Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.

Select All The Unique Triangles That Can Be Drawn To Only Have Angle Measures 40 And 100 And Side Length

Answers

Answer 1

ΔABC; AB = 3, ∠CBA = 100°, ∠CAB = 40°

ΔABC; AB = 3, ∠ABC = 100°, ∠BCA = 40°

Given,

Select all the unique triangles that can be drawn to only have angle measures 40° and 100° and side length 3.

What are unique triangles?

Unique triangles are triangles that are different based on their configuration, which derives from the positioning of the given parameters to correspond with different congruency requirement.

The conditions for the congruency of two triangles are;

SSS: The Side-Side-Side rule; two triangles are congruent if all three sides of one triangle are congruent to the three sides of the other triangle

SAS: The Side-Angle-Side rule; two triangles are congruent if two sides and the included angle of one are congruent to two sides and an included angle in the other triangle

ASA: The Angle-Side-Angle rule; two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and an included side of the other triangle

SAA: The Side-Angle-Angle rule; Two triangles are congruent if two angles and an a non included side of one triangle are congruent to two angles and the non included side of the other triangle.

The configuration of the unique triangles can therefore, be ASA and SAA, which gives the triangles;

ΔABC; AB = 3, ∠CBA = 100°, ∠CAB = 40°

ΔABC; AB = 3, ∠ABC = 100°, ∠BCA = 40°

Please see attached drawings of the two unique triangles

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Select All The Unique Triangles That Can Be Drawn To Only Have Angle Measures 40 And 100 And Side Length

Related Questions

What is -2=-1+n/8? I’ve been stuck on it for a while

Answers

Answer: n= -8

Step-by-step explanation:

1. -2 = -1 + [tex]\frac{n}{8}[/tex]

2. -1 =      [tex]\frac{n}{8}[/tex]

3. -8 = n

13+14=3×f;f=9 helppp

Answers

Answer: 3x=13+14

3x=27

x=27/3

x=9

Step-by-step explanation: Maybe.

The lateral surface area of cone A is equal to the lateral surface area of
cylinder B.
A
2h
A. True
B. False

Answers

The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

How to illustrate the information?

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many ways can the door prizes be awarded if there are 23 entrants?.

Answers

There are 212 520 ways that the door prizes can be awarded if there are 23 entrants

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the number

Information about the problem:

n = 23 (entrants)r = 4 (prizes )23P4 =?

Applying the permutation formula we have:

nPr = n! / (n-r)!

23P4 = 23! / (23-4)!

23P4= 23! / 19!

23P4 = 23*22*21*20*19! / 19!

23P4 = 23*22*21*20

23P4 = 212520

What is permutation?

It is the ordered arrangement of members belonging to a set with no repeats.

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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.

In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.

3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.

4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.

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what is the size of the angle between south and south east

Answers

Answer:45°Step-by-step explanation:

The angle between north and south = 180°. The angle between East and South = 90°. The angle between South and West is 90° and between South and East is also 90°. So the sum of these two angles is equal to 180°. Since these two angles are adjacent to each other so they form a linear pair.

If the cost of an 800 number is $29.95 per month plus 28 cents per minute, then the monthly cost varies directly as the number of minutes.TrueFalse

Answers

We have the monthly cost is fixed: $29.95.

The cost varies directly as the number of minutes since the total cost per month will be:

[tex]29.95+\frac{28}{100}x[/tex]

If we make a call and spend 30 minutes. We need to add this cost to the payment:

[tex]undefined[/tex]

A normal distribution has = 32 and = 5.
(a) Find the z score corresponding to
x = 27.



(b) Find the z score corresponding to
x = 43.



(c) Find the raw score corresponding to
z = −3.



(d) Find the raw score corresponding to
z = 1.1.

Answers

a) z score corresponding to x = 27 is -1

b) z score corresponding to x = 43 is 2.2

c)  Raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1 is 37.5

Given,

Normal distribution with μ = 32 and σ = 5

a) z score corresponding to x = 27

z = (x - μ) / σ

Then,

z = (27 - 32) / 5 = -5/5 = -1

That is, z score corresponding to x = 27 is -1.

b) z score corresponding to x = 43

z = (x - μ) / σ

Then,

z = (43 - 32) / 5 = 11/5 = 2.2

That is, z score corresponding to x = 43 is 2.2

c) Raw score corresponding to z = -3

z = (x - μ) / σ

Then,

-3 = (x - 32) / 5

-3 × 5 = x - 32

-15 = x - 32

x = 32 - 15 = 17

That is, raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1

z = (x - μ) / σ

1.1 = (x - 32) / 5

1.1 × 5 = x - 32

x = 32 + 5.5 = 37.5

That is, raw score corresponding to z = 1.1 is 37.5

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Look at the table below. Which of the following is the constant rate of change?

Answers

Given data:

The first value of x is a=-16.

The first value of y is b=20.

