Determine if the two triangles are congruent.

Determine If The Two Triangles Are Congruent.

Answers

Answer 1

Answer:

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.

Step-by-step explanation:

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.


Related Questions

what is 9.15 x 10^-4 in standard form

Answers

Answer:

.000915x

Step-by-step explanation:

Answer:

0.000915x

Step-by-step explanation:

Check it out it works man(woman)

Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer/Step-by-step explanation:

Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.

Part B: a(t) = y.

a(t) = a + 100t

Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.

Part D: b(t) = y.

b(t) = b(1.1)^t

Part E: a(20) = a + 100(20)

1100 + 2000 = 3100

b(20) = b(1.1)^20

1100(1.1)^20

= 7400

There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.

Hope this helps!

4x² - 3x⁵ + x³ - 8x what is the answer need by today

Answers

Answer:

In standard form -3x⁵ + x³ + 4x² - 8x

Step-by-step explanation:

PLEASE HELP!! (Give reasonable answer)

Answers

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4

Answers

Answer:

y - 5 = -4(x + 1)

Step-by-step explanation:

The point-slope form is y - k = m(x - h).  The point is (h, k):  (-1, 5) and the slope is -4.

Here we have y - 5 = -4(x + 1)

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ2

Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1 year?

Answers

Answer:

111

I'm pretty sure

Step-by-step explanation:

Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)

Answers

Answer:

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a([tex]b^{2}[/tex]+[tex]c^{2}[/tex])

Just substitute the values given for each variable

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)([tex]2^{2}[/tex]+[tex](-3)^{2}[/tex]) ; do the exponents first

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a([tex]b^{2}[/tex]+[tex]c^{2}[/tex]) = -13 ; and multiply by -1

Find the slope and y-intercept of the line whose equation is given.
y= - 7x-9
Determine the slope. Select the correct choice below and fill in any answer boxe
A. m=
(Type an integer or a fraction.)
OB. The slope is undefined.

Answers

Answer:

Slope = -7

y-intercept = -9

Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

b = -9 which is the y -intercept


Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,-5)
(-2,5)
(2,5)
(2,-5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's (2,5) just to let you now

Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage

Answers

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

I hope this helped, please mark Brainliest, thank you!

The perimeter of a rectangular playground can be no greater than 120 meters. The width of the playground cannot exceed 22 meters. What are the possible lengths of the playground?

Answers

Answer:

because The perimeter of a rectangular playground can be no greater than 120 meters, The width of the playground cannot exceed 22 meters

=> the length of the playground cannot exceed: (120/2)-22= 38(meters)

Step-by-step explanation:

A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.

Answers

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

[tex]\angle ACB = 90^\circ[/tex]

Solution:

Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].

Construction: Join point  A with centre O.

Considering [tex]\triangle AOC[/tex]:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle ACO=\angle A=x[/tex]

Considering [tex]\triangle BOC[/tex]:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle BCO=\angle B=y[/tex]

[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)

Now, in [tex]\triangle ABC:[/tex]

Using angle sum property of triangle:

[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]

By equation (1):

[tex]\angle ACB = 90^\circ[/tex]

Hence proved.

Jim is baking chocolate chip muffins. He has a total of LaTeX: 7\frac{1}{3}7 1 3 cups of chocolate chips. If each batch of muffins uses LaTeX: \frac{2}{3}2 3 of a cup of chocolate chips, enter the most number of batches of muffins Jim can bake.

Answers

Answer:

Step-by-step explanation:

Total cups of chocolate available = 7 1/3 cups

each batch uses 2/3 of a cup of chocolate

To get the number of batches of muffin Jim can bake, we will use the equality postulate.

1 batch = 2/3 cup of a chocolate

x batch = 7 1/3 cups of chocolate

Cross multiply

2/3 x = 7 1/3

2/3 x = 22/3

cross multiply

2x * 3 = 3 * 22

6x = 66

x = 66/6

x = 11

Hence Jim can bake at most 11 batches of muffins

The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.

