C is the midpoint of AB. D is the midpoint of AC. E is the midpoint of DC. If DE = x2 and CB = 3x2 + 3x, describe the relationship between DE and CB and find the length of AB. PLZ HELP!!
Answers
Please find illustration attached
Answer and explanation:
I have illustrated the bisection of the lines using a diagram so it's easier to solve length of AB
Comparing line DE and CB, we know that DE is half of line DC and DC is half of CB, because CB= AC
Therefore DE is a quarter of line CB because length of DE × 4 will be equal to CB
To find length of AB, we go from known to unknown
We know from what we are given that line AB has a midpoint C, CB in line AB = 3x²+3x
CB=AC because CB is half of line AB
Therefore line AB
=3x²+3x+3x²+3x
= 6x²+6x
Related Questions
E
2) Mrs. Anderson spent $305.70 at
Target. If the sales tax is 6%, what was
her final bill?
Answers
305.70 + 18.34 = 324.04
Solve the rational equation 2x+3/5=7/5
X=2
X=3.2
X=5
X=5.1
Answers
Answer:
x=0.4
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
Help me please!! I’ll mark as brilliant!!
Liam’s mass is 102.1 kg
Choose the best approximation of Liam’s mass
A. 1 x 10^1
B. 1 x 10^2
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg
Choose the best approximation of earth’s mass
A. 6 x 10^21
B. 6 x 10^24
Approximately how many times as large is earth’s mass as liam’s mass?
A. 6 x 10^20
B. 6 x 10^21
C. 6 x 10^22
Answers
The answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
1)
Liam's mass is 102.1.
To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.
i.e., decimal number 102.1 can be written as :
= 1.02 × 10² kg
because decimal place moved towards left by 2 places.
or
= 1 × 10² kg
2)
Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.
This can be written as :
= 5.97 × 10^24
or
= 6 × 10^24 kg
3)
The earth's mass is larger than Liam's mass by :
= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]
= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]
= 6 × [tex]10^{22}[/tex]
Therefore , the answers are :
1. Liam has approximated mass equal to 1 × 10² kg.
2. Earth has approximated mass equal to 6 × 10^24 kg
3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].
Learn more about algebra here :
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m< AED = 16y + 10. Find the value of y so that ED I AB.
Answers
Full question attached:
Answer and explanation:
To calculate y in the equation <AED=16y+10 we first find the value of angle AED from the diagram(attached)
From the diagram, we can see that <AED = 180 degrees given that <AED is angle on a straight line=180 degrees.
The line AB is therefore perpendicular to line ED
Hence we calculate y in the equation <AED= 16y+10
180= 16y+10
180-10=16y
16y=170
y=170/16
y= 10.625
What is 20000000 in standard form
Answers
Answer:
twenty million
Step-by-step explanation:
there are 7 zeros so the "20" part would be one number then there would be a comma and the 3 zeros and then another comma then the other 3 zeros
Find the area of the triangle 8 cm 15 cm
Answers
Answer:
60 cm squared
Step-by-step explanation:
area of a triangle is [tex]\frac{bh}{2}[/tex]
base and height are interchangable; 8 cm and 15 cm
[tex]\frac{8(15)}{2}[/tex]
[tex]\frac{120}{2}[/tex]
60
Determine the slope of the line that contains the given points
(1-7) (5-7)
Answers
Answer:
the answer is 4
Step-by-step explanation:
Rise/run
y2-y1/x2-x1
7-7/1/5
4
Answer:
0/4
Step-by-step explanation:
7/5 - 7/1
Making the answer become 4
Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?
a.
Use inconsistent scales on one or both axes.
b.
Reverse the x- and y-axes to obtain a more convincing graph.
c.
Comparing two sets of related data on the same graph for the sake of comparison.
d.
Begin the scale of one or both axes at a number other than zero without notifying the reader.
its C
Answers
Answer:
Answer C is right
Step-by-step explanation:
edg 2021 got it right, its c
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
What is graph?A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.
Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.
The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.
To solve more questions on graphs, visit the link below-
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PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Evaluate.
(−2)^6
Enter your answer in the box.
Answers
Answer:
-64
Step-by-step explanation:
I used a calculator lol.
