are the triangles similar? explain. please help

Are The Triangles Similar? Explain. Please Help

Answers

Answer 1

Answer:

The triangles are similar.

Step-by-step explanation:

The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.

Answer 2

Answer:

Yes

Step-by-step explanation:

(i) By AA similarity

Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity

(ii) By SSS similarity

AB/DC = 32/40 = 4/5BC/EF = 24/30 = 4/5AC/DF = 36/45 = 4/5As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarity

Related Questions

Cindy counted 8,723 blue beads, 4,632 red beads, 3,512 green beads, and 5,971 white beads.
Doris counted 6,802 blue beads, 3,162 red beads, 987 green beads, and 2,689 white beads.
How many did Cindy and Doris count in all.

Answers

Answer:

36,478 beads

Step-by-step explanation:

8723+4632+3512+5971=22,838

6,802+3,162+987+2,689=13,640

22,838+13,640= 36,478

So Cindy and Doris have 36,478 beads in total.

How many solutions does this
system have?
=
-x + 3y = 3
2x – 6у = 30

Answers

-x+3y=3

-x+3y-3=0

F(x,y)=-x+3y-3-fx=?


F(x,y)=-x+3y-3-fy=?

Fx=-1

Fy=3

Dy 1
= —
Dx 3

If y=sin^3 x,prove that d^2y/dx^2 - 2 cot x dy/dx +3y=0​

Answers

The proof of d^2y/dx^2 - 2 cot x dy/dx +3y = 0 is determined as 6cos²xsinx - 3sin³x - ​6cos²xsinx  + 3sin³x = 0

Equation of the derivatives

The equation is given as;

[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y = 0 \ \ ---(1)[/tex]

y = sin³x

First derivative of y

y = sin³x

let u = sinx  (du/dx = cosx)

y = u³

dy/du = 3u²

[tex]\frac{dy}{dx} = \frac{dy}{du} \ .\ \frac{du}{dx} \\\\[/tex]

dy/dx = 3u² x cosx

dy/dy = 3sin²xcosx

y' = 3sin²xcosx

Second derivative of y

y' = 3sin²xcosx

let u = sin²x  (du/dx = 2sinxcosx)

    v = cosx  (dv/dx = -sinx)

[tex]y'' = \frac{d^2y}{dx^2} = V\frac{du}{dx} + U\frac{dv}{dx}[/tex]

y'' = 3[cosx(2sinxcosx) + sin²x(-sinx)]

y'' = 6cos²xsinx  - 3sin³x

Substitute first derivative and second derivative of y in equation (1)

[tex]\frac{d^2y}{dx^2} - 2\ cotx \ \frac{dy}{dx} \ + 3y \\\\(6cos^2xsinx \ - \ 3sin^3x) \ - \ 2(\frac{cosx}{sinx} )(3sin^2xcosx) \ + 3(sin^3x) \\\\6cos^2xsinx \ - \ 3sin^3x \ - 6cos^2xsinx \ + \ 3sin^3x = 0 \ \ proved[/tex]

Learn more about differentiation here: https://brainly.com/question/25081524

Pls answerrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

The answer should be 2

Step-by-step explanation:

P

r

=

n

!

(

n

r

)

!Subtract

1

from

2

.Simplify

2

!

(

1

)

!

.

Joan believes the best way to play roulette is to place a bet on a 6 block of numbers as her probability of winning is 638. She decides to place a $20 bet with this probability. She will win $100 (and keep her bet!) if one her numbers come up but she will lose if any other number is shown, a probability of 3238. What is the expected value for Joan? Round to the nearest cent. Do not round until your final calculation.

Answers

Answer:

-1.05

Step-by-step explanation:

Pls help word problem how many hours?

Answers

This answer was deemed incorrect, so sorry for posting this!

Express as a sum of logarithms.


