4)\\\\\mathrm{Factor\:out\:common\:term\:}x+4\\\\\left(x+4\right)\left(x+10\right)[/tex]
Thus, the binomials factor of given is (x + 4) and (x + 10)
A binomial trial is one in which there are four possible outcomes.
A. True
B. False
Answers
Answer:
The answer is B: False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual building in feet ?
Answers
The actual height of building is 1800 feet.
Step-by-step explanation:
Given,
Height of building in model = 3 inches
Scale used by engineer;
1 inch = 600 feet
Therefore;
Actual height of building = Height in model * Scale used
Actual height of building = 3 * 600
Actual height of building = 1800 feet
The actual height of building is 1800 feet.
First, we need to figure out how much you want to borrow. You said you wanted to spend $5,000, and you will put $500 down. Based on that, we can estimate your taxes to be $340. Put those numbers to see how much money you will need for your loan.
Answers
Answer: You will need $4,160 for the loan.
The money that will need for the loan is $4160.
What is down payment?A down payment is a sum of money the buyer pays at the outset of a large transactions. The down payment represents a portion of the total purchase price, and the buyer will often take out a loan to finance the remainder.
For the given situation,
The total amount wanted to spend = $5000
Down payment = $500
Tax amount = $340
Money that will need for the loan can be calculated as
⇒ [tex]5000-(500+340)[/tex]
⇒ [tex]5000-840[/tex]
⇒ [tex]4160[/tex]
Hence we can conclude that the money that will need for the loan is $4160.
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Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?
Answers
Answer:
C =18.84
Step-by-step explanation:
The circumference is given by
C = pi*d
C = 6pi
If we approximate pi by 3.14
C = 6*3.14
C =18.84
x + 5 = 2(7 + x) in sentence form
Answers
Answer:
x plus 5 equals 2 times brackets 7 plus x
Step-by-step explanation:
Kendra is babysitting her cousins, who are quintuplets. At snacktime, Kendra puts 5 plates on the table. She cuts apples into slices and places an equal number of slices on each cousin's plate. There is a total of 35 apples slices on the plates.
Which equation can you use to find the number of apple slices s on each plate?
Answers
Answer:
Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.
Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.
To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)
Each quintuplet would be 7 apple slices.
Hope this helps ;)
Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
Answers
Answer:
$1440
Step-by-step explanation:
First, find the unit rate by dividing 300 by 5, which equals 60. So, Kendra earns $60 in one day. Then, multiply 60 by 24, which equals 1440. So, Kendra makes $1440 in 24 days. Hope this helped!
Answer:1440 dollars earned In 24 hours
Step-by-step explanation: first divide 300 by 5 to get 60 then multiply 60 by 24 to get 1440
Translate six minutes less then bobs time in a algebraic expression
Answers
Answer:
B-6
Step-by-step explanation:
If (B) represents Bob's time, six minutes less than Bob's time is B-6=T where (T) represents the time six minutes less than Bob's time.
The phrase 'six minutes less than Bob's time' can be translated into the algebraic expression 'B - 6', where 'B' represents Bob's time.
Explanation:The given phrase 'six minutes less than Bob's time' can be written as an algebraic expression. Algebraic expressions are mathematical phrases containing numbers, variables (like 'Bob's time'), and operations. In this case, we can symbolize 'Bob’s time' as a variable, let’s choose 'B'. Then 'six minutes less than Bob's time' translates to 'B - 6' in an algebraic expression. That’s because 'less than' implies subtraction and it always means you subtract from the number or variable stated after the expression, in this case, 'Bob's time' or 'B'.
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Is 10xyz^3 a monomial
Answers
Answer:
Yes, 10xyz^3 is a monomial.
Step-by-step explanation:
A monomial is an algebraic expression consisting of one term that can have multiple variables of different degrees within.
Two lines intersect to form the angles shown.
Which statements are true?
Select each correct answer.
m<1=100 degrees
m<3=80 degrees
m<2= 80 degrees
m<3=m<1
Answers
Answer:
m∠3=80 degrees
m∠3=m∠1
Step-by-step explanation:
When two lines intersect, the opposite angles are equal. They are called vertical angles. That means for this problem:
m∠1 = m∠3 *Last option is true
m∠2 = 100° *Third option is false
A straight line is always 180°. When it is cut up, the sum of the angles is 180°. They are called suppementary angles. These are supplementary:
100° + m∠3 → m∠3 = 80° *Second option is true
m∠1 + 100° → m∠1 = 80° *First option is false
m∠1 + m∠2 → One or the other is 100° and 80°
m∠2 + m∠3 → One or the other is 100° and 80°
A function, f, passes through the points (1,1), (2,7) and (3,25). A function, g, passes through the points (1,36), (2,43) and (3,50).