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6
2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64
Hope this helps :D
Simplify this expression
[tex]2 \sqrt{5(13 + \sqrt{2)} } [/tex]
Answers
Answer:
16.9789
You can round the answer
Answer:
D. [tex]26\sqrt{5} + 2\sqrt{10}[/tex]
Step-by-step explanation:
[tex]2\sqrt{5}(13+\sqrt{2})\\ \\26\sqrt{5}+2\sqrt{5}*\sqrt{2}\\\\\\26\sqrt{5}+2\sqrt{5}*2\\\\26\sqrt{5}+2\sqrt{10}[/tex]
if you do it ill mark you brainly plz do it
Answers
Answer:
A
Step-by-step explanation:
To find the change, we do final-beggining
since his first rating is -7 and his final rating is -2
-2-(-7)
Help with evaluate and graph PLEASE HURRY
Answers
Answer:
Box 1 = -1
Box 2 = 8
Box 3 = 14
The opera theater manager believes that 23#% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 869869 tickets would differ from the population proportion by less than 3%3%
Answers
Answer:
0.9642
Step-by-step explanation:
Sample proportion p follows a Normal distribution with mean = p0 = 0.23 and Standard deviation = √P0(1 - P0) / n = √0.23(1-0.23) / 869 = 0.0143
Then Z = p - mean / Standard deviation = X - 0.23 / 0.01343
P(0.2<p<0.26) = P(p<0.26) - P(p<0.2)
= P(p-023/0.0143 < 0.26-0.23/0.0143) - P(p-0.23/0.0143 < 0.2-0.23/0.0143)
= P(Z < 2.1) - P(Z < -2.1)
= 0.9821 - 0.0179
= 0.9642
Write the ratio as a fraction in simplest form. A class has 8 boys and 14 girls. What is the ratio of boys to girls?
Answers
Answer:
4/7
Step-by-step explanation
8:14
8/14
4/7
So the answer is 4/7
2. Determine whether each table of values represents a linear function. If so write the function. If not, explain why.
Answers
Answer:
lemme think i will anwser
Step-by-step explanation:
A linear function has a constant rate of change.
Table N represents a linear function
From the complete question (see attachment), we have the following highlights
Table M has the same x-values for y-values 2 and -3For each increment in the x-values of table N, there is a constant increment in the y-values.The above highlights mean that:
Table M does not represent a linear function because it does not have a constant rateTable N represents a linear function because it has a constant rateRead more about linear functions at:
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write 6.085 in word form
Answers
triangle rst is congruent with VST is shown. given Line st is the perpendicular bisector of line RV prove triangle rst is congruent to triangle VST what is the missing reason in the proof
Answers
Answer:perpendicular bisector theorem
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Find the value x ?
(2x -10degree) (3x +20degree)
Answers
Answer:
If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2
(x^2)+24x+144=(9x^2)+120x+400
(8x^2)+96x+256=0
(x^2)+12x+32=0
(x+4)(x+8)=0
x= -4 or x= -8.
Else we have another method
x+12=3x+20
x+12–20=3x
x-8=3x,
Now square on both sides.
(x-8)^2=(3x)^2
x^2–16x+64=(9x^2)
(9x^2)-(x^2)+16x-64=0
(8x^2)+16x-64=0
(x^2)+2x-8=0
(x+4)(x-2)=0
x= -4 or x= 2.
But It Didn’t Satisfy for The Equation When
x=2 or x= -8,So The Value of x will be -4 which satisfies given question.
at the amusement park there were t shirts for sale for 18.95 each james bought 4 of them about how much did he spend??
Answers
Find the integers m and n such that (m+n√2)(1-√2)²=-2+2√2
Answers
m = n = 2 is the answer
Hope this helps
God bless
WHICH NUMBER MEANS THE SAME AS 2,000,000 + 70,000,000 + 6,000,000 +
300,000 + 40,000 + 2,000 + 100 +10 +7 ANSWER
Answers
78,342,117
Step-by-step explanation:
Just add! And yeah have a good day ^-^
Answer:im assuming we add them
Step-by-step explanation:
78342117
A class roll has 30 students listed in alphabetical order. Exactly 5 of those students received A's in the course. What is the probability that at least two people who were adjacent on the alphabetical list both received A's?
Answers
Answer:tony stark
Step-by-step explanation:shake it out west
Please I really need help
For both questions please
Answers
Answer:
2 is A, 3 is C
Step-by-step explanation:
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answers
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
Which statement is most likely to show a constant rate of change???
A. The outside temp compared with the time of day.
B. The cost of a new car compared with the number of tires it has.
C. The weight of a child compared with its age in months.
D.The distance traveled by a truck driving at a constant speed compared with time.
Answers
I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.
Noah is growing three different types of trees. He is keeping track of the height of each tree over time.
This equation represents the height (in feet) of the Tree #1 over m months: h=3.5m
The information is in the table is for Tree #2:
time (months) height of tree (feet)
2 5
4 10
5 12.5
8 20
This graph shows how long, in months, it takes Tree #3 to grow h feet.
A graph. Height, in feet. Time, in months.
Which tree is growing the slowest?
Answers
Answer:
Tree 3
Step-by-step explanation:
The equation for the height of tree 1 is given as:
h = 3.5m
The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\[/tex]
From the graph of tree 3, we get the points (2,4) and (4, 8)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\[/tex]
Therefore tree 3 grows the slowest
Square root of 24 using perfect squares
Answers
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
To know more about Perfect Square
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If LIAR is a parallelogram, what is the value of X?
R
A
377x+3)
(2x+3
O A. 42
O B. 20
O c. 71.5
O D. 35
O E. 82
O F. 38.
Answers
The answer is B) 20 .
37 + (7x + 3) = 180
7x = 180 - 37 - 3
7x = 140
x = 20
Therefore, x = 20.
Answer:
20
Step-by-step explanation:
On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.
Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall
Answers
Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
CH4 + O2 → CO2 + 2 H2O