Answers
Answer:
Triangle ABC is congruent to Triangle DCB because of SSS
Step-by-step explanation:
1.)AB congruent to DC because of given.
2.)BD congruent to CA because of Given
3.)We can say that BC congruent to CB because of Reflexive property.
4.)Triangle ABC is congruent to Triangle DCB because of SSS(1,2,3)
Related Questions
Suppose that the grade 7 student expected to sell between 100 and 150 hotdogs. How many packages of 12 wieners and 8 buns should the students buy if they don't want any leftovers ?Justify your answer .How many packages of each should they buy if they expect to sell more than 300 hotdogs.
Answers
Assuming that 1 wiener and 1 bun required to sell 1 hotdog.
Given that there are 12 wieners and 8 buns in 1 packet of each.
Let m be the minimum numbers of hotdogs for no leftover wieners or buns.
So, m must be a number which is divisible by both 12 as well as 8.
The smallest number which is the common multiple of both 12 as well as 8 is the highest common factor (H.C.F.) of 12 and 8 which is 24.
So, m=24
At this pint, note that 24 is the minimum number of hotdogs that students can sell with no leftover wieners or buns. For this, they need 2 packets of wieners and 3 packets of buns.
So, 1 m hotdogs required 2 packets of wieners and 3 packets of buns
But, here the number of hotdogs is between 100 and 150.
The next possible number of hotdog wit no leftover wieners or buns is 48 which is 2m, the next will be 3m, and so on.
In fact, any multiple of m will be divisible by 12 as well as 8, so there will not be any leftover wieners or buns.
So, 24n hotdogs require 2n packets of wieners and 3n packets of buns,
where n is a counting number.
Now, find the multiple of 24 in between 100 and 150,
The first multiple is 24x5=120
So, 120 hotdogs require 2x5=10 packets of wieners and 3x5=15 packets of buns
The second multiple is 24x6=144
So, 144 hotdogs require 2x6=12 packets of wieners and 3x6=18 packets of buns
If the students want to sell more than 300 hotdogs:
The minimum number which is multiple of 24 is 24x13=312, the next number is 24x14=336, and so on
For this n=13, 14, 15, ...
So, they need to buy 2n packets of wieners and 3n packets of buns to sell 24n packets of hotdogs for no leftover.
For the minimum number of 312 hot dogs, they need to buy 2x13=26 packets of wieners and 3x12=36 packets of buns.
in a salad with vegetables containing 50 calories dressing is added at 100 calories per ounce. The total number of calories can be represented by the equation f(x) = 100x +50. What is the reasonable range for the situation?
Answers
Answer:
Step-by-step explanation:
To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.
The minimum occur at when x = 0
f(0) = 100(0) +50.
f(0) = 50
Hence the minimum value of the calorie is 50.
The maximum value occur at f'(x)
f'(x) = 100
Hence the maximum value of the calorie is 100
Hence, the reasonable range for the situation is 50 ≤ x ≤ 100
30 POINTS!!
HELP ME PLZZ THIS IS DUE TOMRROW !!!
Answers
Answer:
Commutative property
Step-by-step explanation:
Juan read 300 pages in 5 days. Which reading rate is equivalent?
A.) 150 pages in 3 days
B. )120 pages in 2 days
C.) 105 pages in 1 day
D.) 100 pages in 3 days
Answers
Answer:
A: 150 pages in 3 days
Step-by-step explanation:
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answers
Answer:
The answer is B
Step-by-step explanation:
the cost at store b is 2.00 greater than store a
Answer: b is the answer
Step-by-step explanation:
Lionel walks 3/5 mile in 1/3 of a day. Cristiano walks 5/8 mile in 2/6 of a day.
Who walked farther, Cristiano or Lionel? How much did each boy walk in 1 day?
Answers
Answer:
Cristiano walked farther In 1 day: Lionel walked 1.8 mile Cristiano walked 1.875 mileStep-by-step explanation:
2/6 = 1/3 so we just need to know what is more 3/5 or 5/8
3/5 = (3•8)/(5•8) = 24/40
5/8 = (5•5)/(8•5) = 25/40
25 > 24 so 5/8 > 3/5
so Cristiano walked farther
They walk for 1/3 of a day so in a whole day they walk three times the distance
3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile
5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile
John's phone company offers 2 cell phone plans, A and B. Both plans offer 450 free minutes per month, but plan A charges $40 per month and $0.35 for each additional minute, while plan B charges $45 per month and $0.30 for each additional minute. Which inequality shows the number of minutes, x, that John may use in a month in order to make plan B the better plan for that month?
A.
40 + 0.35(x − 450) 45 + 0.30(x − 450)
D.
40 + 0.35x > 45 + 0.30x
Answers
Answer: 45 + 0.30(x-450) > 40 + 0.35(x-450)
Step-by-step explanation:
Given: Free minutes = 450
For plan A,
Fix charge = $40
Charge per minute after free minutes = $0.35
For plan B,
Fix charge = $45
Charge per minute after free minutes = $0.30
Let x be the additional minutes.
Charges according to plan A = 40 + 0.35(x-450)
Charges according to plan B = 45 + 0.30(x-450)
If plan B is better than plan A.
45 + 0.30(x-450) > 40 + 0.35(x-450)
Required inequality : 45 + 0.30(x-450) > 40 + 0.35(x-450)
An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreeze solution. How many quarts of antifreeze are currently in the radiator?
Answers
Answer:
3.6 quarts.
Step-by-step explanation:
just take 30% of 12 which is 3.6
(I just did the assignment and got 100, so dw.)
