Yes, Giselle's statement is always true, she can draw a congruent triangle with the help of two sides and one angle, this rule of congruence is called the SAS property of congruency.
Giselle can create the precise triangle if Bianca gives her two sides and one angle.
Both triangles will now be congruent by SAS (side angle side) congruency.
Giselle's claim will always be accurate according to the congruency theorem.
The acronym "SAS" stands for side, angle, and side, and it makes it apparent that if any two sides and one angle of two triangles are the same, then those triangles are said to be congruent with one another.
For instance, if the triangle ABC has dimensions of 2 cm by 3 cm by 6 cm and the triangle PQR has dimensions of 4 cm by 3 cm by 6 cm and has an angle of 75 degrees, both of these triangles will be regarded as congruent triangles by the SAS theorem.
Simply put, two triangles are said to be congruent if their two sides and one angle are similar to those of another triangle.
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crenshaw schools.org bookmarks R Welcome
4-7: Practice Buddy: Independent Practice; Problem Solving
Due 10/21/22 11:39,
Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5. Predict whether
his last drawing was shorter, the same as, or taller than his first drawing Check the prediction by finding the height of the last drawing
CP
prediction by finding the height of the last drawing the same as,
0.5×1.5 =0.75
, the same as,
What is basic algebra ?Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.
Given that : Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5.
Caleb drew a picture of a building that is 4.4 inches tall.
he multiplied its height by 0.5.
4.4×0.5 =2.2
The second drawing was too short,
so he multiplied its height by 1.5.
0.5×1.5 =0.75
, the same as,
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The parking garage at the airport has 500 parking spaces. 36% of the spaces are empty. How many empty spaces are there in the parking garage?
write 2/8 in lowest terms
Answer: 1/4
Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.
GCF: The greatest number that is a factor shared by both numbers. This number will evenly divide into both the numerator and denominator in this case.
Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.
Factors of Numerator (2): 1, 2
Factors of Denominator (8) : 1, 2, 4, 8
both the numerator and denominator have a factor of 2 which is the GCF1. Divide both numerator and denominator by GCF
2 ÷ 2 = 18 ÷ 2 = 4Therefore, the lowest term would be [tex]\frac{1}{4}[/tex]
Answer:
1/4
Step-by-step explanation:
We divide both of the numbers by the Greatest Common Factor (GCF) , which is 2.
2 ÷ 2 = 1
8 ÷ 2 = 4
The answer is 1/4.
Hope this helps!
Btw, could I get a Brainliest? Thanks!
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.
Which function is the inverse of f(x) = 2x + 323ƒ^²^²(x) = -1/1/2ƒ^²(x) = 1/2 x - 1²/20Of¹(x) = -2x + 3Of(x)=2x+3
Given: A function F(x)=2x+3 is given.
Find: inverse of a function.
Explanation:
[tex]\begin{gathered} f(x)=2x+3 \\ y=2x+3 \\ x=2y+3 \\ y=\frac{x-3}{2} \\ f^{-1}(x)=\frac{x}{2}-\frac{3}{2} \end{gathered}[/tex]Final answer: the required inverse of f(x) is
[tex]\frac{x}{2}-\frac{3}{2}[/tex]What ms the answer plss
Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Two friends, Sophia and Kaitlyn, live 54 miles apart. At 9 a.m., Sophia and Kaitlyn bike towards each other and meet somewhere along the route. Sophia bikes at 12.5 miles per hour and Kaitlyn bikes at 5.5 miles per hour. The table below shows the total distance traveled by the girls each hour. Kail At what time will the two girls meet? Time (hours): 1, 2 Distance (miles): 18, 36 A. 11 a.m B. 12 p.m. C. 1 p.m. D. 2 p.m.
Answer: B
Step-by-step explanation:
It takes Neil and Spencer the same amount of time to ride their bikes to school each day, though Neil lives farther away. This Saturday, they plan to study together at the library, which is the same distance from both of their houses. If their average speeds are consistent, who will get to the library in less time?
On mark's last test, the ratio of questions he answered correctly to questions he answered incorrectly was 12:7. if he answered 21 incorrectly, how many questions where on the test?
According to the ratio if he answered 36 questions correctly.
A ratio in mathematics shows how frequently one quantity occurs in another. For instance, if there were eight oranges and six lemons on a fruit plate, the ratio would be eight to six.
By dividing each number by the total of all the numbers' common factors, ratios can be reduced (much like fractions are).The fraction is said to be in its simplest form when the ratio's values are the smallest practicable integers.It is common to refer to the ratio's antecedents and consequent as A & B, respectively.We know that the given ratio is 12:7
let he answered x questions correctly and 21 question incorrectly
Therefore the ratio of correct answers to incorrect answers is given by
x : 21
Now 12:7 = x : 21
or, x = 36
Therefore he answered 36 questions correctly.
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Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
How many miles did Russell run each day after school?