[tex] log_{2}(16 \times 24) [/tex]

Answers

Log form 7 + log 2 (3)

Decimal form 8.585

Pls help math easy will give brainlest

Answers

Answer(s)

Problem 9: 138.53

Problem 10: Function

Problem 11: Not A Function (Not Sure)

Edit; Problem 9 should've been right, I have no idea then.

1. The width of a rectangular table is 7 - 2x feet and the length is 5x + 2 feet. Write a polynomial that represents the perimeter.

2. Base from problem number 10, what is the perimeter of the rectangular table if x is 3.

Answers

Answer:

perimeter is 36

Step-by-step explanation:

if x=3

then it turns into

Width 7-2(3)

length 5(3)+2

which equals

width 1

length 17

since it's a perimeter you add all four corners

which is 1+1+17+17=36

Use the vectors v = (3,-4) and w =(1,2) to answer the following questions:
a. Find v. w
b. Find the angle between v and w. Round to the nearest degree.

Answers

We will see that for the given vectors:

a) v.w = -5b) The angle between the vectors is 116.57°

How to find the dot product?

Remember that the dot product between two vectors:

a = (x₁, y₁) and b = (x₂, y₂) the dot product is:

a.b = x₁*x₂ + y₁*y₂ = |a|*|b|*cos(θ).

a) We have:

v = (3,-4) and w = (1,2)

The dot product will give:

v.w = 3*1 + (-4)*2 = 3 - 8 = -5

b) We will have:

|v|*|w|*cos(θ) = -5

Where:

|v| = √(3^2 + (-4)^2) = 5|w| = √(1^2 + 2^2) = √5

Then we have:

5*√5*cos(θ) = -5

cos(θ) = -1/√5

θ = Acos(-1/√5) = 116.57°

The angle between the two vectors is 116.57°.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

Pls help easy math will give brainlest

Answers

Answer:

Problem 17

Independent -- T

dependent -- D

_________________________

Problem 16

Independent -- X

dependent -- Y

_________________________

Problem 18

Independent -- R

dependent -- Q

Step-by-step explanation:

The product of two positive integers is 20. Find the two numbers​

Answers

Answer:

1 and 20    or   2 and 10   or   4 and 5

Step-by-step explanation:

the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20

Then

20 = 1 × 20

     = 2 × 10

     = 4 × 5

   

Which expression is equivalent to 2(3 - x)?

Answers

6-2x

distribute the 2 by doing 2*3 and 2*-x

this gets 6-2x or -2x+6

hope this helped!

Question in picture below.

Answers

The equation is
P=323*2(t/29)

Fill in each blank of the table shown by converting
given form of a number into the missing form of the
number.PICTURE BELOW
IM SO CONFUSED PLEASE HELP THANK YOU

Answers

Answer:

A. 0.11111

B. 17/100

C.0.232323

D. 6/9 or 2/3

E. 1.8888889

F. 4/11

G. 1.45454545

H. 3/100

Step-by-step explanation:

Convert them to fractions and decimals

Suppose that each person sitting in an enclosed room that measures 10 ft x 15 ft x 12 ft produces about 600 BTUs of
body heat per hour. Which statements are correct?
A)
3 people will produce approximately 8.33 BTUs/ft3 in a 9 hour period.
B)
4 people will produce approximately 13.33 BTUs/ft3 in a 10 hour period.
C)
5 people will produce approximately 3.33 BTUs/ft? in a 2 hour period.
D)
6 people will produce approximately 7.33 BTUs/ft3 in a 4 hour period.
E)
7 people will produce approximately 9.33 BTUs/ft3 in a 4 hour period.

Answers

The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.

What is the volume of a cuboid?

The volume of a cuboid is the product of its length, width, and height. It is formulated as:

[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]

As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,

The volume of the room = 10ft × 15ft × 12ft = 1800 ft³

A.)

The heat produced by 3 people in a period of 9 hours will be

= 600 BTU × 3 people × 9 hour

= 16,200 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]

Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.