Find the inverse of the given function.
(f) = -5x-9
Answers
Answer:
x=-4
Step-by-step explanation:
Answer: -x+9/5
Step-by-step explanation:
I promise you your gonna have a bright future if u do this by the time u turn 21 and I'll even brainlist u (just do questions u know leave the ones u don't)
Answers
6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones
Answers
Answer:
62789
Step-by-step explanation:
proportions please help!
Answers
Answer:
[tex]\huge\boxed{x=-12}[/tex]
Step-by-step explanation:
In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.
Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.
[tex]5(x-9)=7(x-3)\\\\5x-45=7x-21[/tex]
Now we can solve for x.
Subtract 5x from both sides:
[tex]-45=2x-21[/tex]
Add 21 to both sides:
[tex]-24=2x[/tex]
Divide both sides by 2:
[tex]x = -12[/tex]
Hope this helped!
Answer:
[tex]x= -12[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]\frac{5}{x-3} =\frac{7}{x-9}[/tex]
Step 2: Solve for x
Cross multiply: [tex]5(x-9)=7(x-3)[/tex]Distribute: [tex]5x-45=7x-21[/tex]Subtract 5x on both sides: [tex]-45=2x-21[/tex]Add 21 to both sides: [tex]-24=2x[/tex]Divide both sides by 2: [tex]-12=x[/tex]Rewrite: [tex]x= -12[/tex]Step 3: Check
Plug in x to verify it's a solution.
[tex]\frac{5}{-12-3} =\frac{7}{-12-9}[/tex]
[tex]\frac{5}{-15} =\frac{7}{-21}[/tex]
[tex]\frac{-1}{3} =\frac{-1}{3}[/tex]
Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.
-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x
Answers
Answer:
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Below in bold
Step-by-step explanation:
-3(8x - 2) = 9 - 21x
~Divide -3 to everything
8x - 2 = -3 + 7x
~Add 3 to both sides
8x + 1 = 7x
~Subtract 8x to both sides
1 = -x
~Divide -1 to both sides
-1 = x
Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.
Best of Luck!
Miss Sally waited on a large party at the Chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, the tipped Miss Sally 20%. What amount did Miss Sally receive as her tip? Explain your answer.
Answers
Terry's mother combines 1.5 liter bottles of juice with two 0.25 liter cans of sparkling water to make punch. what is the total amount of punch that Terry's mother make?
Answers
Answer:
1.75 liters
Step-by-step explanation:
You would add 1.5 and 0.25 together and that would be the total.
Which mathematical property is demonstrated?
5x7x4=5x4x7
Answers
Answer:
Communitive Property of Multiplication
Explanation:
The communitive property means that you can switch the numbers in any order and you will get the same answer.
Make sure to rate!!! :)
Austin is building a shed based on blueprints he found online. The scale on the blueprints is 1 inch to 24 inches. If the shed’s window in the blueprints is 1.5 inches wide by 0.75 inches tall, what size window should he buy?
18 inches wide by 9 inches tall
24 inches wide by 12 inches tall
36 inches wide by 18 inches tall
60 inches wide by 36 inches tall
Answers
That means that the window would actually be 36 x 18
C is the correct answer
Stuck on these couple of questions could i get help??
Answers
Answer:
1=51 3=51
Step-by-step explanation:
So we know since the line are parlle that the angles for each would be idetical
so 6,8,2, and 4 would all have same angle of 129
to find the other angles we would subtract 180 (the degree of a stright line) from 129 getting 51
so now we know that angles 1,3,5 and 7 are 51 degrees
Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)
Answers
First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
\sqrt{\frac{V}{\pi h}}
Answers
Answer;
I if you dont have a question the dont
put random stuff like this but n Stot trying to be rude or mean im just saying what is needed to be said???
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Answers
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
It Is 0.8
Step-by-step explanation:
I took the quiz
When the function y=x is changed to y=|x|, how is the graph affected?
A. All points for x 0 are reflected over the line y=x.
B. All points for x 0 are reflected over the line y=x.
D. All points for x > 0 are reflected over the x-axis.
Answers
Answer:
First, the function:
y = x
Is:
Positive if x > 0
Negative if x < 0
Now, on another hand, the function y = IxI is:
Positive if x < 0
Positive if x > 0.
Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".
Then the correct option is:
"All points for x < 0 are reflected over the x-axis"
I suppose that this is option C, the missing one.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL MARK BRAINLISTTT
Answers
Answer:
Y=8
ST=31
RT=81
Step-by-step explanation:
;)
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
State whether the percent of change is a percent of increase
or a percent of decrease. Then find the percent of change. original: 60, new: 75
Answers
Answer:
it's a percent of increase
Luke's retirement party will cost $30 if he invites 6 guests. What is the maximum number of
guests there can be if Luke can afford to spend a total of $35 on his retirement party? Solve
using unit rates.
guests
Submit
Answers
Graph the Linear Function h(x) = -2x - 4
Answers
h(x)= -2x -4
Please answer correctly, work is optional.
Answers
Explanation. To find the area of a square, multiply the base and the height. Because it is a square, we know that these two numbers would have to be the same. Therefore, this number has a square root. To find it, find the sq root of 1.69. The answer is 1.3. To test this, multiply 1.3 by 1.3, you get 1.69.
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
5th grade=6
6th grade=4
7th grade=5
8th grade=3
Answers
Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
quick math question, please help^^
Answers
Answer:
x= 81
Step-by-step explanation:
see attached the solution
What is the approximate value of 8√ to the nearest tenth?
Answers
Answer:
10 definitely. I am right