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What does the missing angle in the triangle measure?

These thoughts show you that AAS theorem is straight extension of ASA theorem.

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Consider two triangles ΔABC and ΔA'B'C' .

If        m∠A = m∠A'

and   m∠B = m∠B'

         AB = A'B'

then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.

Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.

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Answer:  The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.

Step-by-step explanation:

This answer is correct I got it right on Edge 2022. The proof is down below.

Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.

As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)

Hope this helps someone. Good luck! :)

Answer:

Step-by-step explanation:

b+9≤2

Subtract 9 from both sides:

9+b≤2

subtract 9 on each side which will be -7

the answer will be b≤-7

Answer:

y = 97°

Explanation:

Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°

So following the rule:

A + C = 180°

y + 83° = 180°

y = 180° - 83°

y = 97°

Answer:

Inequality: 64+C[tex]\geq 120\\\\[/tex]

               - 64.       -64

We subtract to isolate variable

Solution: [tex]C\geq 56[/tex]

Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

The 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers.

Total number of volunteers = 36

Number of walls = 864

The number of walls each volunteer paint can be expressed as a fraction:

= 864/36

= 24

Thus, the 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

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Sorry, I think my answer to your question is wrong.

Answer:

9 dollars per hour

Step-by-step explanation:

We want to use a ratio to find the rate in dollars per hour

72 dollars / 8 hours

Simplify by dividing the top and bottom by 8

9 dollars / 1 hour

9 dollars per hour

Step-by-step explanation:

72$ Per 8 hours, is the same as getting 9$ per hour. How this is possible is simple, All you do when you get a question like this, is that you divide the dollars by the hour, minutes, seconds, etc.

Problem-Connection:

As from this Question we Have 72$ per 8 hours, so we divide 72/8 which results in 9. So Dan Earns 9$ Per Hour.

Answer:

Dan Earns 9$ Per hour.

Your welcome!

Brainly will be greatly appreciated!

Using the area of a sector formula, we get the area to be:

[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]

Answer:$440, 9

Step-by-step explanation:

The relationship between the number of the times eating out in the total budget represent a linear function.

"A linear functions are those whose graph is a straight line."

Given, I already spent $160 on groceries for the week.

Each time I eat out you will spend another $40.

Let, I eat 'x' times during vacation.

Therefore, the required function will be:

f(x) = 160 + 40x

Hence, the function is a linear function.

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Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:

On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).

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Answer:

A

Step-by-step explanation:

I took it

Answer:

132

Step-by-step explanation:

6 angles plug in for n

(n-2)*180

4*180

720 degrees in all

subtract all other angles

Answer:

y=3x-1

Step-by-step explanation:

#1

Take any two points

Slope

#2

Slope:-

Difference

Answer:

Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8

Part b current year is 8 dollars a bushel and previous year is 7 dollars

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

Answer:

Bella had 15 apples

Step-by-step explanation:

First, you see that Josh has 3 less than 2/3 of Bellas apples. If Josh has 7 apples you would add 3 to 7 which = 10. Assuming that 10 = 2/3 of Bellas apples, then you would subtract half of 10 and get 5. 1/3 = 5 apples. Lastly, you should do 5 * 3 which = 15. Bella had 15 apples.

The amount of the money borrowed is 864.941

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x   where r is the growth rate (interest rate)

So the equation can be written as

m=(1.04)^t

   Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.

plug the values into the equation

[tex]108=P(1.04)^3-P\\P=864.941[/tex]

Therefore the amount of the money borrowed is 864.941.

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The above Exponential function has the parent function to be F(x).

The difference between successive terms  is: 6, 18, 54, 162. These are known to be in the powers of 2 and therefore one can say that there is an exponential increase in the parent function.

The new function is said to g(x). Translating down by 4 means that the new y-values are 4 units lower and so the answer is that the f(x)/y-values will be decreased by 4.

Therefore, looking at the above, since g(x)=f(x)-4 one need to know the value of x, the new y-value is lower by 4 from the old one. This is the case only for  (1, 52) since the old function is (1, 13).

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When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.

Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.

From the given collected data we can find out number of times each number came when the dice is rolled.

Number of times 1 came=3

Number of times 2 came=1

Number of times 3 came=4

Number of times 4 came=1

Number of times 5 came=3

Number of times 6 came=2

The probabilities are in fraction form:

P(1)=3/14

P(2)=1/14

P(3)=4/14

P(4)=1/14

P(5)=3/14

P(6)=2/14

The probabilities in decimal form:

P(1)=0.21

P(2)=0.07

P(3)=0.28

P(4)=0.07

P(5)=0.21

P(6)=0.14

The probabilities in percentage:

P(1)=21%

P(2)=7%

P(3)=28%

P(4)=7%

P(5)=21%

P(6)=14%

Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.

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Answer:

23

Step-by-step explanation:

substitute x = 4 into the expression

5x + 3 = 5(4) + 3 = 20 + 3 = 23

Hii!

____________________________________________________________

Answer:

The value is 23 - Choice [C] ✅

Step-by-step explanation:

STICK IN the value of x.

5x+3

5·4+3

MULTIPLY 5·4

20+3

ADD

23

--

Hope that this helped! Best wishes.

--

Answer:

h

Step-by-step explanation:

h

View the answer in the Venn Diagram below.

A quadrilateral is a flat shape with four edges and four corners, also known as vertices. The quadrilateral has angles at each of its four vertices, or corners. The angles at the vertices of a quadrilateral ABCD are A, B, C, and D. A quadrilateral has the following sides: AB, BC, CD, and DA.

A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry.

A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

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Answer:

the answer are A and Y , B and X.

 A and X are two independent events  , Option A is the correct answer.

Probability is the likelihood of an event to happen

A two way table is given

The two events will be independent when

If A is the first event and B is the second event , then

P(A) = P(A|B)

Here the P(A) = 30/100 = 0.3

P(B) = 20/100 = 0.2

P(A|X) = 15/50 = 0.3

P(A) = P(A|X)

Therefore A and X are two independent events , Option A is the correct answer.

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Answer:

200wuwusjjdhsuauuaiajjduwiqisidiwiwia

Answer:

n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c

135= 73+59+31-19-9-16+4+ n(GnTnS)^c

no. of people not using any facility =12

Answer:

10x^3 - 2x^2 -7

Step-by-step explanation:

To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second

so 6x^3 + 4x^3 and that would be 10x^3

then -3x^2 + x^2 and the negative is larger so it would be -2x^2

and finally -2 + -5 and that is -7

hope this helps! :)

Answer:

B and C

Step-by-step explanation:

Answer:

Systems of equations:

x=3

y=2

z=1

w=0

Answer:

Hey, You don't need to buy supplies. Just use your at home!

Step-by-step explanation:

Brainlest?

Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).

Step-by-step explanation:

Answer:

A dashed line down V on the (0,0) with the shading inside the V.

Step-by-step explanation:

- graph of y = -|x| is an upside down V

- less than sign means that there is dashed lines only

- plug in an x-value to determine whether the graph is shaded within the V or outside

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

In this question we need to analyze an exponential function of the form:

y = a · (1 + r)ˣ      (1)

Where r is the growth rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):

y = 0.84 · (1 + 1/6)ˣ

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

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