Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
Carmen is given a parallelogram and is trying to prove that the opposite angles of a parallelogram are congruent. She draws a parallelogram and a diagonal as shown.Along with the definition of a parallelogram, which pair of reasons can Carmen use for her proof?
Angles theorem and Reflexive property of congurence
The solution is
Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
Now , AC is a diagonal of the parallelogram
According to the postulates of parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
And ,
From the figure , we can deduct that ΔABC ≅ ΔCDA by
Angle A is congruent to angle C, and angle D is congruent to angle B
So , from congruent triangle theorem ΔABC ≅ ΔCDA
And ,
∠B ≅ ∠D
Because Opposite angles are congruent of a parallelogram
Hence , Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
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Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k.
Answer:
[tex]x=k\pi[/tex] for any integer [tex]k[/tex]
Step-by-step explanation:
To solve the problem we must know about the sine function.
In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Given in the question :
[tex]y= sin(\pi)[/tex]What is the Value of Sine(kπ)?Among all the options given,
[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.
therefore, the value of [tex]sin(k\pi)[/tex] will always remains 0.
Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
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A veterinarian is trying to decide which website to use for her office. She gathers information on the customer ratings for each website and constructs a boxplot of each. There are the same number of ratings for each website. The results are shown in the following boxplots:
Based on these boxplots, which of the following is true?
The interquartile range for website A is greater than for website B.
The range for website B is greater than for website A.
The median ratings for the two websites are the same.
The interquartile ranges for the two websites are the same.
NO LINKS TO ANSWERS PLEASE ONLY RESPONSES BELOW QUESTION!!!
Based on the boxplots, it can be stated that the interquartile ranges for the two websites are the same.
This is so for the following reasons:
Website A has a range that goes between 10 and 65, that is, 55 points (65 - 10). Website B has a range that goes between 20 and 75, whose difference is also 55 (75 - 20).Learn more about maths in https://brainly.com/question/25811665
How many solutions does this system have?
y=2/3x + 32x - 3y = -9
A. One Solution
B. Two Solutions
C. No Solutions
D. Infinitely Many Solutions
Answer:
No solutions since they are two variables and it supposed to be solved simultaneously
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Name:
Grade & Section:
Date Submitted: 12/14/2021
Advent: Use it
Christmas: Open gifts under the tree left by Santa
Ordinary Time:
Lent: Celebrate Jesus.
Paschal Triduum: The Proper day to Celebrate Jesus
Easter: It is a Holiday where you celebrate a bunny and get candy.
Step-by-step explanation:
So is what you do here is you enter your Name, Grade & Section, and Date which i've already given you. So your assignment is about how you will participate in the seasonal activity. So Advent looks like it would be a Advent Calendar.
Christmas You wanna open gifts
Now I left Ordinary Time blank because you need to put what time you would regularly open gifts or if you do not celebrate Christmas put what time you'd like to open gifts at.
Lent: is where you celebrate Jesus and what he did on his time being on Earth.
Paschal Triduum is basically the same as Lent but it is the proper day you celebrate Jesus Which starts April 13 & Ends Saturday, April 16
Easter: Is where you usually get candy but it is in a hunt form
if the lines that comprise a system of equations have two different y-intercepts, is it possible that the system has infinitely many solutions?
Answer:
No, it is not possible.
Step-by-step explanation:
A system of linear equations with infinitely many solutions must meet at every single point. That means they have both the same y-intercept and the same slope. If either one of those are different, there cannot be infinitely many solutions.
Solve for x.
X/-6 =-7
Answer:
x=42
Step-by-step explanation:
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
I cannot figure this out. Any help would be appreciated.
Part A: Find the LCM of 7 and 8. Show your work. (3 points)
Part B: Find the GCF of 54 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 54 + 81 as an expression of two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show and explain your work.
Answer:
Part A:
LCM of 7 and 8 is 56.
7*8 = 56
-------------------------------------
Part B:
GCF of 54 and 81 is 27.
54: 1, 2, 3, 6, 9, 18, 27, 54.
81: 1, 3, 9, 27, 81.
-------------------------------------
Part C:
GCF of 54 and 81 is 27.
54 / 27 = 2
81 / 27 = 3
Final expression: 27(2 + 3)
Answer:
Part A: 56
Work:
7: 7, 14, 21, 28, 35, 42, 49, 56
8: 8, 16, 24, 32, 40, 48, 56, 64
Part B: 27
Work:
54: 54, 27, 9, 3, 1
81: 81, 27, 9, 3, 1
Part C: 27(2+3)
Work:
27×2 = 54
27×3 = 81
(27×2)+(27×3) = 54+81
(27×2)+(27×3)=27(2+3)
Explaining work:
First you find the numbers that multiply the GCF by to get the product (for 54 it is 2 and for 81 it is 3). Then you replace the the products with the equations (27×2) for 54 and (27×3) for 81 to get (27×2)+(27×3). Then simplify to get 27(2+3).
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
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Point Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q?
Point R is at (−40, 30), a distance of 60 units from point Q
Point R is at (−40, −10), a distance of 20 units from point Q
Point R is at (−40, −30), a distance of 60 units from point Q
Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
Point R is at (−40, −30), a distance of 60 units from point Q
Step-by-step explanation:
Correct option is ,
Point R is at (-40, 30) , a distance of 60 units from Point Q.
hope this answer helps you dear take care!
estimate the line of best fit using two points on the line
Answer:
[tex]y=-8x+80[/tex]
Step-by-step explanation:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]
[tex]y=mx+b[/tex]
[tex]y=-8x+b[/tex]
[tex]64=-8(2)+b[/tex]
[tex]64=-16+b[/tex]
[tex]80=b[/tex]
Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]
sub duplicate ratio of 16:9 is
The sub duplicate ratio of 16:9 is
4: 3
Sub duplicate ratiosThe sub-duplicate ratio is found by finding the square root of both the numerator and denominator
The given ratio is 16:9
Find the square root of 16
[tex] \sqrt{16} = 4[/tex]
Find the square root of 9
[tex] \sqrt{9} = 3[/tex]
Combining the two square roots that were found, the sub duplicate is:
[tex] \frac{4}{3} [/tex]
Therefore, the sub duplicate ratio of 16:9 is
4: 3
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Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford to rent the canoe?
