Which concept can be used to prove that the diagonals of a parallelogram bisect each other?
a)congruent triangles
b)similar triangles
c)congruent rectangles
d)similar rectangles
Answer: Jiren is too strong. (congruent triangles)
Answers
Hope I helped you :D
Answer:
Option: A is correct (congruent triangles)
Step-by-step explanation:
To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:
Angle DBA is congruent to angle BDC. Angle CMD is congruent to angle AMB. Triangle CMD is congruent to triangle AMB. Segment AM is congruent to segment MC. M is the midpoint of segment AC. Segment BD bisects segment AC. Segment BM is congruent to segment MD. M is the midpoint of segment BD. Segment AC bisects segment BD.Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.
Hence, option A is correct
Related Questions
What is the sum of the first eight terms of the series?
(−600)+(−300)+(−150)+(−75)+(−37.5)+...
Round the answer to two decimal places.
−1200.50
−1195.31
−1190.63
−1181.25
Answers
The given sequence is a geometric series.
Common ratio can be found as :
(-300/-600) = 0.5
(-150/-300) =0.5
So common ratio is 0.5
First term is -600
The attachment shows the required calculations.
Answer: Sum of eight terms is (-1195.31).
Which expression is equivalent to 6(2m – 1) – 4(m + 8)?
A. 8m – 38
B.8m + 7
C.2m – 38
D.8m + 31
Answers
12m-6 - 4m+32
8m+38 is the answer so thx and hope this helps and give me brainliest
Combine like terms which are 12m and 4m ,6 and 32.
12-4=8m
6+32=38
Final answer:
To find the equivalent expression to 6(2m - 1) - 4(m + 8), we first expand and simplify the given expression to 8m - 38, making option A the correct answer.
Explanation:
The question asks which expression is equivalent to 6(2m – 1) – 4(m + 8). To find the equivalent expression, we first expand both terms and then simplify the resulting expression.
First, distribute the 6 in the first expression: 12m - 6.Next, distribute the -4 in the second expression: -4m - 32.Combine like terms: (12m - 4m) + (-6 - 32) which simplifies to 8m - 38.Therefore, the expression that is equivalent to 6(2m – 1) – 4(m + 8) is 8m - 38, which corresponds to option A.
Which function represents a reflection of f(x) = 2(0.35)x over the y-axis? h(x) = 2(0.35)x h(x) = –2(0.35)x h(x) = 2(0.35)–x h(x) = 2(–0.35)–x
Answers
Answer:
Step-by-step explanation:
c
Choose the option that correctly completes the statement.
A triangle has a total of ______ exterior angles.
six
nine
three
Answers
Answer:
The correct option would be 6 exterior angles in a Triangle.
NEED HELP ASAP PLEASE HELP
Find m
Select one:
a. 120°
b. 100°
c. 90°
d. 80°
Answers
<DAE = 80
<EAC = 100
m must be somewhere, but I can't see it
WILL GIVE ABRAINLEST AND 50PTS
Which solution to the equation 3/a+2 + 2/a = 4a-4/a^2-4 is extraneous?
a= -2
a= -2 and a= 4
neither a= -2 and a= 4
a= 4
Answers
Answer:
a=-2 is extraneous solution.
Step-by-step explanation:
Given the equation
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]
we have to find the extraneous solution.
An extraneous solution is a solution to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}[/tex]
[tex]\frac{3}{a+2}+\frac{2}{a}=\frac{4a-4}{a^2-4}\\\\\frac{3a+2(a+2)}{a(a+2)}=\frac{4(a-1)}{a^2-4}\\\\\frac{5a+5}{a(a+2)}=\frac{4(a-1)}{a^2-4}[/tex]
On solving, we get
The solution is a=4 and a=-2
Here the solution a=-2 is the valid solution as it makes the denominator 0.
⇒ a=-2 is extraneous solution.
Option 1 is correct.
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?
Answers
2. you get r = c/2π
Answer:
r=C/2*pie
Step-by-step explanation:
I got it correct on TTM
what is the change of entropy for a heat engine using 500.0j at 20.0c
Answers
hope it helps :D!!
The formula to find change in entropy is given by :
[tex] Change in entropy = \frac{Q}{T} [/tex]
where Q is change in heat and T is temperature.
We are given Q = 500 joule and T = 20 degree C
Plugging these values in the formula,
[tex] Change in entropy = \frac{500}{20} [/tex]
We get change in entropy = 25 J/Celsius.