Select the correct answer.
Answers
Answer:
As the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.
Step-by-step explanation:
A function, f, passes through the points (1,1), (2,7) and (3,25).
The equation of the function 'f' can be written as:
The f(x) is obtained by:
[tex]f\left(x\right)=3f\left(x-1_\right)+4[/tex]
[tex]f\left(4\right)=3f\left(3\right)+4=\left(25\times 3\right)+4=75+4=79[/tex]
A function, g, passes through the points (1,36), (2,43) and (3,50).
The g(x) is obtained by:
[tex]g\left(x\right)=g\left(x-1\right)+7[/tex]
[tex]g\left(4\right)=g\left(4-1\right)+7=g\left(3\right)+7=50+7=57[/tex]
So, value of f(x) at x = 4 exceeds the value of g(x) at x = 4.
Therefore, as the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.
what decimal is equivalent to negative 3/8
Answers
Answer:
-6/16
Step-by-step explanation:
Step 1: Find equivalent to -3/8
(-3*2) / (8*2)
-6/16
Answer: -6/16
Answer:
-0.375
Step-by-step explanation:
If you have a scientific calculator just plug in [tex]-\frac{3}{8}[/tex] then switch it to decimal form
[tex]-\frac{3}{8} = -0.375[/tex]
If you need help going from fraction to decimal form all you need to do is divide -3 by 8 = -0.375
The soccer team is selling tubs of cookie dough and brownie mix. Elaina raised $75 by selling one tub of cookie dough and five tubs of brownie mix. Megan raised $141 by selling three tubs of cookie dough and eight tubs of brownie mix. How much is a tub of brownie mix?
Answers
The cost of one tub of brownie mix = $12
Step-by-step explanation:
Step 1 :
Let x represent one tub of cookie mix's cost and y represent one tub cookie mix's cost
Total amount raised by Elaine = $75
Number of cookie mix tub sold by Elaine = 1
Number of brownie mix tub sold by Elaine = 5
This can be represented by the equation
x + 5 y = 75 => x = 75 - 5y
Step 2 :
Total amount raised by Megan = $141
Number of cookie mix tub sold by Megan = 3
Number of brownie mix tub sold by Megan = 8
This can be represented by the equation
3 x + 8 y = 141
Step 3 :
Solving the equations obtained in the above steps we have ,
3 ( 75-5y) +8y = 141
225 - 15y + 8y = 141
-7y = -84 => y = 12
Step 4 :
Answer :
The cost of one tub of brownie mix is $12
Answer:
Step-by-step explanation:
12 dollars
How many solutions are there to this equation 3x(x-4)+5-x=2x-7
Answers
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
x = 1x = 4__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
__
Alternate method
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Solve for a
h = a/4
Answers
Answer:
a=4h
Steps:
4h=a swap the sides
a=4h
So , a=4h
You buy a watch for $60. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price?
Answers
Answer:
$9.00
Step-by-step explanation:
~~~~Hey there~~~~
1. Since it was 15% discount, that means you have to solve 15% of 60, which is equivalent to 0.15 x 60.
2. Since the product of 0.15 and 60 is 9, then 9 is your answer.
3. Your final answer is $9.00
Hope this helped!
~delightedsunrise8
Answer:
56
Step-by-step explanation:
You would first do 60 divide by 15 and get 4. Then you subtract 4 from 60 and get 56 as your answer.
4 is to 6 as 10 is to what
Answers
Answer:
x = 15
Step-by-step explanation:
Step 1: Make an expression
4/6 = 10/x
Step 2: Cross multiply
4/6 = 10/x
4x = 60
Step 3: Divide both sides by 4
4x / 4 = 60 / 4
x = 15
Answer: x = 15
Answer:
15
Step-by-step explanation:
4 is to 6 as 10 is to what
Represent the unknown number as x and write as a ratio
4:6 = 10:x
Write as fractions
4/6 = 10/x
Cross-multiply
4x = 60
Divide both sides of the equation by 4
x = 15
15
Hope this helps :)