Which theorem or postulate could be used to prove the congruence of the triangles?
Answers
REASON: You have 2 angles and a side given. Because the angles are positioned next to each other, it’s AAS
The third congruent side is not included the side of angles thus it will be congruent by the AAS rule thus option (B) is correct.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
As per the given two triangles,
The two angles are congruent.
The sides which are congruent in both triangles are not the common side of angles or not included in the side of angles thus it will be AAS congruency.
Hence "The third congruent side is not included the side of angles thus it will be congruent by the AAS rule".
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Related Questions
y=5x+2
4x−y=0
Is (2,12)(2,12)left parenthesis, 2, comma, 12, right parenthesis a solution of the system?
Answers
The solution to the given system of linear equations is x = -2 and y = -8. That is, (-2, -8).
Solving system of linear equationsFrom the question, we are to determine the solution to the given system of linear equations.
The given system of linear equations is
y = 5x + 2 ---------- (1)
4x - y = 0 ---------- (2)
Substitute equation (1) into equation (2)
4x - y = 0
4x - (5x + 2) = 0
4x - 5x -2 = 0
-x -2 = 0
-2 = x
x = -2
Substitute the value of x into equation (1)
y = 5x+ 2
y = 5(-2) + 2
y = -10 + 2
y = -8
Hence, the solution is x = -2 and y = -8
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Negative ten is no less than two times a number plus 14
Answers
The expression is -10 > 2x+ 14.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Negative ten is no less than two times a number plus 14
let the number x
so, two times a number plus 14
= 2x+ 14
and, Negative ten is no less than two times a number plus 14
-10 > 2x+ 14
hence, the expression is -10 > 2x+ 14.
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Order the following numbers from least to greatest.
Put the least value on the left.
Answers
Answer:
-5.2,-4.75,-9/2
Step-by-step explanation:
Answer:-5.2 -4.75 -9/2
Step-by-step explanation:
True or false :If an integer is negative, its absolute value is also its additive inverse.
Answers
The statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
In this question, we have been given a statement 'If an integer is negative, its absolute value is also its additive inverse.'
We know that for any non zero real number 'm', the additive inverse is '-m'
as m + (-m) = 0
We know that the absolute value of any non-zero real number is always positive.
Consider a negative integer -p.
The absolute value of -p is |-p| = p
We can observe that -p + p = 0
-p + |-p| = 0
Therefore, the statement 'If an integer is negative, its absolute value is also its additive inverse.' is True.
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What is the product of 18.5 • 0.31?
0.5735
5.730
5.735
57.35
Answers
Answer:
The answer is C 5.735
Step-by-step explanation:
I hope this helps!
what is the slope of the line that passes through the pair of points (3,8) and (8,5)
Answers
Answer:
The slope is -3/5=-0.6
Step-by-step explanation:
Slope: (5-8)/(8-3)= -3/5=-0.6
Answer:
[tex]m=-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Slope
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Step 2: Set up equation and solve for m
y₂ = 5y₁ = 8x₂ = 8x₁ = 3[tex]m=\frac{5-8}{8-3}=\frac{-3}{5}[/tex]92+78x96838-52/2? please help quick!
Answers
HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
HELP
Answers
Answer: 700x+1700
This represents the total amount spent over the x weeks that have gone by.
===========================================
Explanation:
x = number of weeks
700x = amount spent over those x weeks ($700 per week)
700x+1700 = total amount spent when adding on the $1700 tv.
------
An example:
Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.
Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.
I recommend trying out other values of x to get a better idea of what's going on.
What is the answer to this question
Answers
She bought 13 books in $58.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Let b represent the number of books.
So, the equation will be
5b - 7 = 58
Now, add 7 to both sides of the equation
5b = 65.
b = 13.
Thus, she bought 13 books at 5 dollars a piece.
After she gets a 7 dollar discount off of 65 dollars, so she paid a total of 58 dollars after the discount.
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Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to fat that is 5:3:2.
What percent of her diet is the protein?
Answers
Answer:
Step-by-step explanation:
33 percent of her diet is the protein
A bag of candy has several colors of candy. The ratio of red candies to the other colors of the candies is 2:5. If the bag has 350 candies in it, how many red candies are in the bag?
Answers
The number of red candies in the bag is 100 when the ratio of red candies to the other colors of the candies is 2:5 and the bag has 350 candies in it.
What is ratio?
The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent.
A ratio compares two numbers by division. A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake.
It is given that bag of candies has several colored candies. Further, the ratio of red candies to the other colors is 2:5.
