Answers
Answer:
AC=44
Step-by-step explanation:
The value of AC is 12 unit.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
ABCD is a parallelogram.
And BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6.
The two diagonals bisect each other.
AC = AE + EC
AC = 2AE
AC = 8x-12
The diagonals of a parallelogram are equal.
So,
BD = AC
5x+3 = 8x-12
x = 3
So, AC = 12
Therefore, the AC is 12 unit.
To learn more about the parallelogram;
https://brainly.com/question/29133107
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Related Questions
Old Farmer MacDonald wants to build a pen to keep his chickens in. He has 36 meters of fence and plans to make a rectangular pen. Complete the chart to help Old MacDonald decide how to make his chicken pen so that he has the maximum area.
Answers
Answer:
2 = 18
4 = 9
6 = 6
8 = 4.5
10 = 3.6
12 = 3
14 = 2.57 (2.6 simplified)
16 = 2.25 (2.3 simplified)
Step-by-step explanation:
You can solve this by dividing 36 (the whole amount of meter of fences)
by each number of the length
area width
36 divided by 2 = 18
36 divided by 4 = 9
36 divided by 6 = 6
36 divided by 8 = 4.5
36 divided by 10 = 3.6
36 divided by 12 = 3
36 divided by 14 = 2.57 (2.6 simplified)
36 divided by 16 = 2.25 (2.3 simplified)
Corresponding sides of similar triangles are proportional.
True Or False
Answers
Answer:
TRUE
Step-by-step explanation:
By the definition of similar polygons, corresponding sides of corresponding triangles are in proportion.
please help due asap
Thanks
Answers
Answer:
D) AD=21
Step-by-step explanation:
QD=1/2 AQ
QD=1/2(14)
QD=7
AQ+QD=AD
AD=14+7
AD=21
Explanation:
PLEASE I NEED HELP!!!!Annika finished
of her run in
of an hour.
How long will her whole run take?
Less than 1 hour
More than 1 hour
Exactly 1 hour
Answers
Answer:
More than 1 hour . Cheers.
Step-by-step explanation:
1/4 x 4 = 1
1/2 x 4 = 2
2<1
Alex has 75 buttons. He gives 15 buttons to emma what percent of the button did Alex give to emma? just need help i don't understand what i need to do;-;
Answers
Answer:
So you have a total of 75 You give away 15So 15/75 to find the % So he gave away 20%What is the contra post I’ve of this conditional statement
Answers
Answer:
Option (2)
Step-by-step explanation:
Statement p → If an animal is an adult insect
Statement q → It has six legs
Contrapositive statement means: -q → -p
"If not q then not p"
Therefore, costrapositive statement of the given conditional statement will be,
If the animal does not have six legs, then it is not an adult insect.
Option (2) will be the answer.
X(x+1)=1 it’s quadratic equations
Answers
x2+x-1=0
then do the quadratic formula
u will get
X= 1.6180.... or X= -0.618033.
Arianna went running for 0.75 hours and ran 5.55 miles. What was her speed, in miles per hour, if Arianna
ran at the same speed for her whole run?
Answers
Answer:
7.4 miles per hour
Step-by-step explanation:
To find her speed in miles per hour, divide the amount of miles she ran by the number of hours:
5.55/0.75
= 7.4
So, her speed is 7.4 miles per hour
Choose the correct answer
1. ______is the ratio of 300 to 100.
a) 3 : 1 b) 1 : 3 c) 300 : 1 d) 100 : 3
2. If the weight of 20 books is 80Kg, then the weight of 1 book is..
a) 4 Kg b) 20 Kg c) 40 Kg d) 8 Kg
3. An equivalent ratio of 3 : 2 is
a) 3 : 4 b) 6 : 4 c) 9 : 4 d) 3 : 6
4. The middle terms of 3:15 = 21:105 are.
a) 3 and 15 b) 21 and 105 c) 3 and 21 d) 15 and 21
5. Which of the following is not proportional?
a) 8 : 4 :: 8 : 16 b) 4 : 8 :: 8 : 16 c) 16 : 8 :: 8 : 4 d) 8 : 16 :: 4 : 8
6. If two ratios are equal, then they are in ____________
7. The ratio of 20 boys to 15 girls is _____________
8. Express the following ratios in the simplest form.
a) 14 to 42 b) 56 to 80
9. Check whether the following are in proportion or not.
a) 4, 6, 8, 12. b) 15, 45, 5, 25.
