Explain why two triangles are always similar if they have two matching angle pairs

Answers

Answer 1

Answer:

Step-by-step explanation:

They are similar by angle-angle similarity.


Related Questions

please help! thanks :))

Answers

because you shade in everything to the left

Feliz and Mary spent 5 hours over the weekend building 2 model planes. They spent an equal amount of time building the model planes. How long did it take them ti build each plane?

Answers

Answer:

They spent 2hrs and 30min

Step-by-step explanation:

If you cut 5 in half you get 2.5

60 cut in half equals 30

In other words... 2.5 = 2hrs and 30min

Answers

A.) 5.9
B.) 7.3
C.8.1
D. 5.8

Answers

Answer:

The choice A) 5.9

Step-by-step explanation:

[tex] \sin(36) = \frac{x}{10} \\ \\ 0.587785 = \frac{x}{10} \\ \\ x = 10 \times 0.587785 \\ \\ x = 5.87785 \\ \\ x = 5.9[/tex]

A because 5.9 is the right answer

A football field measures 300 feet in length. It can also be expressed as approximately 5. 7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3.

Answers

The most reasonable value of n  n = -2.

We have given that the length of the football field = 300 feet

It can also be expressed as approximately  [tex]5.7\times 10^{n}miles[/tex]

What is the value of one mile in feet?

Also, 1 mile = 5280 feet....(1)

We have to find 1 feet so divide both side of equation (1)by by 5280 we get,

[tex]1feet=\frac{1}{5280}[/tex]

Now, for 300 feet is,

[tex]300feet=\frac{1}{5280}(300)[/tex]

[tex]300 feet=0.056818181=0.057miles[/tex]

In scientific notation we have,

[tex]300 feet=5.7\times 10^{-2}miles[/tex]

Therefore we get  n = -2.

To learn more about the value of power of 10 visit:

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Find the surface area of this triangular prism.

Answers

I think this is how you do it! Hope this helps :)

what is the value of this expresion?
10+8÷2

Answers

Answer:

14

Step-by-step explanation:

Use order of operations: divide before adding

10 + 8 ÷ 2

10 + 4 = 14

Answer:

14

Step-by-step explanation:

10 + 8 ÷ 2 =

10 + 414

the value of expressions is 14

(q+4)(9q+5)=0 solve for q

Answers

Answer:

q = -4
q = -5/9

Step-by-step explanation:

Hi!

To solve this question, we can use the zero product property.

What is the Zero-Product property?

The zero product property states that if one factor is equal to 0, then the whol equation is equal to 0.

We have (q+4)(9q +5) = 0

That means either q + 4 = 0, or 9q + 5 = 0.

Solve:

q + 4 = 0q = -4

9q + 5 = 09q = -5q = -5/9

We can check both cases:

(-4 + 4)(-36 + 5) = 0

0(-31) = 0

0 = 0

(-9/5 + 4)(9(-5/9) + 5) = 0

(2.2)(-5 + 5) = 0

(2.2)0 = 0

0 = 0

Kabita has two bags. In the first bag there are 5 blue discs and 3 red discs. In the second bag there are 7 blue discs and 4 red discs. Kabita takes at random a disc from the first bag. She then takes at random a disc from the second bag


Work out the probability that kABITA takes 2 red discs

Answers

The probability that Kabita would take 2 red discs from the bags is 3/22.

What is probability?

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability that Kabita would take 2 red discs = (number of red discs in bag 1 / total number of discs in bag 1) x  (number of red discs in bag 2 / total number of discs in bag 2)

(3/8) x (4/11) = 3/22

To learn more about probability, please check: https://brainly.com/question/26321175

If the result of a division problem is written as x^3 + 2x^2 + 3x - 4 = (x^2 + 3x + 6) (x - 1) + 2, Identify the dividend, quotient, divisor, and remainder.

Answers

Answer:

step by step ✌️

guys please help...........................................................................

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

We have given two parallel lines and two lines intersecte each other and act as a transverse Due to the intersection between two parallel and two traverse lines a triangle is formed. The measurements of the given triangle are 60° , 20° and C

To Find :-

We have to find the values of angles A, B and C

Let's Begin :-

Here, we have

1 triangle whose measures are 60° , 20° and C

Therefore,

By using Angle sum property

ASP states that the sum of all angles of triangles are equal to 180°

That,

[tex]\bold{\angle{X + }}{\bold{\angle{Y + }}}{\bold{\angle{Z = 180}}}{\degree}[/tex]

Subsitute the required values,

[tex]\sf{ 60{\degree} + 20{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ 80{\degree} + C = 180{\degree}}[/tex]

[tex]\sf{ C = 180{\degree} - 80{\degree}}[/tex]

[tex]\sf{ C = 100}{\degree}[/tex]

Thus, The value of C is 180°

Now,

We have to find the measurement of Angles A and B

Here,

Angle B , unknown angle and Angle C lie on a straight line and we know that the angle formed by straight line is 180°Let the unknown angle be x which is equal to 20° ( Alternative interior angles)

Therefore,

[tex]\sf{\angle{B + }}{\sf{\angle{ x + }}}{\sf{\angle{C = 180}}}{\degree}[/tex]

[tex]\sf{\angle{ B + 20{\degree}+ 100{\degree} = 180{\degree}}}[/tex]

[tex]\sf{\angle{ B + 20{\degree} = 180{\degree}- 100{\degree}}}[/tex]

[tex]\sf{\angle{ B = 80{\degree} - 20{\degree}}}[/tex]

[tex]\sf{\angle{ B = 60{\degree}}}[/tex]

Now,

A, B and 100° lie on a straight line and we know that the angle formed by straight line is equal to 180°

Therefore ,

[tex]\sf{\sf{A + }}{\sf{\angle{B + }}}{\sf{ 100{\degree} = 180}}{\degree}[/tex]

[tex]\sf{\angle{ A + 60{\degree} = 180{\degree} - 100{\degree}}}[/tex]

[tex]\sf{\angle{ A = 80{\degree} - 60{\degree}}}[/tex]

[tex]\sf{\angle{ A = 20{\degree}}}[/tex]

Hence, The measure of Angles A, B and C are 20° , 60° and 100° .