If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Answers
(x +4)*(x -5) +40 = x^2
x^2 -x -20 +40 = x^2
20 = x
The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.
The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of A' point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?
Answers
Answer:
The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).
Step-by-step explanation:
HELP!!! Which of the following is not a perfect square trinomial? A. 169 – 26y + y2 B. 81 + 18y + y2 C. 64 + 8y + y2 D. 25 + 10y + y2
Answers
A. 169-26y+y^2 can be factorised into (13-y)(13-y)
B. 81+18y+y^2 can be factorised into (9+y)(9+y)
C. 64+8y+y^2 cannot be factorised into double brackets
D. 25+10y+y^2 can be factorised into (5+y)(5+y)
Therefore your answer is the odd one out, C.
What happens to the area when the perimeter of square efgh efgh is doubled? explain.answers?
Answers
The area of EFGH will be multiplied by 4 if its perimeter is doubled.
_____
Original perimeter = s + s + s + s = 4s. Original area = s^2.
New perimeter = 2s + 2s + 2s + 2s = 8s. New area = (2s)^2 = 4s^2, 4 times the original area.
Triangle FGH is similar to JKM.
If f = 14.4 cm, g = 16.56 cm, h = 25.92 cm, and k = 9.2 cm, what is the measure of m?
A. 5.104 cm
B. 14.4 cm
C. 10.58 cm
D. 8 cm
Answers
so we can find the scale that FHG was dilated by.
[tex]16.56 \div 9.2 = 1.8[/tex]
so the sides of the triangle KMJ were multiplied by 1.8.
to find m :
[tex]25.92 \div 1.8 = 14.4[/tex]
m=14.4
hope this helps
Can someone please help me
I would appreciate it please.
I would mark brainliest if its right only.
(Explain)
(Not adding)
Answers
_________________________________________________
Explanation:
______________________________________________________
This is a rectangular prism.
The [lateral] surface area of a prism has 6 sides.
Every side of a rectangular prism has a "corresponding side" with the same [lateral] surface.
So, we take the [lateral] surface area of one side of the rectangular prism (i.e. "length * width" ) ; and multiply that by "2".
Then we take the [lateral] surface area another side [that is DIFFERENT from the (aforementioned 2 sides— i.e. "length * width)] ; and multiply that value by "2" .
Finally, we take the [lateral] surface area of another side [that is DIFFERENT from the (aforementioned 4 sides— i.e. "length * width)] ; and multiply that value by "2" .
Then, we add these values —the values of these "lateral surface areas"—together; to get the total [lateral] surface area of the entire rectangular prism.
As such:
2(9 cm * 6 cm) + 2(7 cm * 9cm) + 2(6cm *7cm) ;
= 2(54 cm²) + 2(63 cm²) + 2(42 cm²) ;
= 108 cm² + 126 cm² + 84 cm² ;
= 234 cm² + 84 cm² ;
= 318 cm² .
_____________________________________________
John Street Barber Shop pays $25 per month for water for the first 8,000 gallons and $3.50 per thousand gallons above 8,000. Calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons.
Answers
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3
We evaluate for:
For x = 7000:
y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000
y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000
y = 0.0035 * (13000) - 3
y = 42.5 $
Answer:
The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is:
21.5 $, 32 $, 42.5 $, respectively.
Final answer:
The John Street Barber Shop pays a flat rate of $25 for the first 8,000 gallons of water, with an additional charge of $3.50 per thousand gallons above this threshold. Accordingly, the total costs for using 7,000 gallons is $25, for 10,000 gallons is $32, and for 13,000 gallons is $42.50.
Explanation:
The John Street Barber Shop pays $25 per month for the first 8,000 gallons of water and $3.50 per thousand gallons above 8,000 gallons. To calculate the total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons, we follow this methodology:
For 7,000 gallons, since it's below 8,000 gallons, the cost is just the flat rate of $25.For 10,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 2,000 gallons above 8,000. This gives $25 + ($3.50 * 2) = $32.For 13,000 gallons, the cost is $25 for the first 8,000 gallons, plus $3.50 for each of the 5,000 gallons above 8,000. This gives $25 + ($3.50 * 5) = $42.50.Thus, the total costs for using 7,000 gallons, 10,000 gallons, and 13,000 gallons are $25, $32, and $42.50 respectively.