10. If the cost of 6 cans of Juice is ₹ 210, then what will be the cost of 4 Juice?
11. Taniya earns ₹ 150,000 and saves ₹ 50,000. Find the ratio of
a) Her earning to her expenditure b) Her earning to her savings
12. Find the ratio of 15 cm to 2 meters.
Answers
Answer:
1) A, 2) A, 3) B, 4) D, 5) A, 6) proportion, 7) 4 : 3, 8) a) The simplest ratio of 14 : 42 is 1 : 3, b) The simplest ratio of 56 : 80 is 7 : 10, 9) a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units, b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series, 10) 4 cans of juice cost 140, 11) a) 3 : 2, b) 3 : 1, 12) The ratio of 15 centimeters to 2 meters is 3 : 40.
Step-by-step explanation:
1) The ratio is determined by following operation:
[tex]x = \frac{300}{100}[/tex]
[tex]x = \frac{3}{1}[/tex]
3 : 1 is the ratio of 300 to 100. (Answer: A)
2) The weight of 1 book is found by the total weight of books divided by the total amount of books, that is:
[tex]x = \frac{80\,kg}{20}[/tex]
[tex]x = 4\,kg[/tex]
The weight of 1 book is 4 kilograms. (Answer: A)
3) The equivalent ratio of 3 : 2 is found by multiplicating both numerator and denominator by a given positive number:
[tex]x = \frac{3\times 2}{2\times 2}[/tex]
[tex]x = \frac{9}{4}[/tex]
An equivalent ratio of 3 : 2 is 6 : 4. (Answer: B)
4) The middle terms of ratio correspond with the denominator of the ratio on the left and the numerator of the ratio on the right. Hence, the middle terms of 3 : 15 = 21 : 105 are 15 and 21. (Answer: D)
5) 8 : 4 is not proportional to 8 : 16, since both numerators and denominators are not multiplied by the same number. That is:
[tex]x = \frac{8\times 1}{4\times 4}[/tex]
[tex]x = \frac{8}{16}[/tex]
8 : 4 :: 8 : 16 is not proportional. (Answer: A)
6) If two ratios are equal, then they are in proportion. That is:
[tex]a \,:\,b \,::c\,:\,d[/tex], where [tex]r = \frac{c}{a} = \frac{d}{b}[/tex], [tex]\forall\,r > 0[/tex].
If two ratios are equal, then they are in proportion. (Answer: proportion)
7) The ratio of 20 boys to 15 girls is derived of 20 divided by 15 until a denominator of the least integer is found by simplifying the fraction:
[tex]\frac{20}{15} = \frac{4}{3}[/tex]
The ratio of 20 boys to 15 girls is 4 : 3. (Answer: 4 : 3)
8) Express the following ratios in the simplest form:
a) [tex]\frac{14}{42} = \frac{7}{21} = \frac{1}{3}[/tex].
The simplest ratio of 14 : 42 is 1 : 3.
b) [tex]\frac{56}{80} = \frac{28}{40} = \frac{14}{20} = \frac{7}{10}[/tex]
The simplest ratio of 56 : 80 is 7 : 10.
9) When a series is in proportion, it must be in increasing or decreasing order at constant rate.
a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units.
b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series.
10) We determine the cost of 4 cans of juice by simple rule of three:
[tex]x = \frac{4\,cans}{6\,cans}\times 210[/tex]
[tex]x = 140[/tex]
4 cans of juice cost 140.
11) a) The ratio of her earning to her expenditure is:
[tex]x = \frac{150000}{150000-50000}[/tex]
[tex]x = \frac{3}{2}[/tex]
The earning to expenditure ratio is 3 : 2.
b) The ratio of her earning to her savings is:
[tex]x = \frac{150000}{50000}[/tex]
[tex]x = 3[/tex]
The earning to savings ratio is 3 : 1.
12) 1 meter equals 100 centimeters. Then, the given ratio is:
[tex]x = \frac{15\,cm}{200\,cm}[/tex]
[tex]x = \frac{3}{40}[/tex]
The ratio of 15 centimeters to 2 meters is 3 : 40.
Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.
Answers
Answer:
I think is 280km :))))))
Answer:
Andre covered 280km.
Step-by-step explanation:
I would say make a proportion:
?= distance covered
4 - 160
7 - ?