B.)

The heat produced by 4 people in a period of 10 hours will be

= 600 BTU × 4 people × 10 hours

= 24,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]

Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.

C.)

The heat produced by 5 people in a period of 2 hours will be

= 600 BTU × 5 people × 2 hours

= 6,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]

Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.

D.)

The heat produced by 6 people in a period of 4 hours will be

= 600 BTU × 6 people × 4 hours

= 14,400 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]

Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.

E.)

The heat produced by 7 people in a period of 4 hours will be

= 600 BTU × 7 people × 4 hours

= 16,800 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]

Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.

Learn more about the Volume of a Cuboid:

https://brainly.com/question/23118276

#SPJ1

please help (due tomorrow)

Answers

7:obtuse angle

8:right angle

9:FDE, AFB

At the school carnival, the student council sold
temporary tattoos of the school mascot. They
purchased a batch of the tattoos for $10, and sold
each one for $4.
Define a unit for the amount of money made.
1. How much money did the student council make
by selling five tattoos?

Answers

Answer:

$10

Step-by-step explanation:

4 x 5 = 20

But then we need to subtract the $10 the tattoos cost.

So the amount of money they made was $10.

Hope this helps!

Answer:

$20

Step-by-step explanation:

$4 × 5 = $20

basically just multiply 4 by 5

Plsss help me with this answer this is due tmrw

Answers

Answer:

2

Step-by-step explanation:

13+7x=27

-13 -13

7x=14

÷7

x=2

Answer:

x = 2

Step-by-step explanation:

Given

13 + 7x = 27

#1) Subtract 13 from each side.

13 + 7x - 13 = 27 - 137x = 14

#2) Divide 7 from each side.

7x/7 = 14/7x = 2

Maya is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has an edge length of 1/6 foot.

The height of the model building is foot?
A.3/4
B.1/2
C.1/6
D.3/18
E.1/4

Answers

Answer: the answer is 1 over 2 which is e

Step-by-step explanation: 4 and 2 and 3 equal 9 so 1 over 6 times 9 cubes equal 1.5 which is 1 over 2

A store having a sale on chocolate chips
and walnuts. For 6 pounds of chocolate chips and 5 pounds of walnuts, the total cost Is $35. For 2 pounds of
chocolate chips and 3 pounds of walnuts, the total cost Is $15. Find the cost for each pound of chocolate chips and each pound of walnuts.
Cost for each pound ( chocolate chips: $
X
0
Cost for each pound of walnuts: $[

Answers

Answer:

chocolate chips: $3.75

walnuts: $2.5

Step-by-step explanation:

lets say chocolate chips cost x dollars and walnuts cost y dollars. we then have

6x + 5y = 35

2x + 3y = 15

multiply the second equation by 3 to get 6x + 9y = 45

subtract the 1st equation from the new equation to get 4y = 10, so y=$2.50

plug this value into the 2nd equation to get x=$3.75

find the area of each plane figure 10.5 km 3.7 km

Answers

Answer:

28.4

Step-by-step explanation:

10.5x2= 21

3.7x2= 7.4

21+7.4 = 28.4

Find the distance between A(3, 2) and B(8,2) a. 2 units b. √5 units c. 3 units d. 5 units​

Answers

Answer:

[tex]\boxed{\sf{5 \quad units}}[/tex]

Step-by-step explanation:

Use the slope formula.

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Use the distance formula.

[tex]: \Longrightarrow \sf{\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}}[/tex]

[tex]\sf{x_2=8}\\\\\\\sf{x_1=3}\\\\\\\sf{y_2=2}\\\\\\\sf{y_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\sqrt{\left(8-3\right)^2+\left(2-2\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

⇒ (8-3)²+(2-2)²

Solve parentheses, first.

⇒ (8-3)²

⇒ 8-3=5

⇒ 5²+(2-2)²

⇒ (2-2)=0

⇒ 0²

Rewrite the problem down.