The second value of x is c=-12.

The second value of y is d=15.

The expression for the rate change is,

x=(d-b)/(c-a)

Substitute the given values in thhe above expression.

x=(15-20)/(-12+16)

=-5/4

Thus, he constant rate of change is -5/4.

due in an hour pls help!!


just tell me where to put the points

Answers

   Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.

What is the translational equation?  

The translation equation or formula is written as g(x) = f(x+k) + C.

Example

(x -3, y - 2)

x - 3 y - 2 ;

x-3 y-2

x-3y - 2

x² -  x - 6 =0

-x + 3 > 2x + 1

line(1, 2),(3 ,1)

f(x) = x³

prove tan²(x) - sin ²(x) = tan²(x) sin²(x)

d /dx(3x + 9/2 -x)

(sin²(0))

sin (120)

lim(x -> 0 (xln(x))

= 0 3/2n.

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Triangle ABC is shown below, with the angle measures as marked.
What is the measure of Angle A and B?

Answers

The measure of Angle A and Angle B are 54° and 122° respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle ABC,

The measure of angle A = (n + 20)°

The measure of angle B = (3n - 10)°

The measure of angle C = n°

Now,

The sum of all the angles of the triangle = 180°

So, we can formulate;

(n + 20)° + (3n - 10)° + n° = 180°

Solve for n as;

n + 20 + 3n - 10 + n = 180

5n + 10 = 180

5n = 180 - 10

5n = 170

Divide by 5, we get;

n = 170/5

n = 34

Thus, The measure of angle A = (n + 20)°

                                               = 34 + 20

                                               = 54°

And, The measure of angle B = (3n - 10)°

                                             = 3 x 34 + 20

                                             = 102 + 20

                                             = 122°

Therefore,

The measure of Angle A and Angle B are 54° and 122° respectively.

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what is 4.5=m + 2.75

Answers

4.5 = m + 2.75

Solving for m:

Subtract 2.75 from both sides:

4.5 - 2.75 = m + 2.75 - 2.75

1.75 = m

m = 1.75

A pet boarder keeps a dog-to-cat ratio of 5:2. If the boarder has room for 98 animals, then how many of them can be dogs in a ratio

Answers

Answer:We have 70 dogs

Step-by-step explanation:

dogs: cats: total5          2      7We want 98 animals98/7 =14We need to multiply each number by 14dogs: cats: total…

hope this helps

Please help CORRET ANWSERS ONLY!

Answers

Answer:uhh

Step-by-step explanation:

Which of the binomials below is a factor of this expression?
25x^2-4y^2z^2
answer- 5x-2yz

Answers

The binomials  5x-2yz are a factor of this expression

25x^2-4y^2z^2

This is further explained below.

What are binomials?

Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.

After monomials, this is the sort of sparse polynomial that is the easiest to understand.

The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.

25 x^2-4 y^2 z^2

Rewrite 25 x^2 as (5 x)^2.

(5 x)^2-4 y^2 z^2

Rewrite 4 y^2 z^2 as (2 y z)^2.

(5 x)^2-(2 y z)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.

(5 x+2 y z)(5 x-(2 y z))

Simplify.

(5 x+2 y z)(5 x-2 y z)

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The sum of 4 consecutive integers is 170. What is the largest number in the group?

Answers

The largest number when the sum of 4 consecutive integers is 170 will be 44.

According to the question,

We have the following information:

Sum of four consecutive integers = 170

Now, let's take the first integer to be x.

So, the next 3 integers will be (x+1), (x+2) and (x+3) respectively.

Now, the largest number will be (x+3).

Adding 4 consecutive integers:

x+ (x+1) + (x+2) + (x+3) = 170

4x+6 = 170

4x = 170-6 (Moving 6 from the left hand side to the right hand will result in  the change of the sign from plus to minus.)

4x = 164

x = 164/4

x = 41

So, the next three consecutive integers will be 42, 43 and 44.

Hence, the largest of the four consecutive integers is 44.

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Find the slope of the line that passes through the following points: (-4,-2) and (-3,5)

Answers

formula: y2-y1/x2-x1
label your variables by x and y.
subtract y2 from y1, then x2 from x1.
simplify your answer

explain how you got the answer please

Answers

Answer:

I cannot include a picture, but the slope is -2/3, and the y-intercept is (0, 3).

Step-by-step explanation:

When given an equation like this, remember the formula y=mx+b that you should have learned. This formula is the slope-intercept formula that you can use. The m is the slope and the b is the intercept. In the equation, the x is what we are trying to find.

y=-2/3x+3

y=mx+b

m=-2/3

b= (0,3)

So, graph the slope as -2/3 and the y-intercept as (0,3).

Hope this helps!

Provide an example and explain the steps to convert a fraction into a percent.