Answers

answer: 1/7

explanation: she has 3 dimes so that is the numerator. add up all the total coins she has to get 21 for the denominator. you get 3/21. to simplify, divide both numerator and denominator by the common factor 3.

don’t know if it’s 100% correct but hoped it helped in some way! :)

Need an answer within an hour i will give brainlist dont write just anything please. thank you

Answers

Answer:

its not a straight line so what is the question ????????  maybe f(-3) = -3f

Step-by-step explanation:

What is the rate of change of y with respect to x for 25x-4y=50

Answers

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

What is derivative?

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

To learn more about derivative visit: https://brainly.com/question/25081524

What is the slope of the line through -4,3 and 5,3

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 3) and (x₂, y₂ ) = (5, 3)

m = [tex]\frac{3-3}{5+4}[/tex] = [tex]\frac{0}{9}[/tex] = 0

Is 5/6 equal to 2/3?

Answers

Answer: They are not equal

=====================================================

Work Shown:

For now, let's assume they are equal. We'll show a contradiction happens.

5/6 = 2/3

5*3 = 6*2 ... cross multiply

15 = 12 ... here's the contradiction

If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.

Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say

5/6 > 2/3

5*3 > 6*2

15 > 12

Which helps show 5/6 is larger than 2/3.

---------------------

Or you can use a calculator to see that

5/6 = 0.833 approximately

2/3 = 0.667 approximately

which shows the two fractions aren't equal and 5/6 is larger.

The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?

Answers

Answer:

4

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

What is rhe vertex of this parabola ?????? HELP

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

please help due in 5 mins

What is the probability of landing on an even number? (Write your final answer as a percentage.)



P(event)

Answers

Answer: 1/2 which equals 50%

Step-by-step explanation:

Answer:

0.5 because there are 4 numbers and 2 of them are even so it would be 1/2

Question 5 of 8
In arithmetic, variables look like
Answer here
SUBMIT

Answers

Answer:

In arithmetic, variables look like letters.

Step-by-step explanation:

As we know that Mathematical arithmetic deals with numbers and certain properties with them.

Some of the main properties between numbers are as follows:

AdditionSubtractionMultiplicationDivision

Variables do not remain constant, so we basically assign a number to a variable with an equal operator denoted by '='.

For example, let us assume a variable x being equal to 7. so it can written as:

[tex]x = 7[/tex]

Let suppose the value of the variable x=7 changes to x=10, then the new value will be:

[tex]x = 10[/tex]

Therefore, the correct answer is:

In arithmetic, variables look like letters.

The range of the data:25, 81, 20, 22, 16, 6, 17,15,12, 30, 32, 10, 91, 8, 11, 20 is

Answers

Answer:

85

Step-by-step explanation:

The range is defined as the difference between the highest observation and lower observation in a data.

Here,

The Highest observation in this data= 91

The Lowest observation in this data=6

Hence,

Range of the data= Highest observation - Lower observation

=91-6=85

85 is the range i hope this helps

what is the inverse function of c(n) = 4n + 20? show your work

Answers

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

m -20 =n

4.

inverse function of c(n)= n-20

4

It is a must that one replaces the m with the n in order to get the final answer

From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?

Answers

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

sweet t is making a double batch of Pupcakes. he puts them in the oven at 6:50. they need to bake for 25 minutes

Answers

i would love to help but i just need free points

Step-by-step explanation:

Which of the following is a rational number? ​

Answers

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

Does the set of ordered pairs
represent a function ? Explain.
(7, 8), (9, 10), (0, 1), (-2, -1),
(9,8)

Answers

Answer:no

Step-by-step explanation:

Because there’s two number 9’s for the x values

Answer:

no because x = 9 has two y coordintates, and in a function every x value can only have one y value.

Step-by-step explanation:

Which of the following values are solutions to the inequality x-7< 5?x−7<5?

Answers

Answer:

x>12

Step-by-step explanation:

Answer:

These are = to........so =

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

f(x) = x³ + x² + x + 1

If x = 1 is a factor then f(1) = 0

f(1) = 1³ + 1² + 1 + 1 = 4 ≠ 0 , thus x = 1 is not a zero

f(- 1) = (- 1)³ + (- 1)² + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0

Thus x = - 1 is the only zero

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