Total number of candies in the bag = 350
Number of red candies = [tex]\frac{2}{7}[/tex] × 350 = 2×50 = 100
Number of other colored candies = 350 - 100 = 250
Hence, the number of red candies in the bag is 100.
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HELP ASPPP SHOW YOUR WORK PLEASE DO 6 AND 7 IF YOU LIKE
Answers
Answer: 7. 0 cause there is not a number next to the 3
-2 is the slope you distribute the -2 by the parenthese
Step-by-step explanation:
1. Margo can jump 58 times in 1 minute. About how many times can Margo jump in
5 minutes? (Show your work. Write your final answer on the line.)
2. Write the decimal number that the shaded portion of the model represents on the line.
Answers
Answer: 290
Step-by-step explanation:
58 x 5 = 290
Margo jumps 290 times in five minutes
Keystone Question: A lube gun dispenses the same amount of oil each time
it is used. The equation below shows the relationship between the number
of times (x) that oil is dispensed and the number of gallons of oil (y)
remaining in the gun. y = (-0.03125)x + 6 How many gallons of oil are in
the gun when it is full?
Answers
The amount of gallons of oil that are in the gun when it is full is 6 gallons , the correct option is (c) .
In the question ,
it is given that
A lube gun dispenses the same amount of oil each time , and
the equation is y = (-0.03125)x + 6
where , x is the number of times the oil is dispensed and
y is the number of gallons of oil remaining in the gun ,
when the gun is full , the number of times oil dispensed will be zero .
that is x = 0 ,
Substituting x = 0 in the given equation ,
we get ,
y = (-0.03125)(0) + 6
y = 0 + 6
y = 6
Therefore , The amount of gallons of oil that are in the gun when it is full is 6 gallons .
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The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -1/2x + 6. What is the point slope form of the equation for this line?
Answers
The point- slope of equation is y- 8 = -1/2 ( x+ 3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
line that passes through point (-3, 8)
and, line is y= -1/2 x + 6
From above equation the slope of line is -1/2
Now, the point slope form of line
y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])
y- 8 = -1/2 ( x - (-3))
y- 8 = -1/2 ( x+ 3)
Hence, the point- slope of equation is y- 8 = -1/2 ( x+ 3).
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answers
The option that must be true of triangle RST include:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
How to illustrate the triangle?From the information illustrated in the triangle, R > S + T. It should be noted that based on the information, one angle is more than the sum of the other two angles.
Sum of angles in a triangle = 180°
If an angle is 90°, the sum of the other two angles will be 90°.
Therefore, if R = 120°, it so greater than 90°. The correct options are illustrated above.
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Answer:
A, B, D and E
see picture
Step-by-step explanation:
for breakfast you eat a bowl of oatmeal and 1/4 cup of added raisins, for lunch, a turkey sandwich and a glass of fresh orange juice. how many servings of fruit and cereal have you had?
Answers
For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.
For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.
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Find the missing length indicated.
Answers
Answer:
5+5=10
Step-by-step explanation:
I am in need for answers please!
Answers
The y-intercept is y = 10, and that is the initial height of the flower in inches.
And the rate of change between n = 1 and n = 5 is:
R = 0.21
What is the y-intercept?For any function y = f(x), the y-intercept is the value that y takes when we evaluate in x = 0.
In this case, we have the exponential function:
g(n) = 10*(1.02)^n
Evaluating in n = 0 we get:
g(0) = 10*(1.02)^0 = 10*1 = 10
The y-intercept is y = 10, and it means that the initial height of the flower is 10 inches.
Now we want to get the average rate of change on the interval [1, 5].
Remember that for a function f(x) the average rate of change on an interval [a, b] is:
R= [ f(b) - f(a)]/(b - a)
In this case we will have:
R = [ g(5) - g(1)]/(5 - 1) = [g(5) - g(1)]/4
Where:
g(5) = 10*(1.02)^5 =11.041
g(1) = 10*(1.02) = 10.200
Replacing that:
R = [11.041 - 10.200]/4 = 0.21
This means that the plant increases about 0.21 inches per day on these 4 days.
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Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $5.60 per pound, and type B coffee costs $4.20 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $637.00. How many pounds of type A coffee were used?
Answers
Using system of equations to solve the problem, the coffee shop made use of a total of 91 pounds of blend A coffee for that month.
System Of EquationA system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
The equations in the system can be linear or non-linear.
