Are congruent triangles also similar?

Answers

Answer 1

Answer: yes they are

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.

Answer 2

Answer:

Yes

Step-by-step explanation:

While congruent triangles are similar, similar triangles may not be congruent.


Related Questions

Select all the statements that are true

Answers

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]

                                              = 10.77

Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.

Answers

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.

Please help I don’t gat this

Answers

Answer:

30 yards

Step-by-step explanation:

the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30

Please need help thank

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

It has the most x's (rolls) compared to the other numbers rolled.

Is 60.560 an irrational number or rational?

Answers

Answer: ratinal?

Step-by-step explanation:

Washe
car alone, ustin takes
45 hours
had
takes tos hours.
How
donde long does the car
by
does it take Justin's
hiods?
Washing car alone it takes Justin 4.5 hours. If his dad helps him it takes 1.5 hours. His long does it take Justin’s dad to wash the car by himself?

Answers

Answer:

it takes his dad 3 hours

Step-by-step explanation:

4.5-1.5 =3



what is 47 ÷ 12 1/3 =​

Answers

Answer: 47/363

(Decimal: 0.129477)

Write two fractions that have a sum of 1 and have different denominators.​

Answers

Answer:

1/5+8/10=1

Step-by-step explanation:

1/5 = 2/10

WILL GIVE BRAINLIEST

Answers

Answer:

B. 12

Step-by-step explanation:

First, we need the degrees for A. So, cosx = 5/13    =    67.4

Now it will be easy to solve a. tan67.4° = a/5    =   12.011728511....

we round it to the nearest tenth and we get 12.

Step-by-step explanation:

By pythagoras theoram

[tex]c = \sqrt{a2 + b2} [/tex]

13=a²+5²a²=13²--5²a²=169--25a²=144

I think this is a helpful for you

CAN SOMEBODY PLEASE HELP ME!!

Answers

Answer:

2,2   2,7   5,7

Step-by-step explanation:

Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8

Answers

Answer:

it is A.2/3

Step-by-step explanation:

Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }

Answers

Answer:

domain:{10,28,42,52}

range:{-10,6,10}

Step-by-step explanation:

Hello There!

If you didn´t know the domain is the set of x values

the x values in the given relation are

10,28,42,10 and 52

so the domain is {10,28,42,52}

The range is the set of y values

the y values in the given relations are

6,-10,6,10,10

so the range is {-10,6,10}

HELP ME NOW PLEASE!!!!!
The question says "State the coordinates of Point G after a rotation of 90 degrees clockwise followed by a dilation with scale factor 2." The coordinates are G(4.5, 3).

Answers

Answer:

Hiiiiiiiiiiiii Picture pls?

Step-by-step explanation:

:))

Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.

Answers

Answer:

Step-by-step explanation:

30

In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40

Answers

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches

Answers

Answer: D 120 square inches

answer all
(make sure to show work
6th grade work

Answers

8+ ( 8 - 6)
8 + 2
10 - answer

4 times 4
16 + 20
36 - answer


Ur welcome

Help me with this please

Answers

I believe it is 15

90-75=15

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

what is the value of x when h(x) x-3

Answers

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:
x= -3/h

hope this helps :)

Evaluate 4x – 3 for x = -2.


Answers

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

It’s -11 I’m not sure but hope it help

A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter

Answers

Answer:

haach f,f msfmavfb

Step-by-step explanation:

are Equilateral triangles always acute triangles.

Answers

Answer:

Yes, they can only have acute angles (all measure 60°)

Step-by-step explanation:

Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?

Answers

Answer:

3 feet

Step-by-step explanation:

If the length is 4 feet, there are two lengths so you get 8

14-8= 6

Because there are two widths, you do 6 divided 2 and you get 3 feet

Help plzzzzzzxhshshxyxush

Answers

Answer:

a.

Step-by-step explanation:

because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.

Select the improper fraction that is not equivalent to the whole number 6

18/3
6/1
54/3
54/9

Answers

the one not equivalent to 6 as a whole is 54/3 as that equals 18.

Answer:

54/3=18

Step-by-step explanation:

18/3=6

6/1=6

54/9=6

A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem​

Answers

Answer:

75cm is the measurment

Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

Ryan earns $20 for every lawn that he mows.
Which set of ordered pairs represents the relationship between the number
of lawns Ryan mows and the money he earns?
Oa. (20,1),(40,2), (60, 3) Ob.(1, 20), (2, 40), (3, 60)
Oc. (0,20), (1, 40), (2, 60) Od. (1, 20), (2, 30), (3, 40)

Answers

Answer:

A is the correct answer

Answer:

B

Step-by-step explanation:

The first number should represent the lawns, and the second should represent the money he makes on each lawn.

A is incorrect because the numbers are swapped; Ryan does not earn one dollar for mowing 20 lawns.

C is wrong because if Ryan mows zero lawns, how can he make money. Although the multiplication is correct, it does not start at zero.

D is wrong because it is counting the price up by ten instead of adding 20.

B is right because every lawn is 20 more dollars, and that is what is shown.  

3^16 as a power of 1/9

Answers

Answer:

x = -9

Step-by-step explanation:

3^16 = (1/9)^x

9^18 = 9^-x

On comparing co-efficients :

-x = 9

x = -9

Helppppppppppppppppp

Answers

The answer to the question is D.

Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she deposit?

Answers

Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

$23.50.
EXPLANATION:
To find the answer, we should take the original amount, and subtract it from the new amount.

This is so we can find how much was added to the original number.

So, we do 24 - 0.50 and get $23.50.

HAVE A GUD DAY!
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