Answer: x ≤ 10
Step-by-step explanation:
20 + 13x ≤ 150
13x ≤ 150 - 20
13x ≤ 130
x ≤ 130 ÷ 13
x ≤ 10
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
given the following measures of the side of triangles, which is a right triangle?
Answer:
Step-by-step explanation:
Essentially, we can use the pythagorean rule that:
a^2+b^2=c^2
c^2 resembles the hypotenuse, which is almost always the largest number. therefore, we simply have to find two which equal the largest side:
9^2+40^2=41^2
81+1600=1681
1681=1681
Based on this math, A is our right angle!
Hope this helps!
CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
in a right triangular prism the area of the Triangular base is 12 square centimeters the height of the prism is 7 cm what is the volume of the prism?
A) 60cm³
B) 84cm³
C) 72cm³
D) 98cm³
Answer:
84cm cubic.
Step-by-step explanation:
That is how it is done.Hope it will help.
X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a few days
The given equation
x/2 = y/3 = z/4
can be broken into three separate equations which I'll call equations (A), (B) and (C)
x/2 = y/3 ..... equation (A)y/3 = z/4 .... equation (B)x/2 = z/4 .... equation (C)We'll start off solving for z in equation (C)
x/2 = z/4
4x = 2z ... cross multiply
2z = 4x
z = 4x/2 ... divide both sides by 2
z = 2x
Now let's solve for y in equation (A)
x/2 = y/3
3x = 2y
2y = 3x
y = 3x/2
y = (3/2)x
y = 1.5x
The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.
We won't be using equation (B) at all.
---------------------
The key takeaway from the last section is that
z = 2xy = 1.5xLet's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:
(2x-y+5z)/(3y-x)
(2x-y+5(2x))/(3y-x) ..... plug in z = 2x
(2x-y+10x)/(3y-x)
(12x-y)/(3y-x)
(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x
(12x-1.5x)/(4.5x-x)
(10.5x)/(3.5x)
(10.5)/(3.5)
3
We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.
A copy machine makes 32 copies per minute. How long does it take to make 144 copies?
?????
please try looking at the picture :(( i’m really struggling so much!!
Answer:
4- true
5-true
6-false
7-false
8-true
9-true
Step-by-step explanation:
Follow the letters and the sign of congruence
≅
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?
Emika's monthly budget is $60.
A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.
Let Emika's cell phone bill budget be represented with x.
In order to determine his monthly budget, divide $60 by 120%
x = $60 / 120%
x = $60 / 1.20
x = $50
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Daniel runs at a pace of 8 miles in 60 minutes. What is his pace per mile?
Answer:
60/8 = 7.5 mins per mile
Step-by-step explanation:
WILL GOVE 50 POINTS AND BRAINLIEST PLZZZZZZZZZZZZZZZZZ HELP
Examine the diagram of a chloroplast.
Which choice best describes the function of the part labeled B?
enclosed space containing proteins used in ATP formation
membranes enclosing open space
layered stacks of membranes
fluid space that contains DNA, ribosomes, and other enzymes
Answer:
fluid space that contains DNA, ribosomes, and other enzymes
Step-by-step explanation:
B is points towards the "empty" space, meaning its Stroma.
Stroma defintion: involved in the synthesis of organic molecules from carbon dioxide and water or the fluid of the chloroplast surrounding the thylakoid membrane;
Let's look at the answer choices.
A. enclosed space containing proteins used in ATP formation
B. membranes enclosing open space
C. layered stacks of membranes
D. fluid space that contains DNA, ribosomes, and other enzymes
Obviously not C.
A is Synthase.
B is the whole thing.
It is D.
(BTW THIS IS MATH!! Not science!! Just in case you have more questions!)
Answer:
raw
Step-by-step explanation:
What do u get after dividing the sum of 352 and 698 by 5
Answer:
the answer to the question is 210
helppppppppp[pppppp[pppppppppp
Answer:A
Step-by-step explanation:i mean that sound logiclity correct
Can someone please help me with this one? :D ty!
2,000 Sorry That Was I Know #carryonlearning
Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened her account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?
The compounded interest is applied to the amount in the account at end
of a period specified in the rate of compounding.
The amount in the account at the end of 6 quarters is approximately $16,767.2Reasons:
The interest paid on the account = 4% compounding
Amount with which she opened the account = $10,000
Amount she makes as deposit at the end of each quarter = $1,000
Therefore;
The interest per quarter = 4% ÷ 4 = 1%
Amount in the account after the end first quarter, A₁, is therefore;
A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100
The amount in the second quarter, A₂, is given as follows;
A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211
A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11
A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411
A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511
At the end of the 6th quarter, we have;
A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991
The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2
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the function f(x)= (x-8) (x+2) (x+3) has which zeros
Answer:
(8, 0)
(-2, 0)
(-3, 0)
Step-by-step explanation:
x - 8 = 0
x = 8
x + 2 = 0
x = -2
x + 3 = 0
x = -3
[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]