Need help with proof You can use SSS, SAS, ASA, and AAS

Need Help With Proof You Can Use SSS, SAS, ASA, And AAS

Answers

Answer 1

Explanation:

Given: ∠B ≅ ∠D (angle)

Statement:

∠DCA ≅ ∠BAC (angle)

Reason: alternate interior angles are congruent

Statement:

AC ≅ AC (side)

AC is common to triangle ABC and triangle CDA

Reason: Reflexive property

Statement:

ΔABC ≅ ΔCDA

The triangles are congruent by angle-angle-side

Reason: AAS theorem


Related Questions

Literally the last question pls get it right

Literally the last question pls get it right

Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
it’s -1
when you plug in -2 with the exponent it turns to 4
3-(-2)^2
3-4= -1.

X=2y-8 needing to graph this equation

Answers

Answer:

Hope this helps!!!!!

X=2y-8 needing to graph this equation

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 62% C: Scores below the top 38% and above the bottom 19% D: Scores below the top 81% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 77.5 and a standard deviation of 8.6. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

The minimum score required for an A grade is 88.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\(\mu = 77.5, \sigma = 8.6\)

Find the minimum score required for an A grade.

This score is the 100 - 12 = 88th percentile, which is X when Z has a pvalue of 0.88. So X when Z = 1.175.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.175 = \frac{X - 77.5}{8.6}\)

\(X - 77.5 = 8.6*1.175\)

\(X = 87.61\)

Rounding to the nearest whole number:

The minimum score required for an A grade is 88.

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time? Note: The delivery person cannot bring up a partial/fraction of a box.

Answers

Answer:

16 boxes

Step-by-step explanation:

160+50x=1000

Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.

(How to solve for x:

Get x by itself by subtracting 160 to both sides.

50x=1000-160

50x=840

Divide both sides by 50.

x=16.8)

If V1 = (2,4) and V2 = (-1,5), then V1*V2is equal to which of the following? A. (-2,20) , B. 18 , C. 22 , D. (8,-5)

Answers

B. 18

Explanation

The dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number

it is given by.

\(\begin{gathered} u=(u_x,u_y) \\ v=(v_{_x},v_y) \\ u\cdot v=(u_xv_x+u_yv_y) \end{gathered}\)

so, we can find the dot product by multiplying the corresponding values in each vector and adding them together

Step 1

get the dot product

let

\(\begin{gathered} v_1=(2,4) \\ v_2=(-1,5) \end{gathered}\)

then

\(\begin{gathered} v_1\cdot v_2=(2\cdot-1)+(4\cdot5) \\ v_1\cdot v_2=-2+20 \\ v_1\cdot v_2=18 \end{gathered}\)

therefore, the answer is

B. 18

I hope this helps you

21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B

Answers

The pairs of angles that are vertical angles in the figure are R and T.

In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.

Looking at the given options:

R and T are vertical angles because they are formed by the intersection of lines.

P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.

Therefore, the pairs of angles that are vertical angles in the figure are:

R and T

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48=5(10+z)+18 easy points:)

Answers

Answer: z = -4

Step-by-step explanation: I thinks

Answer:

z=-4

Step-by-step explanation:

48=50+5z+18

48=68+5z

-20/5=5z/5

-4=z

Fill in the boxes to add the expressions.

(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_

Answers

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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which expression is equivalent to the given expression -2x^2+8x-9+4x+7x^2+2

Answers

Answer:

-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7

Step-by-step explanation:

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16

Answers

The value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

What is the value of the discriminant for the quadratic equation?

The quadratic equation is given as:

–3 = –x^2 + 2x

Rewrite the equation as:

x^2 - 2x - 3 = 0

A quadratic equation is represented as;

ax^2 + bx + c = 0

So, we have

a = 1

b = -2

c = -3

The discriminant is

d = b^2 - 4ac

So, we have

d = (-2)^2 - 4 * 1 * -3

Evaluate

d = 16

Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is  16

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Answer:

16

Step-by-step explanation:

Solve for the unknown. q- 5/6=1 5/6

Answers

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears? Make a two-way table to help you!​

Answers

Answer:

5/9

Step-by-step explanation:

Total number of bikes = 18Bikes with gears S = 9Bikes with suspension S = 11Bikes with both GS = 5

From the information above we have:

Bikes with gears only = 9 - 5 = 4Bikes with suspension only = 11 - 5 = 6

Sum of the above two gives us the number of bikes with suspension or gears:

4 + 6 = 10

Probability of selected bike be G or S is:

P(G or S) = 10/18 = 5/9

A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?

Answers

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Which of the following measurements is a little more than 3 feet?
centiliter
meter
foot
centimeter
Submit
Pass
Pass
Don't know answer

Answers

meter I guess Is the correct answer

Answer:

A meter is approximately 3.28 feet.

use sum of difference identity to find exact value
sin(-15 degrees)

Answers

Answer: We can use the fact that the sine function is an odd function, which means that:

sin(-x) = -sin(x)

So, we have:

sin(-15 degrees) = -sin(15 degrees)

We can use the sum and difference identity for sine, which states that:

sin(a - b) = sin(a)cos(b) - cos(a)sin(b)

Letting a = 45 degrees and b = 30 degrees, we get:

sin(45 degrees - 30 degrees) = sin(45 degrees)cos(30 degrees) - cos(45 degrees)sin(30 degrees)

We can use the fact that cos(45 degrees) = sin(45 degrees) = √2 / 2 and cos(30 degrees) = √3 / 2 and sin(30 degrees) = 1 / 2 to simplify:

sin(15 degrees) = (√2 / 2)(√3 / 2) - (√2 / 2)(1 / 2)

sin(15 degrees) = (√6 - √2) / 4

Therefore, we have:

sin(-15 degrees) = -sin(15 degrees) = -[(√6 - √2) / 4] = (-√6 + √2) / 4

So the exact value of sin(-15 degrees) is (-√6 + √2) / 4.