The equation to find the number of miles Russel ran after school is
5 (2 + M) = 30
The number of miles Russel ran after school is 4 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of days ran = 5
Number of miles ran before school = 2 miles
Number of miles ran after school = M miles
Total miles ran at the end of the week = 30 miles
Now,
The equation to find the number of miles Russel ran after school.
5 (2 + M) = 30
The number of miles Russel ran after school.
5 (2 + M) = 30
2 + M = 30/5
2 + M = 6
M = 6 - 2
M = 4
Thus,
The equation to find the number of miles Russel ran after school is
5 (2 + M) = 30
The number of miles Russel ran after school is 4 miles.
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why is billy hungry?
Answer:
because he wont eat his veggies
Answer:mom didnt feed him
Step-by-step explanation:
Select the correct answer.Solomon is planning to recover a lampshade. How much fabric does he need?12 cm16 cm12 cmA. 912 cm²B. 2,304 cm²C. 768 cm²D. 1;056 cm²
Answer:
C - 768cm for Plato
Step-by-step explanation:
a club has 25 members. how many ways are there to choose four members of the club to serve on an executive committee?
There are 303600 ways to choose 4 members of the club to serve on an executive committee.
What is permutation and combination ?A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.
CalculationNo. of members = 25
We are supposed to find the no. of ways to choose a president, vice-president, secretary, and treasurer of the club
No. of posts = 4
The order matters here since each member will get different posts .
So, we will use permutation over here
formula - n P r = n! / (n-r)!
n = 25
r = 4
using calculator
25 P 4 = 303600
Hence there are 303600 ways to choose 4 members of the club to serve on an executive committee.
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when playing a board game, the number of spaces you move is decided by picking a number out of a hat. is the number of spaces you move random?
Yes, the number of spaces you move random.
What is random?As the term suggests, random numbers are random numbers, or random. Randomly selected from a set of numbers. All numbers within a given distribution are equally likely to be randomly selected.Unpredictable. \A tendency within a certain range. The numbers on these two dice are random, but always between 2 and 12. Another example: values {2.18, 2.17, 2.23, 1.82, 1.87, 2.02, 1.83} are random, but all close to 2.with no particular plan, purpose, or pattern.Randomly composed, composed, or read randomly selected passages from the book. having or being an element or event associated with a random process and having a certain probability of occurrence.To learn more about random from the given link :
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How many ounces of a 4% acid solution and how many ounces of a 10% acid solution must be mixed to make 24oz of a 6% acid solution
a = acid solution 4%
b = acid solution 10%
a + b = 24
0.04*a+0.1*b=0.06*24
a=24-b
0.04*(24-b) + 0.1*b = 1.44
0.96 - 0.04b + 0.1*b = 1.44
0.06*b = 0.48
b = 8 oz
a=24-b
a = 24 - 8
complete the statement for the graph of the domain of the function is
The domain of a function is all the values of x that is satisfied by the function.
• The domain of the function is, {x|x is all real numbers}
The range of a function is the set of all values of y that satisfies the function.
• The range of the function is ,{y | y is greater than zero}
• The graph is ,increasing, over the interval (0, ∞)
,• The graph is ,decreasing, over the interval (-∞, 0)
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
Responses
y−1=67(x−3)
y minus 1 equals fraction 6 over 7 end fraction left parenthesis x minus 3 right parenthesis
y+1=65(x+3)
y plus 1 equals fraction 6 over 5 end fraction left parenthesis x plus 3 right parenthesis
y+3=76(x+1)
y plus 3 equals fraction 7 over 6 end fraction left parenthesis x plus 1 right parenthesis
y+1=67(x+3)
Answer:
B, second response
Step-by-step explanation:
Answer:
The slope of a function is the process of finding the rate of change of the value y (dependent variable) of the function changes with respect to that of the variable x (independent variable). The slope itself describes the direction and steepness of the line.
the slope (m) is (5 - -1) / 4 --3 = 6/7
Putting in the equation:
y - y1 = (6/7)(x - x1)
putting, y1= -1, x1= -3
y - -1 = (6/7)( x - -3)
y + 1 = 6/7(x + 3)
Answer is the letter B
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Answer: B
K12 fr fr fr
Lanie has 33 total games downloaded on her phone and her laptop. Her laptop has 7 less than 3 times the number of games that are on her phone. How many games does Lanie have on her phone?
Enter your answer in the box.
games
The number of games in her phone is 10
What is an algebraic expression?An algebraic expression can simply be defined as an expression that is composed of terms, factors, some variables, coefficients and then constants.
They are also known to consist of some mathematical operations, which may include;
AdditionMultiplicationDivisionParenthesesBracketSubtraction, etcBased on the information given, we have;
Let the number of games in her phone be s
s + 3s - 7 = 33
collect like terms
4s = 40
Make 's' the subject
s = 40/4
s = 10 games
Hence. the number is 10
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esitmate the value of y when x=2.5
What are the missing angles
The missing angles are:
m∠1 = 62°
m∠2 = 48°
m∠3 = 86°
m∠4 = 46°
We know that vertical angles are always equal i.e.they are congruent angles.
