K is the midpoint of JL. If JK = 5x and JL = 8x + 10, what is JL?
Answers
Answer: 50
Step-by-step explanation:
Related Questions
i need help asap, pls help!!
Answers
Answer:
see below
Step-by-step explanation:
Since the triangles are congruent
<A = <X
< B = < Y
<C = < Z
That means B = Y = 90
And C = Z = 37
The sum of the angles of a triangle are 180
A+ B+ C = 180
A + 90+37 = 180
A +127 = 180
A = 180-127
A =53
A = X = 53
We also know
AB = XY
BC = YZ
AC = XZ
AB = 3 so XY =3
YZ = 4 so BC =4
XZ = 5 so AC = 5
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now on sale for $24.99?
What is the percent change?
Answers
Answer:
50% change.
explanation:
original cost: $49.99final cost: $24.99change: $49.99 - $24.99 = $25
[tex]\sf percent \ change: \dfrac{\$25}{\$49.99} *100 \ \ = 50 \%[/tex]
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-21)^{\circ}∠A=(3x−21) ∘ and m\angle B=(2x-13)^{\circ}∠B=(2x−13) ∘ , then find the value of x
Answers
===============================================
Work Shown:
Vertical angles are always congruent
(angle A) = (angle B)
(3x-21) = (2x-13)
3x-21 = 2x-13
3x-2x = -13+21
x = 8
---------
Extra info:
Use this x value to find each angle
angle A = 3x-21
angle A = 3*8-21
angle A = 24-21
angle A = 3 degrees
angle B = 2x-13
angle B = 2*8-13
angle B = 16-13
angle B = 3 degrees
Both angles A and B are 3 degrees, so this confirms the answer.
Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The Vertical angles are always congruent,
(angle A) = (angle B)
(3x-21) = (2x-13)
3x-21 = 2x-13
3x-2x = -13+21
x = 8
Now Use this x value to find each angle;
angle A = 3x-21
angle A = 3*8-21
angle A = 24-21
angle A = 3 degrees
angle B = 2x-13
angle B = 2*8-13
angle B = 16-13
angle B = 3 degrees
Hence Both the angles A and B are 3 degrees, so this confirms that both are vertical angles.
Learn more about angles here:
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which of these pairs of points defines a line with a slope 3/5
A. (0, 4) and (7, 5)
B. (4, 0) and (7, 5)
C. (4, 0) and (5, 7)
D. (0, 4) and (5, 7)
Answers
Answer:
DDD
Step-by-step explanation:
hi i need help asap
A=
B=
Answers
Answer:
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
explanation:
[tex]\rightarrow \sf \sqrt[3]{x^{10}}[/tex]
insert -2 as x
[tex]\rightarrow \sf \sqrt[3]{(-2)^{10}}[/tex]
simplify
[tex]\rightarrow \sf \sqrt[3]{1024}}[/tex]
breakdown
[tex]\rightarrow \sf \sqrt[3]{2 * 8^3}}[/tex]
final answer
[tex]\rightarrow \sf 8\sqrt[3]{2}[/tex]
→ This a = 8 and b = 2
Answer:
[tex]8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
Step-by-step explanation:
Substitute [tex]x=-2[/tex] into the expression:
[tex]\implies \sqrt[3]{(-2)^{10}}[/tex]
Apply exponent rule [tex](-a)^n=a^n[/tex] if n is even:
[tex]\implies \sqrt[3]{2^{10}}[/tex]
Apply exponent rule [tex]a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies \sqrt[3]{2^9\cdot2^1}[/tex]
Apply radical rule [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex]
[tex]\implies \sqrt[3]{2^9}\sqrt[3]{2}[/tex]
Apply radical rule [tex]\sqrt[n]{a^m} =a^{\frac{m}{n}}[/tex]
[tex]\implies 2^{\frac{9}{3}}\sqrt[3]{2}[/tex]
Simplify:
[tex]\implies 2^3\sqrt[3]{2}[/tex]
[tex]\implies 8\sqrt[3]{2}[/tex]
Therefore, a = 8 and b = 2
What is the domain of Ax) = 4*?
O A. All nonnegative real numbers
O B. All real numbers greater than 4
O C. All real numbers
O D. All real numbers greater than or equal to 4
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Answer: all real numbers!! <3
Step-by-step explanation:
7th grade. reasoning about equations and tape diagrams
Answers
Answer:
so...
