The value of x is 10.
GivenBy the converse of the side-splitter theorem;
If [tex]\rm \dfrac{JK}{KL}[/tex] then, KM||JN.
What is the side-splitter theorem?If a line is parallel to one side of the triangle and intersects the other 2 sides, it divides the sides proportionally.
If a line is drawn parallel to one side of the triangle, then it divides the other two sides in the same ratio.
KM || JN
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\[/tex]
Where JK = x-5, KL = x-3, NM = x, and KL = x+4.
Substitute all the values in the equation
[tex]\rm \dfrac{JK}{KL}= \dfrac{NM}{ML}\\\\ \dfrac{x-5}{x-3} = \dfrac{x}{x+4}\\\\(x-5) (x+4) = x(x-3)\\\\x^2+4x-5x-20 = x^2-3x\\\\x^2-x-20-x^2+3x=0\\\\2x-20=0\\\\2x = 20\\\\x = \dfrac{20}{2}\\\\x=10[/tex]
Hence, the value of x is 10.
To know more about the side-splitter theorem click the link given below.
https://brainly.com/question/10612748
Answer:
NM/ML
x+4
20
10
Step-by-step explanation:
just did it
-edge 2022
Help i’m so confused on this question
Answer:
12:30 PM
Step-by-step explanation:
In 2 hours (8:30 AM and 10:30 AM) she filled half of the full pond.
So to fill the other half we double how long it has taken her to do the first half assuming she doesn't stop. Therefore, the answer will be 12:30 PM
MAKE SURE TO WRITE PM AS IT IS AT MIDDAY
Answer:
Hello, the pool will be full at 12:30 PM. 1200 gallons is half of the capacity of the pool (2400), and the pool was half full at 10:30 AM after being run since 8:30 AM - two hours. This means that the pool will only need two more hours to fill up, and it will be full at 12:30 in the afternoon.
Have a great day! - Mani :)
match each ratio to the situation that it correctly models.
The ratio that correctly models the situations are:
1 to 3 - for every cup of water added to the mixture, there are three drops of food colouring added.
4 : 3 - for every 4 students wearing pants, there are 3 students wearing shorts.
12 : 3 - there 4 times as many boys as there are girls.
What are ratios?A ratio expresses the relationship between two numbers. It shows the number of times that one value is contained in another value. The sign used to represent ratios is :.
Please find attached the complete questions. To learn more about ratios, please check: https://brainly.com/question/25927869
Question 4 of 9
(7-1) + 8 = 7 - (1 + 8)
O A. True
O B. False
Answer:
B. False
Step-by-step explanation:
(7-1) + 8 = 7 - (1 + 8) is not true.
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
In this case, we only need parenthesis and addition.
(7-1)+8
(6)+8
14
7-(1+8)
7-(9)
-2
14=-2 is not true.
Hope this helps :)
show work giving BRAINLY if correct
Answer:
A. Kaitlyn uses more cups of flour per cookie.
Step-by-step explanation:
Kaitlyn's
[tex]2\frac{1}{2}[/tex] cups of flour---> [tex]3\frac{1}{2}[/tex] cookies
1 cups of flour--> [tex]3\frac{1}{2}[/tex] / [tex]2\frac{1}{2}[/tex] = 1.4 cookies.
Megan's
[tex]1\frac{3}{4}[/tex] cups of flour---> [tex]2\frac{11}{12}[/tex]
1 cups of flour---> [tex]2\frac{11}{12} / 1\frac{3}{4}[/tex] = 1.67 cookies
Therefore, Kaitlyn uses more cups of flour per cookie.
What is the nth term of the linear sequence shown below? -9, -5, -1, 3, 7.
Answer:
4n - 13
Step-by-step explanation:
There's a +4 between each number in the sequence.
4n
The previous number before the first given (-9) is -13.
4n - 13
true or false: The range for an exponential function includes all real numbers.
False, The range for an exponential function does not include all real numbers but only real numbers greater than zero.
What is exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given statement,
The range for an exponential function includes all real numbers.
By the definition,
Exponential functions have the general form y = f (x) = aˣ,
where a > 0, a≠1, and x is any real number.