So, m∠2 = 48°
Now, By Triangle Sum Theorem, the total of three interior angles of any triangle add up to 180°.
m∠1 + m∠2 + 70° = 180°
m∠1 + 48° + 70° = 180°
m∠1 = 180° - 118° = 62°
As m∠3 and 94° lie on a straight line, their sum would be 180°.
m∠3 = 180° - 94° = 86°
Again by Triangle Sum Theorem,
m∠3 + m∠4 + 48° = 180°
86° + m∠4 + 48° = 180°
m∠4 = 180° - 134°
m∠4 = 46°
Therefore, the missing angles are m∠1 = 62°, m∠2 = 48°, m∠3 = 86° and m∠4 = 46°.
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Hey, please help me graph them nowww please help
sophia, daphne, and charlie are all participating in a relay race to raise money for charity. first, sophia will run 2 miles. then, daphne will run 5 miles. finally, charlie will end the race by running 3 miles. what fraction of the race will daphne run?
The race will Daphne run by ratio 1/2.
What is relay race?
In a relay race, team members alternately complete different sections of the racecourse or carry out certain tasks. Both professional and amateur competitions are held in relay races. Running, orienteering, swimming, cross-country skiing, biathlon, and ice skating all frequently feature relay competitions.
As given Sophia, Daphne, and Charlie are all participating in a relay race to raise money for charity. First, Sophia will run 2 miles. then, Daphne will run 5 miles. finally, Charlie will end the race by running 3 miles.
The total distance of the race is, 2 + 5 + 3 = 10 miles.
So, Daphne will run the race by the ratio, [tex]\frac{5}{10} = \frac{1}{2}[/tex]
Therefore, the race will Daphne run by ratio 1/2.
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Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answer:
148cm^2
Hope this helps :))
The length of a rectangle
is two times the width of the rectangle.
The perimeter of the rectangle is 24 cm.
Draw the rectangle on the centimetre grid.
The diagram of the rectangle is attached where the length and the width are is 8cm and 4 cm
How to draw the rectangle?From the question, we have the following parameters that can be used in our computation:
The length of a rectangle is two times the width of the rectangle.The perimeter of the rectangle is 24 cm.The above parameters imply that
L = 2W
P = 2(L + W)
Where L represents the Length and W represents the width
The perimeter is given as 24
So, we have
2(L + W) = 24
So, we have
L + W = 12
Substitute L = 2W in L + W = 12
2W + W = 12
Evaluate
3W = 12
Divide by 3
W = 4
Substitute W = 4 in L = 2W
L = 2 * 4
Evaluate
L = 8
This means that the length of the rectangle is 8 cm and the width of the rectangle is 4 cm
See attachment for the rectangle
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Insert a graph of the line with slope 3/4 through the point (-7,-5).
The function of the graph with slope 3/4 and passing through point ( - 7, - 5) is 4y = 3x + 1.
We have, the slope of the graph as m = 3/4, and the graph passes through the point ( - 7, - 5 ).
The equation of the slope-intercept form of a line is given as:
y = mx + b where m is the slope and b is the y-intercept.
When the graph passes through ( - 7. - 5).
y = mx + b
- 5 = ( 3/4 ) × ( - 7 ) + b
- 5 = - 21/4 + b
Adding 21/4 on each side of the equation,
- 21/4 + b + 21/4 = - 5 + 21/4
b = ( - 20 + 21 )/4
b = 1/4
Therefore, the equation of the line is:
y = ( 3/4 )x + 1/4
Multiplying each side of the equation by 4,
4y = 3x + 1
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Pls help with the answer for the question given below
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.
What is meant by augmented matrices?An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).
The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.
Therefore, the correct answer is option A.
[tex]$\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$[/tex]
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Graph the equation.
y=4x^2+8x+7y=4x
2
+8x+7
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 4x² + 8x + 7
Now,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).
So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).
Therefore,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
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Distribute the monomial to the polynomial:
Please help, I'll give brainliest if it includes the steps. Tysm :))
[tex](6xy^{2}+4x^{2}y+7xy+8)(\frac{2}{3} x^{3}y^{2} )[/tex]
The required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
According to the question,
[tex]=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex]
Thus, the required polynomial is given as [tex]4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2[/tex].
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Bryers ice cream costs $2 per gallon . Turkey Hill ice cream costs $ 3 per gallon .Tanya bought a total of 10 gallons of ice cream for a party and spent a total of $25 set up a system of equations to find out how much of each brand of ice cream Tanya bought. Do not solve the system
Let's define the following variables.
x = the number of gallons of Bryers ice cream Tanya bought
y = the number of gallons of Turkish Hill ice cream Tanya bought
2x = total cost for the Bryers ice cream
3y = total cost for the Turkish Hill ice cream
Since Tanya bought a total of 10 gallons of ice cream for the party, then we can say that:
[tex]x+y=10[/tex]In addition, if the total cost that Tanya spent is $25, then we can say that:
[tex]2x+3y=25[/tex]The equations that we can get from the given problem are x + y = 10 and 2x + 3y = 25.
