If K is the midpoint of JL, and (JL = 48), then (JK = KL = 24) and (a = 88).
As per the question statement, K is the midpoint of JL, and (JL = 48).
We are required to calculate the values of JK and KL and, also the value of "a" if [KL = (a - 24)].
Since, K is the midpoint of JL, then K divides JL into two equal line segments, JK and KL.
Therefore, lengths of JK and KL will be [tex]\frac{JL}{2}=\frac{48}{2}=24[/tex], i.e., (JK = KL = 24).
Also, since [KL = (a - 24)],
[tex]24 = (a -24)\\or, a = [24-(-24)]\\or,a = (24+24)\\or,a = 88[/tex]
Midpoint of a Line Segment: In geometry, the midpoint is the middle-most point of a line segment and is equidistant from both the endpoints of the line.To learn more about Midpoint of a Line Segment, click on the link below.
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A man if five times as old as his son. The sum of squares of their ages is 2106. How old is the son?
Answer: IS A
Step-by-step explanation: Correct option is A)
Let the age of the son be x
∴ The age of his father =5x
Given that
(5x)
2
+(x)
2
=2106
25x
2
+x
2
=2106
x
2
=
26
2106
=81
∴x=9
∴ Age of son =9 years
Age of father =5x9=45 years
You saw 5 flying saucers. each flying saucer had 5 aliens. each alien had 5 eyes. how many alien eyes were there altogether?
Answer:
125 alien eyes.
Step-by-step explanation:
5 flying saucers
5 aliens/flying saucer (5x5=25 aliens)
5 eyes/alien (25x5=125 eyes)
PLEASE HELP
What is the equation of the line?
Answer:
C. y=-1/2+1
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
m=-1/2
b=1
Hope this helps!
Please mark as brainliest if correct!
The car will use how much
gallons of gas to travel 1,155 miles
Answer: It will travel for 38.5 to 57.75 miles
Step-by-step explanation:
1) One gallon of gas will travel for at least 20-30 miles
Where 1155 miles will use 38.5 gallons or 58 gallons of gas
If its helpful please like thank you
how much larger is the combined debt of the three most populous states than of the three least populous states? Express your answer in scientific notation. Three most populous- 1.02 X 10*10 Three least populous- 1 X 10*10
NEED HELP ASAP!!!!!!!!
The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states.
What is the arithmetic operator?Summarization, subtraction, division, and multiplication are the four fundamental mathematical operations covered under the term "arithmetic operators."
Given the combined debt of ;
Most populous = -1.02 × 10¹⁰
Least populous = -1 × 10¹⁰
Most populous - Least populous ⇒
( -1.02 × 10¹⁰) - (-1 × 10¹⁰)
⇒ -0.2 × 10¹⁰
Multiply and divide by 10
⇒ -0.2 × 10/10 × 10¹⁰
⇒ -2 × 10¹⁰/10
⇒ -2 × 10⁹
Hence "The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states".
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each week, carmen earns a base pay of $35 plus 0.17 for every pamphlet that she delivers. write an equation that can be used to find how much carmen earns each week. how much will she earn the week that she delivers 300 pamphlets?
Answer:
Equation: m = 35 + 0.17p
Solution: $86
Explanation:
After writing the equation, plug in the value 300 to the variable p. You get m = 35 + 0.17(300). From there you multiply to get m = 35 + 51. Then add to get an answer of $86.
pls help will mark as brainliest
Answer:
p = 11 , q = 3
Step-by-step explanation:
solution file attached
Find the value of p if the sum of negative 4
and the quantity p divided 5 is sixteen.
Answer: I think it's 84
Step-by-step explanation: [tex]\frac{-4+p}{5} = 16[/tex]
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be
sure to include units.
The mass of Jupiter can be written as 1.898 130 ×[tex]10^{6}[/tex] where 6 is a one-digit whole number which can be used to write Jupiter's mass using a one-digit whole number times a power of 10.
The powers mean the exponential powers
Jupiter is the fifth and the largest planet in the Solar System.
The mass of Jupiter has been calculated to be 1.9 × [tex]10^{27}[/tex] kg
or this can be written as 1 898 130 yottagrams
A unit of mass equal to 1,000,000,000,000,000,000,000,000 grams. Symbol: Yg.
1 898 130 can also be written as 1.898 130 ×[tex]10^{6}[/tex] Yg
6 is a one-digit whole number that can be used to write Jupiter's mass using a one-digit whole number times a power of 10.
The unit is yottagram
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in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?
Answer: 1.43 meters
Step-by-step explanation:
subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record
what is the potential outlier in the population density data set? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Check the picture below.
let's noticed the distances from one to the next value in the dataset, let's notice the distance on the last one.
Show all working out
Step-by-step explanation:
yes and saved dollar cohocolate
Find a direct relationship between y and x.
x = t+1
y = t^2 - 2t
What is the Greatest common factor of 20, 36, and 76? Show your work
Answer:
To sum up, the gcf of 76 and 20 is 4. In common notation: gcf (76,20) = 4
Answer:
GCF = 4
Step-by-step explanation:
Expand each and find numbers that each has in common:
20 = 2 x 2 x 5
36 = 2 x 2 x 3 x 3
76= 2 x 2 x 19
Then: 2 x 2 = 4
Hope this helps!
What is the y-coordinate of the y-intercept of the parabola y=x^2+1
Answer:
-1/4 or -0.25
Step-by-step explanation:
use completing the square
hope this is right :)
Point P is located 3/5 of the way from point A to point E. Point A is located at (-1, -1) and point P is located
at (-7,5). What are the coordinates for point E?
