Answers
Answer:
Question 22: x = 3Question 23: AB = 10Question 24: BD = 14Question 25: CE = 17Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.
Solve:
Question 22. If AC = 16, what is x?
Given information
AC = 16
AB = x + 7
BC = 2x
Given expression deducted from the segment addition postulate
AB + BC = AC
Substitute values into the expression
x + 7 + 2x = 16
Combine like terms
x + 2x + 7 = 16
3x + 7 = 16
Subtract 7 on both sides
3x + 7 - 7 = 16 - 7
3x = 9
Divide 3 on both sides
3x / 3 = 9 / 3
[tex]\boxed {x=3}[/tex]
Question 23. What is AB?
Given information
x = 3
Given expression deducted from the segment addition postulate
AB = x + 7
Substitute values into the expression
AB = (3) + 7
[tex]\boxed {AB=10}[/tex]
Question 24. What is BD?
Given information
BC = 2x
CD = 3x - 1
x = 3
Given expression deducted from the segment addition postulate
BD = BC + CD
Substitute values into the expression
BD = 2x + 3x - 1
BD = 2(3) + 3(3) - 1
BD = 6 + 9 - 1
BD = 15 - 1
[tex]\boxed {BD=14}[/tex]
Question 25. What is CE?
Given information
CD = 3x - 1
DE = 2x + 3
x = 3
Given expression deducted from the segment addition postulate
CE = CD + DE
Substitute values into the expression
CE = 3x - 1 + 2x + 3
CE = 3(3) - 1 + 2(3) + 3
CE = 9 - 1 + 6 + 3
CE = 8 + 6 + 3
CE = 14 + 3
[tex]\boxed {CE=17}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units
Answers
Answer:
in this figure B: 32 square units
Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )
Answers
Answer:
mid point is (1, 8)
Step-by-step explanation:
[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]
x1 is 2
x2 is 0
y1 is 8
y2 is 8
[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]
Write down a multiple of 4 between 29 and 37 ?
Answers
Answer:
8 or 9
Step-by-step explanation:
4 times 8 equals 32, and 4 times 9 equals 36
Simplify: a(3+5a)-4(a2+5)
Answers
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
even numbers are closed under addition? true or false
Answers
Even numbers are closed under addition.
Answer: True
Answer:
Even numbers are closed under addition.
Answer: True
Step-by-step explanation:
The sum of two and four and six times eight?
Answers
Answer:
2+4 6(8)
Step-by-step explanation:
pls give brainliest
Answer:
2+4=6/6×8=48
hope this helped
once second I'm ggettin the question
Answers
Answer:
0.51
Step-by-step explanation:
-32÷(-61)
in this case the subtraction have to cancel themselves
so it'll remain
32÷61
=0.508
approximately ~=0.51
5. You are traveling along at 27 meters per second when you notice a stop light ahead, you deceleration to 0m/s
in 3 seconds. What is your acceleration?
Answers
Step-by-step explanation:
initial velocity= 27
final velocity= 0
time = 3 sec
now
a= 0-27/3
a=-9 m/s^2
y+5=3/2(x-7) write in y=mx+b form
Answers
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)
Answers
Answer:
O (6, -12)
Step-by-step explanation:
For 8x + 2y = 24, the point (6, -12) lies in the graph.
Based on the graph, is there an association between
eating a mint and getting a correct guess?
Does eating a mint affect a person's taste buds? To
answer this question, students were randomly placed
into two groups. One group had to eat a mint, and the
other did not. Then all the students were given a cup
that had one of two brands of ice tea. Students were
asked to guess which brand of ice tea they had. The
results are displayed below.
There is an association because the distribution of
correct guesses differs among the mint groups.
There is an association because the distribution of
correct guesses is the same among the mint groups
O There is no association because the distribution of
correct guesses differs among the mint groups.
O There is no association because the distribution of
correct guesses is the same among the mint groups.
Effect of Mints on Taste
100
Incorrect
Relative Frequency
50
Correct
Mark this and return
Save and Exit
Net
Submit
Answers
Answer: There is an association because the distribution of correct guesses is the same among the mint groups.
Step-by-step explanation:
We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.