1. 3(x+6) = 24
2. 6(x+3) = 24
a) 3(x+6) = 24 is diego juice question
6(x+3) = 24 is show question
b) x in equation 1 is 2 because you work the equation backwards and the opposite way, 24/3 then - 6
x in equation 2 is 1 because you work the equation backwards and the opposite way, 24/6 then - 3
sorry but i do not understand question b and c, hope this helps though
Wrte 25x10^6 in standard form
Answers
Answer:
25x10^6= 25000000
Step-by-step explanation:
25000000
25 * 10^6
But 10^6 is the same as multiply 10 six times, that is, 10 * 10 * 10 * 10 * 10 * 10 * 10. The result is as simple as writing 1 and six zeros, that is, counting the number of zeros I can see. So, 10^6 = 1000000.
Now, 25 * 10^6 = 25 * 1000000
The final answer is 25000000
Write the converse of the following statement and determine its truth value:
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
for brainliest
Answers
Answer:
The converse is:
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value is:
True
Step-by-step explanation:
The statement can be split into:
p -> If a class has 3 left-handed people and 24 right-handed people,
q -> the ratio of lefties to righties is 1:8
The converse of a conditional statement is:
if q then p
So, we have the converse to be;
if the ratio of lefties to righties is 1 : 8, then for every 3 left handed people, there are 24 right handed people.
The truth value.
For p, we have.
Ratio = 3 : 24
This can be simplified to.
Ratio = 1 : 8
For q, we have:
Ratio = 1 : 8
Since both are true, then the truth value is true
As it emerges from the cross multiplication performed, the statement is correct.
Since it is stated that "If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1: 8", to determine if this statement is correct the following calculation must be performed:
1 = 3 8 = X 8 x 3 = X 24 = X
Therefore, as it emerges from the cross multiplication performed, the statement is correct.
Learn more in https://brainly.com/question/1504221
. Find the slope of the line through the points (-5, 86) and (95, 16).
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The slope's equation is:
⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]
Since the two points are (-5,86) and (95,16)
⇒[tex]slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}[/tex]
Thus the slope is -7/10.
Hope that helps!
what’s 1x2x5????
please answer this is urgenttt
Answers
Answer:
10
Step-by-step explanation:
2 x 5 = 10, the 1 does nothing to change the answer
Answer:
Its 10 its too easy . why are you asking this type of simple quesrion.
What is the simplified form of the following expression? 13[62 ÷ (52 – 42) + 9]
Answers
Answer:
197.6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write expression
13[62 ÷ (52 - 42) + 9]
Step 2: Brackets - Parenthesis (Subtract)
13[62 ÷ 10 + 9]
Step 3: Brackets - Division
13[6.2 + 9]
Step 4: Brackets - Addition
13[15.2]
Step 5: Multiply
197.6
Find the length of KNJ
Answers
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
How long is 10% of a 24 hour day
Answers
Answer:
2.4 hours
Step-by-step explanation:
hsjwkwjwjwwiwjjwjw
Answer:
around 2hours and 24 mintues
Step-by-step explanation:
just divied it
If a(x)= 2x -4 and b(x) = x + 2, which of the following expressions produces a quadratic function? O (ab)(x) O(a/b)(x) O(a-b)(x) O(a+ b)(x)
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Answer:
(ab)(x)Step-by-step explanation:
Given are 2 linear functions
Only their product can produce a quadratic function
So the correct option is
(ab)(x)Consider the sequence -1,3,-9,27,-81
write an explicit formula to find the nth term.
find the 10th term of the sequence as well
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Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
Please Solve!! WILL GIVE BRAINLY!!
6b+7b<6b
Answers
Answer:
b is less than or equal to 0
Step-by-step explanation:
if we replace b with 0, the equation is true. if we take a number less then 0, for example -2, the equation is still true.
Answer:
6b-.6=7b
Step-by-step explanation:
The diameter of a circle is 26 inches. What is the circle's area?
Use 3.14 for .
i will give brainliest
Answers
Answer:
530.66 inches²
Step-by-step explanation:
How do we find the radius?
The radius if 1/2 of the diameter, so 26/2 = 13 inchesHow do we find the area of a circle?
The area of a circle is πr², where r = radius. We are given the radius as 13 inches, and pi is approximated to 3.14.Solving
[tex]3.14*13^2[/tex] [tex]3.14*169[/tex] [tex]530.66[/tex]Therefore, the answer is 530.66 inches².
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Solution:
We know that:
Diameter = 26 in.Radius = Diameter/2Area of circle = πr²Finding the radius of the circle.
Radius = Diameter/2=> Radius = 26/2 = 13 in.Finding the area of the circle.