The reason a > 0 is that if it is negative, the function is undefined for -1 < x < 1. Restricting a to positive values allows the function to have a domain of all real numbers.
Thus the range is all real numbers greater than zero.
Hence, The range for an exponential function includes all real numbers is False because it includes real numbers greater than zero.
Learn more about exponential function here:
https://brainly.com/question/15352175
#SPJ2
21 - 3 + 18 ÷ 6 =
7 x 9 - 3 x 4 + 10 =
Answer:
21 - 3 + 18 ÷ 6 = 21
7 x 9 - 3 x 4 + 10 = 61
Step-by-step explanation:
Can anyone help me with this question brainly to the who answers the question
Answer:
The Answer is A and B
Step-by-step explanation:
Because out of all the answers these are
the most suitable ones
(Pls Mark as brainliest (: )
Write a scenario that could be represented by this equation: 3/4x = 12
Answer:
x=1 or x=16
Step-by-step explanation:
3/4x = 12 or 0.75x = 12
3/4x/3/4 = 12/3/4 or 0.75x/0.75 = 12/0.75
x=12/1 / 3/4
x= 4/4
x = 1 or x = 16
Ashleigh has to add 3,87 + 1,16 and leave her answer correct to two significant digits.Her work is shown below:3,87 is rounded off to 3,9 and 1,16 is rounded off to 1,23,9 + 1,2= 5,1Explain why her work is incorrect
Answer:
Her work is incorrect because she has to round to two significant figures after she adds the numbers instead of rounding each individual one and then adding.
Find the area of a circle with : (vi) circumfernece = 66 cm
Answer:
7.07 cm
Step-by-step explanation:
we know,
circumference = 2πr
so,
2 × 22/7 × r = 66
44r = 66×7 = 462
r = 462/44 = 1.5
therefore, radius of the circle is 1.5 cm.
now,
we know , area = πr²
so,
22/7 × (1.5)²
22/7 × 2.25
49.5/7
7.07 cm (approx)
therefore, area of the circle is 7.07 cm (approx.)
hope this answer helps you!
What is a/5+3=8 and what does a=?
Answer:
a=25
Step-by-step explanation:
Solve by subtracting 3 from both sides.
a/5=5
Multiply both sides by 5.
a=25
Answer:
a=25Step-by-step explanation:
a/5+3=8
Subtract 3 from both sides:
a/5+3 -3=8 -3
a/5=5
Multiply both sides by 5:
5×a/5=5×5
a=25
Hope it helps!
A clothing store offers a `20\%` discount on every item.The original price of a t-shirt was `\$18`. What is the discount price?
Find the Volume. 7 1/5ft 4 1/2ft 3ft
Answer:
97 1/5 cubed ft. or 97.2 cubed ft.
Step-by-step explanation:
7 1/5=7.2
4 1/5=4.5
3=3
7.2x4.5x3=97.2=97 1/2
Answer:
[tex]V = 97.2\ ft^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume
[tex]V = l * w * h[/tex]
[tex]V = 4.5\ ft * 3\ ft * 7.2\ ft[/tex]
[tex]V = 97.2\ ft^3[/tex]
Answer: [tex]V = 97.2\ ft^3[/tex]
help solve for x pleas
Answer:
360_(26+180+90) =64
Step-by-step explanation:
the measure of straight line is 180
and the sum of all angles is 360
what is the value of the expression 6/7 divided by 3/4
pls help me :"( geometry i will give brainliest
and 100 Pts
Answer:
ΔLNM is proved as isosceles triangle. Below for explanation.
Step-by-step explanation:
We know that:
AMBX = SquareSquares have equal sidesSince AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.
Side of square + Extra length = Side of triangleThis can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.
Hoped this helped!