Length of path for the above example
Answers
Answer:
D. 25.5 m
Step-by-step explanation:
5.5m+5.5m=11m
4.5m-1m= 3.5m
3.5m+3.5m=7m
The middle vertical path is 3.5m
the middle horizontal path is 5.5m-1.5m=4m
The sum of all is 25.5m
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
Answers
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
Urgent help please please please❤️Urgent
Answers
Answer:
Step-by-step explanation:
Remember:
[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]
[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]
[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]
[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]
Three tiles of thickness 20 mm, 17 mm and 8 mm are piled on the top of each other. What is the total thickness of pile in cm?
Answers
Answer:
4.5 cmStep-by-step explanation:
Givens: 20 mm, 17 mm and 8 mmOperations: Addition and DivisionSolutions: 20 + 17 + 8 = 45 mm45 mm ÷ 10 = 4.5 cmAnswer: 4.5 cm[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
order pair for x-3y=6
Answers
Answer:
X=6+3y
y=x-6/3
Step-by-step explanation:
1)x-3y+3y=6+3y
x=6+3y
2)3y+6=x
3y=x-6
y=x-6/3
What is the equation of the line that passes through the point ( − 4 , 8 )and has a slope of − 1/4
Answers
Answer:
y = -1/4x + 7
Step-by-step explanation:
Plug in the point and slope into y = mx + b, and solve for b:
y = mx + b
8 = -1/4(-4) + b
8 = 1 + b
7 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -1/4x + 7
So, the equation of the line is y = -1/4x + 7
Find the volume of this figure.
[?] = cubic units
Answers
36 cubic units
Step-by-step explanation:
V = l • w • h
V = 5 • 2 • 3
V = 30
V = l • w • h
V = 3 • 2 • 1
V = 6
30 + 6 = 36 cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
Learn more on volume of prism here: https://brainly.com/question/23963432
#SPJ6
1x
Identify the domain of the function.
A)
(-2,4)
B)
(-3,3)
[-2.4)
Answers
The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.
In the attached graph, you'll see this highlighted against the x-axis.
How far left does the graph go? How far right? Does it include the endpoints?
Is f(x)=x^4-x^2 even or odd
Answers
Explanation:
Since the exponent are both even and even number - even number = even number.
Ex: 2^4 - 2^2 = 16 - 4 = 12 which is an even number
Find the smallest value of k such that 525k is a perfect cube
Answers
Answer:
If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245
How do i solve this?
Answers
Answer:
1.-4
2.7
3.-11
4.18
5.13
Step-by-step explanation:
0-4=-4
-2+9=7
-2-9=-11
5+13=18
-10+23=13
Marsha earns $3.40 an hour plus $.20 for each unit produced. One week
she worked 40 hours and produced 280 units. What was her weekly wage?
a. $192
b. $56
c. $136
d. $144
Answers
Answer:
$192
Step-by-step explanation:
→ Set up equation
3.40h + 0.20u
→ Substitute in the numbers
( 3.40 × 40 ) + ( 0.20 × 280 )
→ Simplify
192
Answer:
192
Step-by-step explanation:
Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192
Mr. Thompson's sixth grade class is competing
Answers
Simplify the given expression. Assume x = 0
-2
20r-3
10x-1
2
4
Answers
Answer:
x⁴/4
Step-by-step explanation:
(20x‐³/10x‐1)‐²
= > 20/10 = 2
so = (2x-³/x-¹)-²
= (2/x²)-²....................(a/b)-²=(b/a)²
= (x²/2)²
= x⁴/2
smallest to largest. 14/5, 2.4, 2 1/3, 1.41
Answers
Step by Step: divide the numbers that are fractions.
14/5=2.8
2 1/3=2.33
After this, compare them all to each other to place them
Solve x2 = 144.
O 72
O 12
+12
O-12
Answers
Answer:
x = ±12
Step-by-step explanation:
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = ±12
Answer:
Choice 3
Step-by-step explanation:
[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.
Please someone help me.
Answers
Answer:
I will help
Step-by-step explanation:
brainliest to correct answer
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
I need the answer, please help!!!
Answers
Step-by-step explanation:
0.5 goes first
0.44 goes second
2/5 goes third
3/8 goes fourth