Area of circle = πr²=> Area of circle = (3.14)(13²)=> Area of circle = 3.14 x 169=> Area of circle = 530.66 in²A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer: 3, 4, 5
Step-by-step explanation:
(1) False, those two angles added together would be equal to angle 1, not 4.
(2) False. Angles 2, 3, 5 added together would make 180, not 3, 4, 5.
(3) True, an interior angle and its corresponding exterior angle are supplementary.
(4) True by the exterior angle theorem.
(5) True because the angles in a triangle add to 180 degrees
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
Step-by-step explanation:
Assume the deep end has a larger volume, the difference in volume between the deep end and shallow end is:
Volume of the deep end - Volume of the shallow end
= (2x^2 + 12x + 10) - (4x^2 - 100)
= (2x^2 - 4x^2) + 12x + 10 + 100
= -2x^2 + 12x + 110 ft^3
Lets subtract
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-(4x^2-100)[/tex]
[tex]\\ \tt\Rrightarrow 2x^2+12x+10-4x^2+100[/tex]
[tex]\\ \tt\Rrightarrow 2x^2-4x^2+12x+10+100[/tex]
[tex]\\ \tt\Rrightarrow -2x^2+12x+110ft^2[/tex]
Officer Brimberry wrote 24 tickets for traffic violations last week, but only 21 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
The percent decrease is %?
Answers
Answer:
12.5% decrease
Step-by-step explanation:
decrease = [(old - new) ÷ old] 100
d = [(24 - 21) ÷ 24]100
d = [3 ÷ 24]100
d = [0.125]100
d = 12.5%
The answer is 12.5 _ _ _ _
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if the cost of 10 books I'd Rs.300 find the cost of 4 books
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Answer:
300 divided by 10 is equal too 30
and 30 times 4 is equal too 120
The Answer is 120
Step-by-step explanation:
write 16/20 in simplest form
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Answer:
Your answer is 4/5
Step-by-step explanation:
The area of a rectangle is 81 square inches. Given that the length is 9 inches more
than twice the width, find the dimensions of the rectangle.
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Answer:
I believe would be 9•3•3=81 I hope that helps
The cube of 9 is greater than 1,000. True or false?
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Answer:
no is the correct answer
Answer:
False
Step-by-step explanation:
The cube of 9 is 729 and 729 is smaller ( not greater ) than 1,000.
HOPE THIS HELPED
David spends 3 hours to make a flower vase and 4 electronic toy cars. If he takes 75 minutes to make a flower vase and a toy car, how long is he taking to make a car?
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1/3 plus -2 1/4 equals what
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Answer:
-1 11/12
Step-by-step explanation:
1/3=4/12 -2 1/4= -9/4 = -27/12
4/12 + -27/12 = -23/12
-23/12 = -1 11/12
Write the equation in standard form for the circle with radius 9 centered at the origin
Answers
Answer:
x² + y² = 81
Step-by-step explanation:
Standard form for the equation of a circle: (x - h)² + (y - k)² = r²
(where (h, k) is the center and r is the radius)
Given:
radius (r) = 9center of circle = (0, 0)⇒ (x - 0)² + (y - 0)² = 9²
⇒ x² + y² = 81
8. PROM A limo costs $85 to rent for 3 hours plus a 7% sales tax, What is the total cost
to rent a limo for 6 hours?
Answers
Answer:
181.9 dollars
Step-by-step explanation:
If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.
Factor completely x8 − 16. (x4 − 4)(x4 4) (x2 − 2)(x2 2)(x4 4) (x2 − 2)(x2 2)(x4 − 4) (x2 − 2)(x2 − 2)(x4 − 4).
Answers
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
What is factorization?factorization is a way of writing any expression in form of product of some expressions
Given polynomial
[tex]x^8-16[/tex]
We can factorize it as
[tex]x^8-16\\\\(x^4)^2-4^2\\\\(x^4+4)(x^4-4)\\\\(x^4+4)((x^2)^2-2^2)\\\\(x^4+4)(x^2+2)(x^2-2)\\\\(x^4+4)(x^2+2)(x^2-(\sqrt2)^2)\\\\(x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
By using identity we got the factorization form of [tex]x^8-16[/tex] as [tex](x^4+4)(x^2+2)(x-\sqrt2)(x+\sqrt2)[/tex]
To learn more about factorization visit :brainly.com/question/25829061
Answer:
B. 3x2y(3x2 − 2xy + y2)
Step-by-step explanation:
I just took the test <3