Answer:
ΔLNM is proved as isosceles triangle
Step-by-step explanation:
a family took out a mortgage for $325,000. their monthly payments are $2400 per month. if they make their monthly payments for 30 year, how much total do they pay in interest to the bank
Answer:
i believe its 9822000 i added them then multiplied by 30
Step-by-step explanation:
dont delete please
Find the perimeter of the figure.
help pls
Answer:
56m5+5+5+11+7+7+16=56
Plz helppp
Use Distributive Property to Solve for x
4 (x + 3)=8
what is 5/6 × 4/9? I'm a little confused
Answer:
10/27
Step-by-step explanation:
5/6 * 4/9 = 20/ 54 = 10/27
a. 3
b. 4
c. 6
d. 8
Answer:
D. x = 8
Explanation:
Triangle ACD is an enlarged triangle of Triangle ABE
so an equation can be formed to solve this:
[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{30+30}[/tex]
[tex]\frac{3x}{30}[/tex] = [tex]\frac{48}{60}[/tex]
3x * 60 = 48 * 30
180x = 1440
x = 1440 ÷ 180
x = 8
Triangle ACD is an enlarged triangle of Triangle ABE
so an equation can be formed to solve this:
[tex]\frac{3x}{30} = \frac{48}{30 + 30} [/tex]
[tex] \frac{3x}{30} = \frac{48}{60} [/tex]
[tex] \frac{3x}{60} = \frac{48}{30} [/tex]
[tex]180x = 1440[/tex]
[tex]x = \frac{1440}{180} [/tex]
[tex]x = 8[/tex]
If someone mixes 36 liters of orange juice and 45 liters of soda water, how many batches would they make?
Answer:
9 batches
Step-by-step explanation:
(Found the full problem online)
1 batch : 4 liters of orange juice and 5 liters of soda water
How do we get from 4 and 5 to 36 and 45? For both we multiply by 9.
4 * 9 = 36
5 * 9 = 45
Therefore, they would be able to make 9 batches.
Hope this helps, please mark brainliest if possible :)
If your buying school supplies, and you buy 8 notebooks for $12.48, How much do you pay for 1 notebook?
Answer:
The answer is $1.56
Step-by-step explanation:
12.48÷8 = 1.56
a recipe for cookies calls for 2/3 of a cup of sugar per batch. elena used 6 2/3 cups of sugar to make multiple bathes did she make
Answer:
Elena made 10 batches.
Step-by-step explanation:
1 batch uses 2/3 cup
Elena used 6 2/3 cup
The number of batches is the quotient of 6 2/3 and 2/3.
We need to divide 6 2/3 by 2/3. First, we convert 6 2/3 into a fraction.
6 2/3 ÷ 2/3 = 20/3 ÷ 2/3 = 20/3 × 3/2 = 10
Answer: Elena made 10 batches.
Answer:
10
Step-by-step explanation:
2/3 for 1 cup if he used 6 2/3 of sugar then its 10.
if you times 2/3 by 10 its 6.66 and 6.66 is 2/3
1/3=33
2/3=66
3/3=100
I think of a number and halve it. The answer is two hundred and sixty. What number did I start with?
Let the number be x
Now we have a equation,
X÷2=260
x=260×2
x=520
Hence, the number you started with was 520.
The slope of the line passing through the points (k, 1) and (5, -11) is perpendicular to the line 4x + 3y = -21. What is the value of k?
Answer:
21
Step-by-step explanation:
all the details are in the attached picture.
can anyone help me with this? i dont understand it, thank you
Answer:
15j^2k^2+10jk^2
Step-by-step explanation:
You distribute the term 5jk to the terms inside parentheses.
5jk(3jk) = 15j^2k^2
5jk(2k) = 10jk^2
Now put in original form:
15j^2k^2+10jk^2
Tom descended 1500 feet in his airplane. He then ascended 2500 feet and remained at that altitude. If the initial altitude was 20,000 feet, what is Tom's altitude now?
Math question right here
Answer: I think its BC and DC I dont know But I hope this helps!
Step-by-step explanation:
Answer:
∠ACB ≅ ∠ACD
Step-by-step explanation:
The SAS Postulate tells us:
If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
(Congruent = exactly the same)
(included angle is formed by the two known sides)
In this example we can see that 2 sides are congruent (by the dashes on the lines and the fact that both triangles share side AC), but we do not know if the included angles are congruent.
Therefore, we need to know if ∠ACB ≅ ∠ACD