Solve: 7×160÷4=280.
which of the following choices is a possible length for DF? 17 39 19
Answers
Answer:
39
Step-by-step explanation:
please help√√√:-) 1111
Answers
Answer: 1246 for the first and 1400 for the second
Step-by-step explanation:
find the value of v
Answers
Answer:
v = 38
Step-by-step explanation:
A parallelogram is a quadrilateral in which both sides are the same. That means that 2v is equal to v + 38, and you can solve this. You would get that 2v = v + 38, which means that v = 38.
Carson just got hired for a new job and will make $95,000 in his first year.
Carson was told that he can expect to get raises of $3,500 every year going
forward. How much money in salary would Carson make in his 14th year
working at this job?
Answers
Answer:
1450
Step-by-step explanation:
[tex]U_{1}=9500\\d=3500.\\n=14\\\\U_{n}=U_{1}+(n-1)d\\U_{n}=95000+(14-1)*3500\\\\U_{n}=140500\\[/tex]
Judy calls in a to-go order at the local pizzeria. She orders pizza for $1.75
per slice and a soda for $2.50.
Answers
Answer:
i think you want the total. it is $4.15
Step-by-step explanation:
I’d like some help with this question.
(Multiple choice)
Answers
Answer:
I think D
Step-by-step explanation:
You cant have negative numbers as radius
An average Smart TV costs $500. On Black Friday, the Smart TV goes on sale for $350. By what percent did the
TV go on sale?
Answers
Answer:
30%
Step-by-step explanation:
$500-$350=150
150/500 x 100
=30%
PLEASE HELP:
Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y.
A. x=3, y=4
B. x=7, y=8
C. x=4, y=3
D. x=8, y=7
Answers
Answer:
x=3, y=4
Step-by-step explanation:
Answer:
x=3 y=4
Step-by-step explanation:
What's the maximum amount of money you should spend on a Modern Art painting worth 30k if you had to pay 15% tax?
Answers
Answer:
Tax would be 4500$
Step-by-step explanation:
15/100 = x/30000
Do 15 x 30000 = 450000
then divide 450000 by 100 = 4500
please help meeeeeeee
Answers
Answer:
y = -1/2x + 1Step-by-step explanation:
Slope-intercept form:
y = mx + bUse two of the ordered pairs and find the slope:
m = (1-2)/(0-(-2)) = -1/2y-intercept is 1 as point (0, 1) is given in the table:
b = 1The line is:
y = -1/2x + 12(10) + 2(x - 4) please help.
Answers
Answer:
MARK ME AS A BRAINLIST AND FOLLOW ME10. Which of the following describes two
triangles that are similar to one another?
Answers
Answer:
It's d
Step-by-step explanation:
i did it and got it right
Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books should Jeff order?
Answers
Answer:
73
Step-by-step explanation:
you write 12 instead of b
Answer:
73
Step-by-step explanation:
Hope this helped!
A new car is purchased for $42,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $5,800?
Answers
Answer:
t=20
Step-by-step explanation:
delta math blessed.
Answer:
t=20
Step-by-step explanation:
I do not have one, I apologise.
12 años 3 horas y 5 dias cuantos minutos son. respuestas rapido plis
Answers
Answer:
¡Hay 6311385.2 minutos en 12 años, 5 días y 3 horas!
Step-by-step explanation:
Espero que esto te ayude y que tengas un gran día.
What is the median age of presidents at inauguration shown in the diagram?*
1 point
Age At Inauguration
Age
President
William Howard Taft 51
Zachary Taylor 64
John Adams
61
James Madison 57
Woodrow Wilson 56
Thomas Jefferson 57
Andrew Johnson 56
Bill Clinton
46
Rutherford B Hayes 54
054
Yo
Answers
Answer:
55Step-by-step explanation:
As per given diagram we have:
The greatest value = 64The smallest value = 46Median age is:
(64 + 46)/2 = 110/2 = 55Which angle has its terminal side on the negative x axis? Pls answer soon
Answers
Answer:
d-pi radians
Step-by-step explanation:
Answer:
Pi- radiants
Step-by-step explanation:
a shipwreck lies 125 below sea level
Answers
Answer:
-125
Step-by-step explanation:
I NEED HELP
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2,7,12,...
Answers
Answer:
Arthmetic, it is a 5 difference
Step-by-step explanation:
Brainliest pls
Find the given trigonometric ratio in the problem below.
Answers
Answer:
tan c would be 20/21, and that can't be further simplified. tan is opposite/adjacent, so that's why it's 20/21.