For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Figure 1)
a) The area is A = 36( π - 2) ст²
b) The perimeter is P = 6 (π + 2√2) [tex]cm^2[/tex]
Figure 2)
a) The area is A = 576 cm²
b) The perimeter is P = 24(π+2) [tex]cm^2[/tex]
Figure 1)
a) To find the area of the figure 1 we have to do the substraction
The area of figure 1 is equivalent to the area of a triangle less the area of a quarter circle.
The area of quarter circle is equal to
A = 2
we have
r = 12 cm
Put the value r as given
A = (12)2
A = 36 [tex]cm^2[/tex]
Area of a triangle formula is
A = (b)(h)
Given information,
b=12 cm
h = 12 cm
substitute
A = (12) (12)
A = 72 cm²
therefore
The area of the figure is
A = (36π - 72) [tex]cm^2[/tex]
Simplify
A = 36(π -2) [tex]cm^2[/tex]
b)
The perimeter of the figure 1 is equal to the circumference of a quarter circle plus the side AC of triangle
The perimeter of a quarter of circle is formula
C = 2πr
simplify
C = r
we have
r=12 cm
substitute
C = (12)
C = 67 cm
Find the length side AC
Applying the Pythagorean Theorem
[tex]AC^2 = 12^2 + 12^2[/tex]
[tex]AC^2 = 144+ 144\\AC^2 = 288\\AC = \sqrt{288}[/tex]
AC = 12√2 cm
P = (6π +12√2) cm
Taking 6 as a common multiplier we get
P = 6(π+2√2)
The perimeter of the figure 1 is
P = 6(π+2√2) cm
Part 2)
a) As we can see,
The area of a semicircle plus the area of a square less the area of a semicircle equals the area of figure 2.
The figure's area and the square's area are equal.
A = [tex]24^2[/tex]
A = 576 cm²
b) Find the perimeter of the figure 2
we know that
The perimeter of the figure 2 is equal to the length side AB plus the length side DC plus the circumference of two semicircles
The perimeter of the figure 2 is equal to two times the length side AB plus the circumference of one circle
P = 2(AB) + π D
P = 2(24) + π(24)
P = 48 + π(24)
Take out 24
P = 24 (2 + π ) cm
Find the midpoint of the line segment whose endpoints are (7,5) and (7,11)
Answers
Parts of Complex Numbers
z=4.1i+85
Re(z)=_____
Im(z)=_____
Answers
where a is the real number of z (Re z) while b is the imaginary part of z (im z)
Therefore in this case; z=4.1 i +85, therefore
Re(z) =85
Im(z) = 4.1
What is reconciling your bank statement?
Answers
Answer:
Compare your personal records to the bank's statement
Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answers
5x-3(2x+7)=2x+9
This is the equation and Raul had to solve it for x
So he started with simplifying the parenthesis first
To simplify the parenthesis -3 gets multiplied with 2x and 7 , to get rid of parenthesis
So it came out to be
5x-3(2x+7)=2x+9
STEP-1
5x-6x -21 = 2x+9 , So the STEP-1 is correct,
After this in Step -2 , he has combined the like terms on left side, the like terms are 5x and -6x , 5x-6x should combine to -x , because 5-6 = -1
So
STEP-2
-x -21 = 2x+9 , So STEP -2 is INCORRECT
So he made a mistake in STEP-2
After that subtract 2x from both sides
-3x -21 = 9
add 21 to both sides
-3x = 30
divide both sides by -3
x=-10
Hence Option B is correct , he made a mistake in STEP -2
What is the value of x?
Enter your answer, as a decimal, in the box.
Answers
Choose the best answer.
For a given distribution the average is 15.5 and the standard deviation is 1.5.
If a sample is taken at random, which value is most likely?
20.2
10.1
16.3
12.9
Answers
Answer:
The answer is 16.3
Step-by-step explanation:
For a random distribution with an specific mean and standard deviation, the most probable values are the ones that lie between the ( means + or - standard deviation)
so in this case, the confidence range is:
Low = 15.5-1.5= 14
High = 15.5+1.5= 17
Values that lie between this range are more probable. So in this case 16.3, which is the only value in this range, has higher chance of occuring.
factor the GCF: 15a+25b
Answers
The factored form of the expression 15a + 25b with respect to the Greatest Common Factor (GCF) is 5 (3a + 5b). The GCF of 15 and 25 is 5.
