What are the 4 criteria for the congruence of triangles?

Answers

Answer 1

Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS.

As per the given data we have to determine the criteria for the congruence of triangles.

The criteria is SSS, SAS, ASA, AAS, RHS.

SSS- Two triangles are congruent if all the 3 corresponding sides of the given triangles are equal.

SAS- Two triangles are congruent if 2 corresponding sides of the given triangles and the angle included between those sides are equal to each other.

ASA- Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding angles and sides of another triangle.

AAS- if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then two triangles are congruent with each other.

RHS- If the hypotenuse and a side of a right angled triangle are congruent with the hypotenuse and the corresponding side of another right angled triangle, then the two triangles are congruent with each other.

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Related Questions

Pls help me, and do not send links. Thanks

Answers

i uploaded a vid on this here

https://www.you tube.com/watch?v=dQw4w9WgXcQ

An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare the populations by finding and interpreting the average rates of change over the interval [0,40].

Answers

Answer:

The answer is "6.3 and 5.25"

Step-by-step explanation:

Please find the complete question in the attached file.

Throghout the question the calculated points are:

[tex](0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\[/tex]

Formula for Calculating slope:

[tex]M=\frac{y_2-y_1}{x_2-x_1}[/tex]

For First point slope:

[tex]M=\frac{252-0}{40-0}=\frac{252}{40}= 6.3 \ \frac{people}{mi^2}[/tex]

For second point slope: [tex]M=\frac{210-0}{40-0}=\frac{210}{40}=\frac{21}{4}= 5.25 \ \frac{people}{mi^2}[/tex]

find the slope-intercept equation of the line that passes through (-7,2) and had a slope of 0

Answers

Answer: Y=0x+b

Step-by-step explanation:

Y=mx+b is what we need to set it to.

Since we already know the slope, we can go ahead and find the y-intercept to complete the equation

(-7,2), here -7 is the x and 2 is the y value

y=mx+b

plug all the known information now and solve for b (y-intercept)

y is 2, m (slope) is 0, x is -7

2=0(-7)+b

2=0+b

2=b

y=0x+2 or simply y=2

Answer:

y = 2

Step-by-step explanation:

The line is a horizontal line thru (-7, 2)

Equation:  y = 2

Expand and simplify 4(2x+3)-(5x-1)

Answers

1. 4(2+3)−1(5-1)
8+12−1(5−1)
2. 8+12−1(5−1)
8x+12-5x+1
3. 8x+12-5x+1
8x+13-5x
4. 8x+13-5x
answer: 3x+13

Claire has 8 cards: 4 red cards and 4 blue cards. She draws 3 cards from the set at random. What is the probability that all 3 cards are red?

Answers

Answer: 1/14 assuming cards are nut returned back in deck

Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2

Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.

Multiply probabilities , you get 1/14

Answer:

4/56 simplified is 1/14

Step-by-step explanation:

nCr(8,3) = 56

4 (the number of red cards there are) / 56 = 1/14

please please help it's timed!
determine the value of y, if x is 7.
[tex]y=x^2-1[/tex]

Answers

Answer:

y = 48

Step-by-step explanation:

Plug in 7 for x:

y = x² - 1

y = (7)² - 1

Simplify. Remember to follow the order of operations, PEMDAS.

PEMDAS stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, solve the power, then subtract:

y = (7)² - 1

y = (7 * 7) - 1

y = (49) - 1

y = 48

48 is your value for y.

~

radius of a cone with a volume of 100.48 yds3 and a height of 6 yds

Answers

Answer:

r = 4

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

V = 100.48

h = 6

π = 3.14

Work:

V = πr²(h/3)

100.48 = r²(3.14)(6/3)

100.48 = r²(3.14)(2)

100.48 = r²6.28

r² = 100.48/6.28

r² = 16

[tex]\sqrt{r^2} =\sqrt{16}[/tex]

r = 4

NEED HELP PLEASE. NO LINKS OR U WILL B REPORTED. WILL GIVE POINTS AND THE BRAINLIEST. THANKS!!

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in”, a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L = 18, W = 15 and H = ?
2*(15+18) + 2*(15H) + 2*(18H) = 540 + 30H + 36H
1,728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is less than 18

Match each value to the correct expression.

Answers

Answer:

1. 27

2. 27

3. 15

Step-by-step explanation:

The solution of the the given three expressions are 27, 22, and 15, respectively.

What is PEMDAS?

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

The given mathematical expressions can be solved as shown below.

1 + 5 · 2 + (1 + 3)²

Step1: Solving Parenthesis first,

= 1 + 5 · 2 + (4)²

Step2: Exponents,

= 1 + 5 · 2 + 16

Step3: Multiplication,

= 1 + 10 + 16

Step4: Addition,

= 27

4 + 8[(1/4) + 2]

Step1: Parenthesis

= 4 + 8(2.25)

Step2: Multiplication,

= 4 + 18

Step3: Addition,

= 22

0.25 · 4³ - 1

Step1: Exponents,

= 0.25 · 64 - 1

Step2: Multiplication,

= 16 - 1

Step3: Subtraction,

= 15

Hence, the solution of the the given three expressions are 27, 22, and 15, respectively.

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7/15 multiplied by 5/6

Answers

Answer:

The answer will be 35/36

Answer:

[tex]\frac{7}{18}[/tex]

Step-by-step explanation:

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

8.2.AP-7
B
Find the measure of side c.
a = 26 m
C
C=
m (Round the answer to the nearest whole number.)