⇒ 5²+0²

Do exponents next.

⇒ 5²=5*5=25

⇒ 0²=0*0=0

⇒ 25+0

Add.

⇒ 25+0=25

You can also divide the numbers from left to right.

→ 25/5=5

Therefore, the distance between (3, 2) and (8,2) is "5 units", which is our answer.

I hope this helps. Let me know if you have any questions.

17/3x+17-2/3x-15 what is the solution

Answers

Answer:

Step-by-step explanation:

[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]

                               [tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]

pls help pls help pls help

Answers

Answer: 336ft²

Step-by-step explanation:

The polygon in the image provided is a trapezoid.

The formula for the area of a trapezoid is [tex]A=(\frac{a+b}{2} )(h)[/tex]

Where

A is the area

a is one of the bases (24 for this)

b is the other base (32 for this)

and h is the height (12 for this)

Sub the values into the formula and solve

[tex]A=(\frac{24+32}{2} )(12)\\A=(\frac{56}{2} )(12)\\A=(28)(12)\\A=336[/tex]

Answer:

336

Step-by-step explanation:

24 x 12 = 288. 12 x 8 = 96 divided by 2 is 48. 288 + 48 = 336

mrs. matthews gave a test to her 120 science students. if she gives 5 bonus points to each test grades , how will this affect the mean , median , and mode scores?

Answers

The answer would be nothing. You should give up the test because its useless to do at this point. The answer didn’t specify what points they are getting on the test, only how many students she has. So if she added 5, there would have to be a number to add them by. Or subtract. Or divide by that matter.

A set of books sits on a shelf at a store. This line plot shows the thickness of each book. Jessica buys one of the second thinnest books on the shelf. Jada buys the second thickest book on the shelf.
How much thicker is Jada's book than Jessica's book?
Enter your answer in the Box as a mixed number in simplest form.
Please help.

Answers

Answer:

2 inches

Step-by-step explanation:

if there are 2 books that are 1 1/2 thick, the second thinnest book would be 1/12... the second thickest book im guessing would be 3 1/2, so you'd have 2 inches in between

Answer: the answer is, 2 and one half

Step-by-step explanation: I took the test. Please give brainliest

What is the discriminant of the polynomial below?

2x^2 + 3x - 7

A. -5

B. -47

C. 23

D. 65

Answers

C52 d 65 dawg sorry fam lol

Answer:

2x^2 + 3x - 7   (a= 2 , b= 3 , c= -7)

discriminant= b^2 - 4ac

                   = (3)^2 - 4(2)(-7)

                   = 9 + 56 = 65

The answer is D. 65

Hope this helps :)

Evaluate the sum of the finite geometric series -5- 10 - 20 - 40 - . . . - 2560​

Answers

Answer:

-5015

Step-by-step explanation:

Sum of a Geometric Series (finite)

Sₙ = a(rⁿ - 1) / (r - 1)

Step 1 : Finding n

aₙ = -2560r = -10/-5 = 2a = -5aₙ = arⁿ⁻¹ -2560 = -5(2)ⁿ⁻¹512 = (2)ⁿ⁻¹2⁸ = (2)ⁿ⁻¹8 = n - 1n = 9

Step 2 : Substitute the values in the Sₙ formula

S₉ = -5(2⁹ - 1) / 2 - 1S₉ = -5 x 1023S₉ = -5015

What is the slope of
the line?

Give your answer as
a fraction in simplest
form.

Answers

Answer:

3/4

Step-by-step explanation:

two points are

(8,6) and (12,9)

formula :

(y2-y1)/(x2-x1)

(9-6)/(12-8) =

3/4

slope often means rate of change

in this graph

price changes as the number of lemon changes

in economics this graph is called the

supply curve

its called the law of supply

increases in price causes increase in the quantity supplied

if something is worth more, it will cause an increase in price which will cause people who want to make money to try supply more of it

quizlet

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