Answer:
58
Step-by-step explanation:
The length of BD is 58 units.
What are properties of parallelogram?The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.
Given:
ED = 7x - 13 and BD = 16x - 38
So, the Diagonals of parallelogram bisect each other
BD = ED+ EB
16x - 38 = 2 ED { ED= EB}
16x - 38 = 2 (7x- 13)
16x - 38 = 14x - 26
2x = 12
x= 6
So, length of BD = 16(6) - 38 = 96- 38 = 58 units
Learn more about properties of parallelogram here:
https://brainly.com/question/26651476
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Emma's Pizza can make 12 pizzas in 40 minutes. How many pizzas can they make in 5 hours?
Answer:
90
Step-by-step explanation:
Change 5 hours to minutes. (5x60, and 300 minutes)
Divide 300 by 40. (7.5)
Then, multiply 7.5 by 12 (90)
Answer:
90 pizzas
Step-by-step explanation:
We know 5 hours = [tex]5\times60 = 300[/tex] minutes
If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.
Emma can make 12 pizzas in 40 minutes.
So she can make 6 pizzas in 20 minutes (in half time)
In 1 period she makes 6 pizzas.
In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)
Pls help I don’t understand
Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.
Need help with the correct answer please! Thank you. Which two triangles are congruent by the SSS Theorem? I picked D but that is the wrong answer.
Answer:
B
Step-by-step explanation:
RQ=TV
QS=VU
RS=TU
While proving that 2 triangles are congruent you have to consider the same side for both triangles.
The mistake you made was that you presumed that since both have equal sides they are equal,
In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.
B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched
Happy to help :)
If you need any more help, you can ask me
Solve for x and y simultaneously
Pls help me
Step-by-step explanation:
Are the roots equal or unequal
Perfect Parties, a party supplies store, always gets busy around graduation.
Currently, they have 3 orders: one for 500 balloons, one for 275 balloons,
and one for 125 balloons. Each balloon must be tied with a 5-foot-long
ribbon. How many yards of ribbon do they need for their current orders?
yards
Answer:
They will need 1500 yards of ribbon
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
Maths homework volumes anyone can help?
Answer:
1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......Step-by-step explanation:
look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5 c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearlyfind the length of x
urgent pls help.
Answer:
Step-by-step explanation:
the triangles are congruent and the factor is 1/2
x=8/2=4
What is AC?
А
А
D
5
B
Please answer quickly
Answer:
1 1/2
Step-by-step explanation:
Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?
Answer:
Difference in total payback = $5734.64
Step-by-step explanation:
Formula for the simple interest payout,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
P = Principal amount of loan
r = rate of interest (Annually)
t = Duration for the payment
Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]
= $13050
Total payable amount = 18000 + 13050
= $31050
Formula for the amount payable with compound interest,
Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]
Here, t = Duration of investment
r = rate of interest (Annual)
n = Number of compounding per year
Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]
= 18000(1.089)⁴
= $25315.36
Difference in total payback = $31050 - $25315.36
= $5734.64
If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.
» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m
Answer:
m = 60/6
60 = 6 x m
Step-by-step explanation:
I need help I'm confused
The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
15ft
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
Answer:
23
Step-by-step explanation:
The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23
What is the Interquartile range?An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.
The formula to calculate interquartile range is:
IQR = Q₃ - Q₁
where;
Q₃ is third quartile
Q₁ is first quartile
The given points when arranged in increasing order gives us:
13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27
Q₁ is the (n + 1)/4 terms = 3rd term.
Thus; Q₁ = 17
Q₃ is 3(n + 1)/4 term = 9th term.
Thus; Q₃ = 24
Then; IQR = 24 - 17
IQR = 7
The desired interquartile range should decrease by 1 point. Thus;
Desired IQR = 7 - 1 = 6.
To find the score of the 12th game, let us try 23 points as the score of the 12th game:
Thus;
Q₁ = 17.5
Q₃ = 23.5
IQR = 23.5 - 17.5
IQR = 6
Thus, required number of points is 23.
Read more about Interquartile Range at; https://brainly.com/question/3859769
Find the 7th term of the geometric progression which begins -6250, 1250, -250....
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]
Can some one plz help me
Answer:
Step-by-step explanation:
A is midpoint of DB
DA ≅ AB ------------------(I)
B is midpoint of AE
BE≅ AB ---------------(II)
From (I) & (II)
DA ≅ AB
∠D ≅ ∠E Given
CD ≅ CE {Sides opposite to equal angles are equal}
ΔCDA ≅ ΔCEB { S A S congruent}
Answer:
AB = BA reflexive property
AB = BE and DA = AB definition of midpoint
then DA = EB
CD = CE ΔCDE is isosceles
ΔCDA ≅ ΔCEB SAS
Step-by-step explanation:
I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.
Answer:
A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.
Step-by-step explanation:
find the length of missing side x
Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24
Step-by-step explanation:
If anyone can help I would really appreciate it!
Answer: y= 2/5 * x - 6
Step-by-step explanation:
y intercept
y= 2/5 x+b putting in the point 5,4
y=2/5 5+ b
4=10+b
b= -6
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven
Answer:
90%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Write 3-5 sentences about the process of the Difference of squares Factoring Method
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
Select all equations that match the solution for this equation: 5(x - 12) = 20
60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63
Answer:
The answer is x=16 so whatever the equations should look like it should be this:
Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
how do i put that on a line?please help me.
1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?
A cargo plane flew from the US across the Atlantic at 280 mph, and flew back to the US at 300
mph. Given that the first trip took two hours longer, how long was the return trip?
Answer:
Step-by-step explanation:
300t=280(t+2)
300t=280t+560
20t=560
t=28
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
If the surface area of a cube is 384 square inches, what is the length of each side
Answer:
There are six equal surfaces of a cube. Then,
384 / 6 = 64 sq in (the area of one surface)
The area of one surface of a cube will be equal to x*x (if we let the edge length be x)
x^2 = 64
x = 8 inch
Step-by-step explanation: