Your friend thinks that the triangles shown below are congruent by SAS. Is your friend​ correct? Explain.
Choose the correct answer below.
A.
​Yes, the figure indicates that two corresponding angles and their included side are all congruent.
B.
​No, the congruent sides are not the included sides.
C.
​No, the congruent angles are not the included angles.
D.
​Yes, the figure indicates that three corresponding sides are congruent.
E.
​No, the figure only indicates that two corresponding sides are​ congruent, not three as required by the SAS Postulate.
F.
​Yes, the figure indicates that two corresponding sides and their included angle are all congruent.

Your Friend Thinks That The Triangles Shown Below Are Congruent By SAS. Is Your Friend Correct? Explain.Choose

Answers

Answer 1

​Yes, the figure indicates that two corresponding angles and their included side are all congruent. Option A

What is the congruency?

We know that the term congruency can be used to refer to the triangles that are equivalent. For the triangles that are equivalent, we can see that there are some kind of relationship that binds the triangles together.

The kinds of congruency of the triangles that we may have are the following;

Angle Angle side

Side angle side

Side side side

Angle Side angle

If we look at the triangles that we have in the two images that have been conspicuously attached to the question that we are trying to attend to, it is clear that two triangles have similar sides and a similar included angle hence they are congruent by the theorem of SAS.

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Related Questions

What is the measure of ABC

Answers

Answer:

Step-by-step explanation:

find x

7x+10=2x+40+3x

2x=30

x=15

ABD = 7(15)+10 = 115

ABD + ABC =180

115+ABC=180

ABC=65

In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither.

Find probability that a student chosen at random has a cat or a dog.

Answers

The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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If point R is the greatest integer smaller than √51 on a number line, what is the value of point R?​

Answers

The value of R is 7 , we can find answer using concept of greatest integer and square root .

What is square root of a number ?

Square root , in mathematics , a factor of a number that , when multiplied by itself , returns the original number.

e.g. Square root of 9 are both 3 and -3.

Symbol = " √ "

In given que, we need to find greatest integer smaller than √51.

Root of 51 will not give exact integer value.

As we know root of 49 is 7 and root of 64 is 8.

And 51 lie between 49 and 64,

So, Square root of 51 will also lie between 7 and 8.

So, the greatest integer smaller than √51 will be 7.

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How to factor x^2-2x

Answers

Answer:

x(x-2)

Step-by-step explanation:

suppose a researcher plans to conduct a test of hypotheses at the 5% significance level. she designs her study to have power of 0.90 at a particular alternative value of the mean (parameter of interest). what is the probability the researcher will make a type i error?

Answers

The probability the researcher will make a type i error 0.10

The hypothesis testing, type I error involves rejecting true null hypothesis also referred to as 'false-positive' conclusion and type II error occurs when false null hypothesis is not rejected. It is also known as 'false negative' conclusion. And they are opposite to each other.

Here we have given that suppose a researcher plans to conduct a test of hypotheses at the 5% significance level. she designs her study to have power of 0.90 at a particular alternative value of the mean

And we need to find the probability the researcher will make a type i error

While looking into the given question,

We know that,

Significance level = 5%

alternative value of the mean = 0.90

Then the probability the researcher will make a type i error is calculated as,

mean = 1 - error

0.90 = 1 - error

=> error = 0.10

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identify the linear transformations from the list. group of answer choices is defined by . is defined by . is defined by . is defined by is defined by the derivative . is defined by

Answers

If f:RR, then Munkres' definition (f′(a) is a 11 matrix) is the definition of the derivative as it is presented in elementary calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

What is Derivative?

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value).

Calculus's core tool is the derivative. The velocity of an item, for instance, is the derivative of its position with respect to time; it quantifies how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable.

The function closest to that input value is best approximated linearly by the tangent line. Because of this, the derivative is

According to our question-

The linear mapping Dfa:RmRn that obeys limh0f(a+h)f(a)Dfa(h)h2=0 is typically used to compute the derivative (or "total derivative") of a function f:RmRn at some point aRm.

both are true. If f:RR, then Munkres' formulation (f′(a) is an 11 matrix) is the definition of the derivative as taught in introductory calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

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This is a two part question. For the first blank, type the letter associated with with
the correct graph of this system. For the second blank, type the correct solution to
the system in point notation: (x,y).
Let
f(x) = (x + 2)² +3
g( )=2x+6

Answers

Answer: c

Step-by-step explanation:

Find the probability of getting a tail on a coin and 4 on the dice, when a coin is tossed and a dice is thrown simultaneously​

Answers

Answer:  1/2Because:

P(tail) = Probability of getting a tail on the coin

P(tail)=1/2

P(4)=Probability of getting the number '4' on the dice.

P(4)=1/6

P(tail and 4)=Probability of getting tail on the coin and number '4' on the dice.

P(tail and 4)=p(tail multiply with 4)

P(tail and 4)= 1/2×1/6

P(trail and 4)=1/12

Hope this helps!

find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximum

Answers

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

[tex]\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}[/tex]

Now, differentiate P with respect to x, and we get,

[tex]\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}[/tex]

Solving the above equation to zero, we get,

[tex]\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}[/tex]

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

[tex]\begin{aligned}y&=108-36\\y&=72\end{aligned}[/tex]

Thus, the two positive numbers are 36 and 72.

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Solve the system of equations using substitution. 4x + 2y = 6 x = 2y + 4 (1, 1) (2, −1) (8, 2) (10, 3)

Answers

Solving the given equations using substitution method we get (x,y) as (2, -1) i.e option (2) is correct answer.

How to solve system of equation?

Substitution method

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Given: 4x + 2y = 6      --------- (1)

            x = 2y + 4        ----------(2)      

Put the value of x from the 2nd equation in the 1st equation

4(2y+4) +2y = 6

8y + 16 + 2y = 6

10y + 16 = 6

10y = 6-16

10y = -10

y = -1 --------------- (3)

put the value of y in the (2) from (3)

x = 2(-1) + 4

x = -2+4

x = 2

Therefore, its solution is (2, -1)

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Answer: B

Step-by-step explanation: Did the test

to make cranbeerry jam you need 12 cups of sugar for evey 16 cups of cranberris find the amount of sugar for 4 cups of cranberris

Answers

Answer: It takes 3 cups of sugar for 4 cups of cranberry

Step-by-step explanation:

12 cups of sugar, 16 cups of cranberry

Divide both numbers by 4

12/4=3

16/4=4

It takes 3 cups of sugar for 4 cups of cranberry

Which of the following ratios is used to determine one's debt-to-income? A. 20/28
B. 20/36
C. 28/30
D. 28/36

Answers

Answer:

d

Step-by-step explanation:

5x+2y-2z=-57
3x-10y-z=-11
Y=-2

Answers

First up is 5x+2y-2z=-57

5x+2y-2z=-57 /You gotta subtract 27 and 2z from both sides

5x+2y-2z- (2y-2z)=-57- (2y-2z) Then simplify-5x =-57-2y+2z

Then divide by both sides:

Answer is: x=-57-2y+2z / over 5

               

             

Find the value of x in the triangle shown below.
8
3

Answers

Answer:

The answer should be 8.

Step-by-step explanation:

-6x – 9y = 0
-24x = 36y
infinite
none
or one solution?

Answers

Answer:

No solution

Step-by-step explanation:

-6x - 9y = 0

-24x -36y = 0

Multiply the top equation by -4 and add that to the second equation

24x + 36y = -4

-24x - 36y = 0

0 + 0 = -4

0 ≠ -4  Since this is a false statement, the answer is no solution.

with one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. the abc electronics company has just manufactured 1200 write-rewrite cds, and 150 are defective. if 3 of these cds are randomly selected for testing, what is the probability that the entire batch will be accepted?

Answers

The probability that the entire batch will be accepted.

What is Acceptance Sampling?

Acceptance sampling is a statistical measure used in quality control. It allows a company to determine the quality of a batch of products by selecting a specified number for testing.

abc Electronics Company manufactured 1200 write-rewrite cds, and 150 are defective. Since 150 are defective, the number of write-rewrite cds that would be accepted is (1200 - 150 = 1050).

Since the items at selected without replacement, the number of write-rewrite cds will continue to decrease anytime a write-rewrite cds is taken out. For example if they are 1050 accepted write-rewrite cds if one is taken out they would then be 1049 accepted write-rewrite cds, and if another one is taken out they would be 1049 accepted write-rewrite cds and so on.

If 3 of these cds are randomly selected for testing without replacement,

The probability that the entire batch will be accepted

= (1050/1200) × (1049/1200) × (1048/1200) × (1047/1200)

= 0.8750 × 0.8742 × 0.8733 × 0.8725

=0.5828

The probability that the entire batch will be accepted is 0.5828 .

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The function h is defined by h (x) = 5x + 2 .

What is the value of h(8) ?
Responses

A) 30
B) 42
C) 38
D) 45

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

h(x) = 5x + 2, h(8)

h(8) = 5(8) + 2

h(8) = 40 + 2

h(8) = 42

Thus, The answer is 42

Expectation of Product of Random Variables Proof From the definition of the expected value, the expected value of the product of two random variables is E(X . Y) = EErr-r2 . P(X=Y =r2) where the sum is over all possible values of r1 and r2 that the variable X and Y can take on_ Using the definition above formally prove that if the events X = r1 and Y =r2 are independent (for any r1 and r2) , we have E(X . Y) = E(X) . E(Y). Now; if you have two random variables X and Y and Y=aI+c, show that if E[X2] # E[XJ? , then E(X . Y) # E(X) . E(Y). If you roll a die 6 times in a rOW what is the expected value of the product of the 6 outcomes?

Answers

Look to the photo and you will find the answers there ✔️

start from left to right

Suppose 3 friends each pay for a pair of socks and one 30-minutes jump. The jump costs $ 15.50 per person. If they spend a total of $ 60, then the equation 3(15.50 + x) = 60 can be used to find the cost x of the socks.

Answers

Answer:

Step-by-step explanation:

3(15.50 + x) = 60

46.5 + 3x = 60

3x = 60-46.5

x = 13.5/3

x = 4.5 or $4.50

determine which integers will make the inequailty 5x 6 < 2x 15 flase

Answers

The value of x (B) 5 makes the inequality 5x + 6 ≤ 2x + 15 FALSE.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.

So,  we have the inequality:

5x + 6 ≤ 2x + 15

Now put the given values and check as follows:

(A) -2

5x + 6 ≤ 2x + 15

-10 + 6 ≤ -4 + 15

-4 ≤ 11

TRUE

(B) 5

5x + 6 ≤ 2x + 15

25 + 6 ≤ 10 + 15

31 ≤ 25

Correct: 31 > 25

FALSE

Therefore, the value of x (B) 5 makes the inequality FALSE.

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Complete question:
Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.

a:{−2}

b:{5}

c:{2}

d:{−5}

there are 250 bricks used to build a wall that is 15 ft high. how many bricks will be used to bui;d a wall that is 75 ft high

Answers

If 250 bricks are used to build a wall of 15 ft high then, there is total 1250 bricks will be used to build a wall that is 75 ft high.

Proportion:

A proportion is an equation between two ratios or rates that is useful in solving for a single unknown.

We have given that,

It takes 250 bricks to build a 15 ft high wall. Let us consider x bricks , is needed for a 75 ft high wall, use the ratio given for a 15 ft high wall and equate it to the ratio for the unknown number of bricks for a 75-ft high wall.

In making proportions, make sure that the rate on one side has the same units as the rate on the other as shown :

x/75 = 250/15

=> 15 × x = 250 ×75

=> x = 250×75/15

=> x = 1250

Thus, it will take 1250 bricks to build a wall 75 feet high.

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Determine whether A and B are inverse matrices.

Answers

The matrices A and B are not inverse matrices

How to determine if the matrices are inverse matrices?

From the question, we have the following parameters that can be used in our computation:

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

[tex]B = \left[\begin{array}{cc}1&-1&-1&2\end{array}\right][/tex]

To determine if the matrices are inverse matrices, we simply calculate the inverse of matrix A and then make the comparison.

The matrix A is given as

[tex]A = \left[\begin{array}{cc}-2&-3&2&-2\end{array}\right][/tex]

Calculate the determinant of the matrix A

So, we have the following representation

|A| = -2 * -2 + 3 * 2

Evaluate the sum of products

|A| = 10

The inverse is then calculated as

[tex]A^{-1} = \frac 1{10} * \left[\begin{array}{cc}-2&3&-2&-2\end{array}\right][/tex]

Evaluate

[tex]A^{-1} = \left[\begin{array}{cc}-\frac 1{5}&\frac 3{10}&-\frac 1{5}&-\frac 1{5}\end{array}\right][/tex]

When compared to matrix B, both matrices are different

Hence, the matrices are not inverse matrices

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Find the area enclosed by the circle (x-2)^2 + y^2 = 4 and the line x = 3.

Answers

Step-by-step explanation:

(3-2)^2+y^2=4

(9-4)+y^2=2^2

the power of y and 2 should be cut now

5+y=2

5-2=y

3=y

y=3

:. the area of enclosed by a circle is 3 cm

Refer to the photo attached.

1. What is the area of the rectangle? Must show all work.
(7 points)

a. What is the formula for the area of the rectangle?


b. Find the length of the base. Round to the nearest tenth if needed.



c. Find the length of the height. Round to the nearest tenth if needed.




d. Find the area of the rectangle.

Answers

Answer:

a.  Area of rectangle: Length x Width or Base x height

b. The length of the base is 6

c. The height is 3

d. Area of the rectangle is 18

Step-by-step explanation:

a. Area of the rectangle formula is: L x W

b. We find the Length, which means we find the distance of the x; we see that to get from point A to point B the x change is 6, so the base is 6

c. We find the height, which means we find the distance of the y; we see that get from point B to point C, the y change by 3, so the height is 3

d. To find the area we take 6 times 3 = 18

Geometry-need help i dont get it

Answers

Answer:

z = 11

Step-by-step explanation:

To find the answer we need to set up an expression with the two values they gave us:

8z = z + 77

This works because side IJ is the same length as side JK. So, all we have to do is solve for z:

8z = z + 77

-z    - z

7z = 77

/7     /7

z = 11

A sports drinks recipe calls for 2 tablespoons of powder mix for every 12 ounces of water. how many can you make with 6 tablespoon and 36 ounces of water explain.

Answers

Answer: 3 sports drinks

Step-by-step explanation:

6 divde by 2= 3

36 divided by 12 =3

in other words

3x2=6

12x3=36

hope this helps

the formula would be used to find a) the first quartile of a data set using the inclusive method. b) the third quartile of a data set using the exclusive method. c) the first quartile of a data set using the exclusive method. d) the median of a data set using the inclusive method.

Answers

The given formula would be used to find the first quartile of a data set using the exclusive method.

What is quartile?

A quartile is a type of quantile used in statistics that divides the total number of data points into four roughly equal parts, or quarters. To compute quartiles, the data must be arranged from smallest to largest; therefore, quartiles are a type of order statistic.

The given formula is [tex]L_P = (n + 1)\frac{25}{100} \\[/tex]

This formula can also be written as,

[tex]R = (n + 1)\frac{25}{100}[/tex]

where 25 is the percentile of the data set.

So, the option (c) is correct.

The first quartile of a data set using the exclusive method.

Hence, the given formula would be used to find the first quartile of a data set using the exclusive method.

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if a carpenter wants to make sure that the corner of a room is square and measures 12 ft and 35 ft along the walls, how long should he make the diagonal?