Answers

Fractions can be converted to percentages by multiplying by 100. ...
A fraction is one way of writing a division. ...
Convert 2⁄5 to a percentage. ...
Divide the numerator (2) by the denominator (5). ...
To convert 2⁄5 to a percentage, divide 2 by 5 and then multiply the result by 100.


[tex]10 \sqrt{3} - 4 \sqrt{48} - \sqrt{75} [/tex]
10v3-4v48-v75 help pld​

Answers

The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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According to the rules of significant figures 7.898 + 5.23 = 13.13. This is because the least precise value in the problem is 5.23, which is precise only to the hundredths digit, so the answer must also be rounded to the nearest hundredths.True or False

Answers

The given expression is

[tex]7.898+5.23=13.13[/tex]

It's important to know that the rules of significant figures state that the resulting number of a sum of decimal numbers may have no more significant numbers than the least number of significant figures.

In other words, the answers can't be more precise than the least precise number in the sum.

Therefore, the given statement is true.

2. What is the equation of a line that passes through the points (-0.92, 2.49) and (-5.62, 9.76)? Write your answer in point-slope form.​

Answers

Answer:

Step-by-step explanation:

-0.92 2.49

-5.62 9.76

Rise = 9.76 - 2,49 = 7.27

Run: -5.62 - (-0.92) = -4.7

Slope (Rise/Run) = (7.27.`-0.92) = -1.55

The line has the form:

y = 1.55x + b

We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).

y = 1.55x + b

2.49 = 1.55(-0.92) + b

b = 2.49 - 1.426 = 1.064

The equation is y = 1.55x + 1.0

ASAP please Hurry

The number of issues of books from a library are given for the years 2001–2011. The numbers are in hundreds of thousands.

Answers

Answer:

See attached graph.

Step-by-step explanation:

Use DESMOS graphing software.  Free.

Greg is at his house he gets in his car drives north 8. 9 miles and stops at a store then he turns around and drives south 7. 7 miles to his friends house how far is the friends house from Greg’s houses?

Answers

His friend's house is 1.2 miles away from his house.

How do you know his friend's house is 1.2 miles away from his house?

Well, the solution to this math problem is very simple. We just need to remove a number away from another. In other words, we only need to do some subtraction.

Subtraction is one of four main arithmetic operations in which we use to take away a number or an amount from another number or amount. Remember that the commutative law doesn't apply to subtraction, so we really need to be careful to pick what number is subtracted by the other number.

The distance from Greg's house to the store is 8.9 miles away. That's the number that is going to be subtracted. His friend's house is 7.7 miles away from the store. This is the number that we're going to subtract from the previous number. Mathematically, we can express this as:

8.9 - 7.7 = 1.2

We're left with 1.2, which is the distance in miles from Greg's house to his friend's house.

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On what day does frank first get charged an overdraft fee? a. wednesday b. thursday c. friday d. saturday

Answers

Frank first get charged an overdraft fee on Wednesday

Frank has $66.50 in his account as of Sunday.

He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.

Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.

Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.

Therefore, Frank was therefore assessed an overdraft fee on Wednesday.

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what is Vivian's new account balance?

Answers

Answer: 218.65 US$

Step-by-step explanation: $187.56+$49.73= $237.29
237.29 US$- $18.64

Answer:

$218.65

Step-by-step explanation:

She starts with a balance of $187.56. When she deposits money she is adding to the account.

$187.56 + $49.73 = $237.29

When she spends money money is being subtracted from her account.

$237.29 - $18.64 = $218.65

18. An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed
containing no bluegrass seed (0%) should be added to the seed mixture for a resulting
blend that is 20% bluegrass seed? Construct a table, then solve.

Answers

Step-by-step explanation:

what table is your teacher taking about ?

in any case this is resistive easy to solve

80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :

80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2

80×0.1 = x×0.2

x = 80×0.1/0.2 = 80/2 = 40 pounds

so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).

Can someone help me with this?

Answers

Answer:

y = 77

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )

3y = 7 × 33 = 231 ( divide both sides by 3 )

y = 77

The answer to this math question is 77

Please Help Please ASAP

Answers

it is the bottom right graph

Photo plus charges $2 for each print plus a $6 processing fee. Picture time charges $3 for each print plus a $4 processing fee. for what number of prints is the price the same at both stores

Answers

I think the answer is 15 or 16.
I think the answer is 15 or 16.

10) Find DF if LF = 2X - 8 and LD = X - 3 ​

Answers

Answer:

  DF = 4

Step-by-step explanation:

You want DF when L is the midpoint, LD = x-3 and LF = 2x-8.

Congruent segments

Segments DL and LF are marked the same, so are congruent. Using the given expressions, we have ...

  LF = LD

  2x -8 = x -3

  x = 5 . . . . . . . . add 8-x to both sides

Then the measures of the segments are ...

  LF = 2(5) -8 = 2

  LD = 5 -3 = 2

  DF = DL +LF = 2 +2 = 4

The length of DF is 4 units.

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