By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).
How to determine the coordinates of the missing endpoint of a line segment
In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:
E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)] (1)
Where E(x, y) is the missing endpoint.
If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:
E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]
E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)
E(x, y) = (- 1, - 1) + (- 10, 10)
E(x, y) = (- 11, 9)
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cuánto es "3x+1=7+5x" ?
Answer:
-3
Step-by-step explanation:
3x+1=7+5x
-3x+1=7+-3x
1=7+2x
-7=-7+2x
-6=2x
-6/2=-3
-3=x
Determine the period.
Pls need help fast!! I'll give brainliest
Answer:
Your Answer should be A Alternate interior Angles
Answer:
I believe the answer to this alternate interior angles.
This is because they are formed from opposite's sides of transversal.
−3 Which is the correct graph for the compound inequality
The correct graph for the compound inequality is the third graph.
Graph of Inequality
From the question, we are to determine the correct graph to the given compound inequality
The given compound inequality is
-3 < x ≤ 4
This means
-3 < x and x ≤ 4
That is,
x > -3 and x ≤ 4
The graph of x > -3 will start at -3 on the number line without shading the circle and it will point in the right direction
The graph of x ≤ 4 will start at 4 on the number line, with the circle shaded, and it will point towards the left
Joining the two graphs, we will get a number line starting at -3, unshaded, and ending at 4 shaded.
Hence, the correct graph for the compound inequality is the third graph.
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(24d)
Part 1: Past Paper 3 H
Question No. 9:
Simplify (2x + 3)² − (2x + 3)(x - 5)
Give your answer in the form ax² +bx+c
what is the width of a parralleogram that has an area of 19.84 square feet and the length of 6.2 feet
The width of a parallelogram that has an area of 19.84 square feet and a length of 6.2 feet is 3.2 feet.
What do you mean by parallelogram?A unique variety of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal. The illustration displays a parallelogram ABCD with the coordinates AB II CD and AD II BC. Moreover, AB = CD and AD = BC.
There are many parallelogram-like shapes and items all around us, whether they be in the form of structures, tiles, or paper. Buildings: When constructing a lot of structures, parallelograms are kept in mind. Hamburg, Germany's Dockland Office Building is a well-known example of this in real life.
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15) Priscilla is doing squats in the weight room. She can currently squat 108 lbs, but she wants to be
able to squat at least 176 lbs. If her training lets her squat an additional 4 lbs each week, at least
how many weeks
Answer:
17 weeks
Step-by-step explanation:
She need to increase ( 176 - 108 ) = 68 pounds
68 pounds / (4 pounds/week) = 17 weeks
Help please this is missing i dont know what to doo
Sort the steps to complete the square.
Answer:
I hope this helps!
Step-by-step explanation:
Move the constant to the right side
Add [tex](\frac{b}{ 2a} )^{2}[/tex] to both sides
Rewrite as [tex]( x +\frac{b}{2a}) ^{2}[/tex]
Take the square root of both sides
Solve for x
a college instructor is interested to compare final exam scores for three different sections of a statistics course: an online section versus a hybrid section versus a face to face section. the final exam scores for a sample of students from each of these three course sections are provided in the attached dataset. the instructor is interested to know if there is a statistical difference in the average final exam scores for these three sections of a statistics course, or if the average test scores are statistically the same. the instructor has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.
The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.
How to compute the value?It should be noted that degree of freedom is calculated as:
= k - 1
where k = variable in a data
k = 3.
Degree of freedom = 3 - 1 = 2
The degree of freedom for numerator is 2.
The degree of freedom for denominator is:
n - k
= 70 - 3
= 67
The degree of freedom for denominator is 67.
Note that the complete question is attached.
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for a mid-day snack, theresa had one of her mother's fresh peanut butter cookies with a glass of whole milk. this snack has 400 calories, of which 234 kcalories came from fat. what percentage of total calories came from fat in theresa's snack?
Someone help me out I don’t know what I’m doing
Answer:
shesh
Step-by-step explanation:
Which pair of triangles can be proven congruent by the HL theorem?
2 right triangles have congruent hypotenuses.
2 triangles have one congruent angle and 2 congruent sides.
2 right triangles have congruent hypotenuses and another congruent side.
2 triangles have 3 congruent sides.
The pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.
What is the HL Theorem?The HL theorem is a triangle congruence theorem which states that two right triangles are congruent to each other, if the hypotenuse of one is congruent to the hypotenuse, and also if one leg of one right triangle is congruent to a corresponding leg in the other right triangle.
Thus, if two triangles are right triangles having a pair of congruent hypotenuses and another pair of congruent side, then they are congruent by the HL theorem.
In conclusion, the pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.
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recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
3 and StartFraction 1 Over 12 EndFractioncups
3 and one-fourthcups
3 and StartFraction 5 Over 12 EndFractioncups
3 and StartFraction 11 Over 12 EndFractioncups
The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups
How to calculate the fraction?The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:
= 3 2/3 - 1/4
= 3 8/12 - 3/12
= 3 5/12
Therefore, the correct option is C.
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SA
3)
Which expression is equivalent to (5-2)5 x 5¹ ?
A
512
B 57
C
1
5.40
Answer:
I'm not sure if i'm doing this right, but I got 75
Step-by-step explanation:
(5-2)5*5^1 = 75