Answers

On solving the provided question, we got to know that - carpenter should make the diagonals 37 ft

What are the diagonals?

A diagonal is a line connecting two vertices of a solid or polygon whose vertices do not share an edge in mathematics. The vertices of a shape are connected by oblique or sloping lines, which are known as diagonals. A horizontal shape with sides/edges, corners, and is called a diagonal.

We can answer this problem using Pythagoras' Theorem since the diagonal would turn the angle into a right angle.

[tex]12^2+35^2= d^2[/tex]

[tex]d^2 = 144 + 1225\\d^2 = 1369\\d = 37\\[/tex]

So, carpenter should make the diagonals 37 ft

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the graph below shows the solution to which system of inequalities?

Answers

Answer: The correct answer is C

Step-by-step explanation: Let's find each equation without any inequalities first. We have a dotted line at y = 1, so we can already remove A and B. Now, a dotted line represents exclusivity and hence; it should not include the = sign.

A. the non dashed line represents the greater than or less than sign. Since this line is on y = 2, A is the only correct answer! hope this makes sense

Please help⚠️⚠️ it’s about the measures

Answers

Answer:  m∠5 = 116°

Step-by-step explanation:

Because m∠4 and m∠6 are consecutive interior angles, then we know

         m∠4 + m∠6 = 180

(106 - y) + (3y - 10) = 180

   104 - y + 3x - 10 = 180

                96 + 2y = 180

                         2y = 84

                           y = 42

And also the m∠4 and m∠5 are alternate interior angles, we get:

m∠5 = m∠4 = 3y - 10

Since we also calculate what y is, we just plugin.

mm∠5 = m∠4 = 3(42) - 10 = 126 - 10 = 116

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In the section titled, "Biological Adaptation," the author writes, "Natural selection is a mechanism (the only mechanism) known to cause the evolution of adaptations, so many biologists would define an adaptation as a characteristic that has evolved by natural selection." Which of the following accurately demonstrates this principle in action?AA pride of lions enters an isolated valley accessible only via a hidden mountain escarpment. There the lions find optimal conditionsminimal competition and access to shade, water, and prey in copious amounts. Nearly every lion in the pride survives. Over the span of a decade, their numbers more than double.BAfter vaccination campaigns throughout the 19th and 20th centuries, the WHO certifies the eradication of smallpox in 1979. Smallpox is one of two infectious diseases to have been eradicated, the other being Rinderpest (cattle plague), which was declared eradicated in 2011.CBreeding backa process in which the deliberate selective breeding of domestic animals in an attempt to achieve an animal breed with a phenotype that resembles a wildtype ancestorallows a targeted animal population, usually one that is extinct, to be artificially rekindled.DA blowfish exhibits an adaptation that enables it to fill its stomach with air, making it less attractive to predators. As a result, this blowfish survives and reproduces. Its offspring exhibit the same adaptation. They, too, survive and reproduce in greater numbers than others of their kind.EDuring winter, when weather conditions are harsh and resources are scarce, the American black bear enters the state of hibernationa season of heterothermy characterized by low body temperature, slow breathing and heart rate, and low metabolic rate. why does the author mention her parents marriage a quilt of a country since the beginning of the industrial revolution, the increased flux of carbon into the atmosphere has been primarily due to . question 20 options: addition of fertilizers to the soil desertification addition of phosphate in detergents burning of fossil fuels deforestation Which of the following reactions is associated with the lattice energy of Li20 (AHlatt)? A. 2 Li*(g) + 02-(g)Li2O(s) B. 2 Lit(aq) + O2 (aq) Li2O(s) C. Li O(s) 2 Li(aq) + O2-(aq) D. Li2O(s) 2 Li*(g) + O2-g) E. 2 Li(s) + 1/2O2(g) Li2O(s) how did the compromise of 1850, the kansasnebraska act, and the dred scott decision seek to address the issue of slavery, and what was the effect of each of them on sectional conflicts?