Step-by-step explanation:

valuate −8 + 10 × 4 ÷ (−2). Question 25 options: −4 −28 −3 −20

Answers

Answer: its -28

Step-by-step explanation:

i dont know i used a app

What is the volume of the cube below?

What is the volume of the cube below?

Answers

Answer:

D. x^3

Step-by-step explanation:

1. Volume of cube = width*length*height

2. width, length, and height of a cube are all the same. In this case, it's x.

3. multiply x * x * x to get x^3

Answer:

D

Step-by-step explanation:

The equation for volume of a cube is l*w*h.

If we plug in l and w and h equaling x, we get:

x*x*x. When you multiply a number by itself, you get that number to the power of however many times it is multiplied. Therefore, x*x*x = x^3

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

NO

Step-by-step explanation:

Direct variation describes a simple relationship between two variables . We say y varies directly with x (or as x , in some textbooks) if: y=kx. for some constant k . This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.

also if it would be the same it would be (0,0) then (2,4) and finally (3,6) now that it would be a constant one.

hope this helped please mark brainliest if I did good and have a wonderful day (((((:

7. Given the following information, calculate, in order, the amount credited and the outstanding balance.
Invoice: $1,000
Terms: 3/10, n/30
Invoice date: May 5
Payment amount: $800
Date paid: May 9
A. $265 26: $624 74
B. $176 00, $824 00
C. $824.74 $175.26
D. $724.74 $275 26

Answers

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

water and food are products of?

Answers

Nurturance pretty sure

you have 4 blue,2 black,1 white,1 red,and 2 green shirts what's the probability of not
choosing a black shirt

Answers

Answer:

60 percent, or 6/10

Step-by-step explanation:

=
Divide.
O EXPONENTS AND POLYNOMIALS
Dividing a polynomial by a monomial: Multivariate
(12y'u²-32ysu+15y¹uº) ÷ (-4y²u³)
Simplify your answer as much as possible.
0
X
010
Ś

=Divide.O EXPONENTS AND POLYNOMIALSDividing a polynomial by a monomial: Multivariate(12y'u-32ysu+15yu)

Answers

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

What is factoring?

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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Eliminate the parameter in the equations x = t^1/3 and y = t – 4. How can the rectangular equation be described?

Answers

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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not sure need help ​

not sure need help

Answers

Answer:

192

Step-by-step explanation:

There are 2 ways of solving for <4

The first is just to add the 2 angles not connected to <4

<4 = 51 + 51 = 102

The second is to find <2 and take that away from 180

<2 + 51 + 51 = 180

<2 = 180 - 102

<2 = 78

<4 + <2 = 180   (They are supplementary

<4 = 180 - 78

<4 = 102

what is the slope for x = 12, y = 6

Answers

If x=12 and y= 12, the value of the slope is 0.5

How to determine the slope

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m.

It is also defined as the change in y divided by the change in x. To write it with the mathematical expression:

Slope(m) = (y2 - y1) / (x2 -x1)

Given: x = 12 and y = 6. Thus:

Slope(m) = 6/12 = 1/2 = 0.5

Therefore, the slope is 0.5 given that x = 12 and y = 6

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Set up an equation for x and solve to the nearest degree

Set up an equation for x and solve to the nearest degree

Answers

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Solve this fraction, thanks!
\( \frac{10}{5} + \frac{ - 12}{5} \)

Answers

Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Kevin has four apples in a boat each apple weighs 60 G and the empty bowl weighs 40 grams what is the total weight of the four apples with the bow

Answers

9514 1404 393

Answer:

  280 g

Step-by-step explanation:

The total weight is the sum of the weights of the objects:

 total = bowl + apple + apple + apple + apple

We use multiplication to simplify repeated sums:

  total = bowl + 4 × apple

  total = (40 g) + 4 × (60 g) = 40g + 240 g

  total = 280 g

The bowl and 4 apples weighs 280 grams.

the linear equation 5( + 9) = 5 +45.

Answers

Answer:

45 = 50

not true

Answer:   45=50

Step-by-step explanation:

Identify the correlation you would expect to see between the average amount of snowfall (inches) and the number of school closings.

Answers

Answer:

Simple Linear Regression Correlation

Step-by-step explanation:

When it snows normally the schools continue .But constant snowing affects the schools continuity. As more and more snow falls more schools are closed.

There may be a situation where all the schools are closed at a certain temperature.

So it is a simple linear regression correlation because in it there are two variables and one variable is dependent on the other. In this example the schools are dependent on the average snowfall.

If there's a snow blizzard or extreme weather all the schools are definitely closed .

It can be represented by a graph.

Identify the correlation you would expect to see between the average amount of snowfall (inches) and
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