In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Let;
x = Blend Ay = Blend B5.60x + 4.20y = 637... eq(i)
x = 3y ... eq(ii)
Solving equation (i) and (ii)
x = 91, y = 91/3
The Coffee shop used 91 pounds of blend A
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plsss solve these two questions I stuck hello meeeeeeee
Answers
Answer:
a) 0.566 b)8.62
Step-by-step explanation:
0.56565656...
4th number after decimal is 6, which is greater than 5. the value of 3rd number after dp goes up by 1
therefore 0.566
7×12%=0.84
7+0.84=7.84
7.84×10%=0.784
7.84+0.784=8.62
2(v + 13) = 14
How do you solve this two step equation?
Answers
Answer:
solving for v or your variable
v= -6
Step-by-step explanation:
distribute the 2 outside the parentheses to get: 2v + 26 = 14Then you would solve for your variable in this case, v by subtracting 26 to get 2v = -12then you divide by 2 to get v by itselfgetting:
v = -6
Jordan answered 69 questions on his test correctly. He answered 92% of the test questions correctly. How many questions were on the test?
Answers
92% = 69 questions
100% = 75 questions
The total number of questions on the test is 75 questions.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Total number of answers answered correctly = 69
The percentage of the test questions answered correctly = 92%
This means,
92% = 69
The total number of questions in percentage = 100%
Now,
92% = 69
Multiplying 100/92 on both sides.
100% = 100/92 x 69
100% = 75
Thus,
The total number of questions on the test is 75 questions.
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10-6x + 9x = x+2 solving variables
Answers
The required value of the variable x is - 4
What are variables ?A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
The given equation is :
10-6x + 9x = x+2
On solving this equation we get :
10 + 3x = x + 2
Subtract - 3x on both sides and we will get
10 = - 2 x + 2
Subtract 2 on both sides
we get
8 = -2x
On dividing both sides of the equation by 2 we get
x = - 4
Thus the required value of the variable x is - 4
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what are the solutions for IxI = 64
Answers
Answer: -64 and 64
Step-by-step explanation:
If Chan throws 20 darts that hit the dart board, how many should land in an odd number?
F. 20
G. 5
H.10
J.12
J.12 is incorrect … PLEASE HELP
Answers
Answer: The Answer Would be H because in the 20 darts there are 10 odd numbers 1,3,5,7,9,11,13,15,17,19
Step-by-step explanation: :)
8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?
Answers
If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that, 8 cows can graze a field in 28 days.
Suppose x is the number of days required to graze the same field.
A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,
6:x :: 14:28
x=(28×6) / 14
x=2 × 6
x=12 days
Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
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ABC right angled triangle In B whose AB= 6cm BC= 8cm find the hypothenuse AC
Answers
Answer:
10
Step-by-step explanation:
please help me I will give you brainiest please
+ 9 = 13
3 = 12
+ 5 − 9 = 0
2 + 5 = 17
5 − 3 = 17
− 3 = 1
7x = 35
[tex]\frac{4x}{4} =4[/tex]
3 + 4 = 15
8 + − 5 = 7
Answers
Answer:
Step-by-step explanation:
1 ) + 9 = 13
+ 9 ≠ 13
False
2 ) 3 = 12
3 ≠ 12
False
3 ) + 5 − 9 = 0
-4 ≠ 0
False
4 ) 2 + 5 = 17
7 ≠ 17
False
5 ) 5 − 3 = 17
2 ≠ 17
False
6 ) − 3 = 1
− 3 ≠ 1
False
7 ) 7x = 35
a ) Divide both sides by 7...
[tex]\frac{7x}{7} = \frac{7}{35}[/tex]
[tex]x = 5[/tex]
8 ) [tex]\frac{4x}{4}=\ 4[/tex]
a ) Multiply both sides by 4...
[tex]\frac{4x}{4}=\ 4[/tex]
[tex]\frac{4x}{4}[/tex] × [tex](4)=(4)[/tex] × [tex](4)[/tex]
[tex]4x=16[/tex]
b ) Divide both sides by 4...
[tex]\frac{4x}{4}= \frac{16}{4}[/tex]
[tex]x=4[/tex]
9 ) 3 + 4 = 15
7 ≠ 15
False
10 ) 8 + − 5 = 7
3 ≠ 7
False
Hope this helps! :)
What is a counterexample for the conjecture? if the area of a rectangle is 80 square units, the perimeter must be greater than 35. 9 units.
Answers
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
What is a conjecture?
A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.
The conjecture for the given question is:
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
Greater than → Lesser than or equal to
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