Explanation:To factor the Greatest Common Factor (GCF) from 15a + 25b, we first have to identify the GCF. The GCF of 15 and 25 is 5. Hence, we divide each term in the expression by this GCF.
We get: 5 (3a + 5b). So, the expression 15a + 25b factored by the GCF is 5 (3a + 5b).
Learn more about Factoring here:https://brainly.com/question/33624529
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which statement about sqrt x-5 minus sqrt x=5 true?
-3 is a true solution
-3 is a extraneous solution
9 is a true solution
9 is a extraneous solution
Answers
Answer:
9 is an extraneous solution.
Step-by-step explanation:
Extraneous solution is a solution that when plugged into the equation do not hold true.
Here we are given an algebraic equation in terms of single variable x as:
[tex]\sqrt{x-5}-\sqrt{x}=5-----(1)[/tex]
Now, we will solve this equation to obtain the solution as:
on squaring both side of the equation we obtain:
[tex](\sqrt{x-5}-\sqrt{x})^2=5^2[/tex]
[tex]x-5+x-2\sqrt{x-5}\sqrt{x}=25\\\\2x-5-2\sqrt{x-5}\sqrt{x}=25\\\\2x-30=2\sqrt{x-5}\sqrt{x}\\\\on\ dividing\ both\ side\ by\ 2\ we\ obtain:\\\\x-15=\sqrt{x-5}\sqrt{x}[/tex]
Again on squaring both side of the equation we obtain:
[tex]x^2+225-30x=(x-5)x\\\\\x^2+225-30x=x^2-5x\\\\225=-5x+30x\\\\225=25x\\\\x=9[/tex]
Now when we plug x=9 back to the original equation i.e. equation (1) we get:
[tex]\sqrt{9-5}-\sqrt{9}=5\\\\\sqrt{4}-\sqrt{9}=5\\\\2-3=5\\\\-1=5[/tex]
Hence, the equation does not hold true.
Hence, 9 is a extraneous solution
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. For example, if your solution is 12%, you would enter 0.12.
Answers
I=PRT
the interest rate that Diana earned will be found as follows:
I=$450
P=$3000
R=?
T=3 years
thus
450=3000×R×3
R=450/(3000×3)
R=0.05
the rate of interest is 0.05
Organize the following expressions from greatest to least by number of terms: x + 2xyz 9x2yz 18x2 + 5ab − 6y 4x3 + 3x2 − x − 4
Answers
Answer:
The answer is the option C
IV, III,I,II
Step-by-step explanation:
WILL GIVE BRAINLIEST!!! 12 POINTS!!!
Express the sequence given below as a recursively-defined function.
3, 11, 27, 59, 123
*u(0) = 3
u(n + 1) = u(n) + 8
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 2u(n) + 5
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 3u(n) + 2
for n = 0, 1, 2, ...
*u(0) = 3
u(n + 1) = 8u(n) + 1
for n = 0, 1, 2, ...
Answers
A recipe calls for 2/3 cup of water. You have a 1/6 cup measuring cup.
Which statements are true? Check all that apply.
The cup cannot be used to measure the amount of water needed.
2/3 can be rewritten as sixths.
Four full measuring cups are needed.
The numerator and denominator of 2/3 can be multiplied by 2 to get 4/6.
1/6 is equivalent to 2/3.
Answers
(2/3)=(2/2)*(2/3)=4/6
and (4/6)=4*(1/6)
the answer are
2/3 can be rewritten as sixths
Four full measuring cups are needed.
The numerator and denominator of 2/3 can be multiplied by 2 to get 4/6.
How many times would a coin have to show heads in 50 tosses to have an experimental probability of 20% more than the theoretical probability of getting heads? 10 25 35 45
Answers
Which expression is equivalent to 8+18a−2+6a? A.24a+6 B.24a + 10 C.8(1+2a)−(2+6a) D.30a
Answers
[tex]8 + 18a - 2 + 6a [/tex]
Combine Like terms: [tex]18a, 6a, \\ \\ 8,2 [/tex]
So, [tex](18a + 6a) = 24a \\ \\ 8+ (-2) = 6 [/tex]
[tex]Answer: 24a + 6 [/tex] would be [tex]equivalent [/tex] to: [tex]8 + 18a - 2 + 6a[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]