Answers

Answer:

c ≈ 40

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )

c × sin40° = 26 ( divide both sides by sin40° )

c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )

Help me please! This is due today!​

Answers

Answer:

the question is fillped i can not see the questions

Step-by-step explanation:

someone please help me out on this problem

Answers

Answer:

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=9

Step-by-step explanation:

the equation for graphed circles centered at (0, 0) is

[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=[tex]r^{2}[/tex]

and 3 is r (the radius)

The point (3,2) reflected in the x-axis is (
,
).


Question 2
b. Reflect (3,2) in the y-axis.

The point (3,2) reflected in the y-axis is (
,
).

Answers

Answer:

the answers below:

1: (3,-2)

2: ( -3,2)

If a / b = 2 / 5 , then , b / a = 5 / 2

True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.​

Answers

Answer:8x5=10-x

Step-by-step explanation:

Help me ‍♀️
Hehdhxjjbduc eirbdudbdu

Answers

Answer:

slope = 1

y - intercept = (0.-4)

i need help asap pls and no links

Answers

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Hong reads 7 1/2 chapters in 3 1/8 hours.

Answers

So what is the question?

A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degrees upwards to look at its head. How far away is she from the base of the statue? Round your answer to the nearest whole foot.

Answers

Given:

Height of the Statue of Liberty = 305 feet

Angle of elevation = 9 degrees

To find:

The between the tourist and the Statue of Liberty.

Solution:

Using the given information, draw a figure as shown below.

In a right triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the triangle ABC,

[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]

[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]

[tex]x=1925.6942[/tex]

[tex]x\approx 1926[/tex]

Therefore, the tourist is standing 1926 feet from the Statue of Liberty.

I need help on this now. Please.

Answers

Answer:

science is the answer

Step-by-step explanation:

becuse

Answer:

She answered fastest in social studies.

Step-by-step explanation:

Hope that helps

Riley invested $5,100 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 ​ % compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded daily. After 7 years, how much more money would Riley have in her account than Ryan, to the nearest dollar?

Answers

Answer: 257

257 in delta math

Step-by-step explanation:

After 7 years, Riley would $441.5 more have in her account than Ryan.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given that Riley invested $5,100 in an account paying an interest rate of [tex]7\tfrac{3}{4}[/tex]% compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of [tex]7\tfrac{1}{4}[/tex] % compounded daily, we need to find that after 7 years how much more money would Riley have in her account than Ryan,

[tex]A = P(1+r/n)^{nt[/tex]

Where A = amount

P = principal

r = rate

n = number of times the amount is compounded and t = time

Riley = compounded quarterly,

[tex]A = P (1 + r / 4)^{4t[/tex]

[tex]A = 5100(1+0.019375)^{4(7)}\\\\A = 5100(1.019375)^{28}\\\\\\[/tex]

[tex]A = 8728.13[/tex]

Therefore, in 7 years Riley has $8728.13.

Ryan = compounded daily,

[tex]A = P (1 + r / 365)^{365t[/tex]

[tex]A = 5100(1 + 0.00019)^{356(7)}\\\\A = 5100(1.00019)^{2555}\\\\A = 8286.64[/tex]

Therefore, in 7 years Ryan has $8286.64.

Riley will have $441.5 more.

Hence after 7 years, Riley would $441.5 more have in her account than Ryan.

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Find the length of a diagonal of a square with a side of 10. Round your answer to the nearest hundredth.

Answers

The answer is 14.14 that’s already rounded

Find the interest rate for a bank account that earned $81.60 in interest over 4 years and that had a principal of $510

Answers

Answer:

[tex]si = \frac{p \times t \times r}{100} \\ 81.60 = \frac{510 \times 4 \times r}{100} \\ 8160 = 2040r \\ r = \frac{8160}{2040} \\ r = 4\%[/tex]

Please answer both questions, thanks!

Answers

Answer: your welcome lol

Step-by-step explanation:

I dont see a question attached

Which table has a constant of proportionality between y and 2 of 0.6?
Choose 1 answer:


Answers

The answer is B. If you divide y by x such as (2.4/4) you get 0.6 and so on.

Which is NOT true? 5 + 14 = 20 - 1 9 + 5 = 7 + 7 15 = 4 + 11 15 - 9 = 9 - 4

Answers

Answer:

5+14=20 is not true

Step-by-step explanation:

5+14=19 not 20

Answer:

5+14=20 is not true

Step-by-step explanation:

5+14=20 is not true

find the missing number in each below

1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)

pasagot po plss​

Answers

9
50
445?
2
3
I think these are correct

A line passes through the points (-1, 4) and (3, -8). A second line passes through
(-1,8) and (2, 11).
A) Write the equation of each line. Show all work.

Answers

Answer:

y = -3x + 1,  y = x + 9

Step-by-step explanation:

An equation consists of a slope and the y-intercept. To find the slope, you need to plug the values into the slope formula.

y2 - y1/ x2 - x1

= -8 - 4/ 3 - (-1)

= -12/ 4

= -3

The slope of the first line is -3.

To find the y-intercept, you need to plug in either one of the coordinates into the equation, y = -3x + b

-8 = -3(3) + b

-8 = -9 + b

1 = b

The equation, for the first one, is y = -3x + 1  

Line 2:

11 - 8/ 2 - (-1)

= 1

y = 1x + b

11 = 1(2) + b

11 = 2 + b

9 = b

y = x + 9

8 2/3 + (-2 1/12)=
what would that be

Answers

Answer:

307/12

(Decimal: 25.583333)

Step-by-step explanation:

Heart if this helped

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