You ran 3.4 miles. Your penpal from Germany ran 5 km. Who ran the greater distance? (1 mile = 1.61 km)


You
Your friend


PLS HURRY

Answers

Answer:

You ran a farther distance.

Step-by-step explanation:

First we will have to convert the 3.4 miles to km.

3.4x1.61=5.474 km

5.474 is greater than 5 km.

Therefore, you ran a farther distance.

Tracy placed a order for 5/6 of a sack of brown rice 1/6 of a sack white rice. How much more brown rice did Tracy order?

Answers

Answer:

4/6 = 2/3

Step-by-step explanation:

I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.

5/6 more bc u subtract 1/6 from 6/6

Hailey drew this diagram to represent the equation `2x+16=50`, but she made a mistake.



What equation does Hailey’s tape diagram represent?

Answers

Answer:

x+18=50

Step-by-step explanation:

2+16+x=50 and simplify

Hailey's diagram represents 2 + x + 16 = 50.

When there are individual boxes as such, it typically means that you will combining, or adding them all together.

For it to be correct, 2x should be together as stated in the given equation:

     50

[   2x   ][16]

 

What is the slope of a line perpendicular to the line whose equation is 3x+y=83x+y=8. Fully simplify your answer

Answers

Answer:

(−13)

Step-by-step explanation:

all lines perpendicular to it have a slope of

(

1

m

)

3

x

y

=

8

can be written as

XXXX

y

=

3

x

8

which is the slope intercept form, with a slope of

3

Any line perpendicular to

3

x

y

=

8

will have a slope of

(

1

3

)

With the spinner shown, the theoretical probability of landing on 2 is 0.25 . Which number of spins would most likely result in a relative frequency that is closest to the theoretical probability?

Answers

Answer:the question just written out doesnt give a crazy amount of context but i believe the answer is 4 spins

Step-by-step explanation:

I NEED HELP, PLEASE?

A) CD is an altitude of ΔABC
B) AE is a median of ΔABC
C) AD is an altitude of ΔABC
D) AD is an median of ΔABC

Answers

Answer:

option B and Option C are correct since

AE divides BC into 2 equal parts so AE is Median of ∆ABC

AD makes a 90° Angle with BC Therefore AD is Altitude.

Write and solve an equation to answer the question. What number is 16% of 80?

Answers

Answer:

12.8

Step-by-step explanation:

(16*80)/100

If six chocolate bars cost £3. 80 how much is for 5

Answers

Answer:

5 chocolate bars cost 3.15 (i don't have that currency symbol on my keyboard)

Step-by-step explanation:

First, let's find out what one costs, so it'll be easier.

3.80/6=0.63

Multiply the amount for one chocolate bar by five:

0.63*5=3.15

And there you go! 5 bars cost 3.15

I hope this helped!

Answer:

 £4.56

Step-by-step explanation:

5 chocolate bars= £3.80

1 chocolate bar= £3.80 / 5 = £0.76

Therefore, 6 chocolate bars= £0.76 x 6 =  £4.56

y−21<85. Graph the solution.

Answers

Answer:

y < 106

Step-by-step explanation:

Step 1: Add 21 to both sides.

[tex]y-21+21 < 85+21[/tex] [tex]y < 106[/tex]

Therefore, the solution is y < 106.

To graph it on a graph:

circle 106 on the graph- DO NOT FILL IN THE CIRCLEpoint the arrow to the left direction

A rectangle has sides measuring (6x 4) units and (2x 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points).

Answers

The area of the rectangle is [tex]12x^{2} + 74x + 44[/tex]

The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial

The closure property of the polynomial is demonstrated as follows:

[tex](6x + 4) (2x + 11) = (2x + 11 )(6x + 4)[/tex]

The sides of the rectangle are (6x + 4) and (2x + 11). Therefore,

What is the area of a rectangle?

The area of the rectangle is,

[tex]area = lw[/tex]

where,l = length,w = width.

Therefore, by using formula,

[tex]area = (6x + 4)(2x + 11)[/tex]

[tex]area = 12x^{2} + 66x + 8x + 44[/tex]

[tex]area = 12x^{2} + 74x + 44[/tex]

b).The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial(it has three terms)

c).When something is closed, the output will be the same type of object as the inputs. Therefore, to demonstrate the closure property:

[tex](6x + 4) (2x + 11) = (2x + 11 )(6x + 4)[/tex]

To learn more about the area of rectangle visit:

https://brainly.com/question/1549055

the original price of the dress is 350.00. it is on sale for 30% off. which the following is the new price of the dress. a.105 b.245. c380 d.455

Answers

The answer would be B! This is because when multiplying 350 by .7, you are taking away the 30% which was originally part of the 350. Hope this helps!

Solve for the value of r.
180= (6r-4) +94

Answers

Answer:

r=15

Step-by-step explanation:

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Answer:

r=15

180= 6r-4+94

180 = 6r+90

180-90 = 6r

90=6r

r=90/6

r=15

Step-by-step explanation:

Brainleist

Find the slope of the line m=

Answers

Answer:

See below.

Step-by-step explanation:

(-3,-2),(1,-2)

-2-(-2)/1-(-3)

-2+2/1+3

0/4

The slope is 0.

-hope it helps

WOW I am in 4ht grade and you dont even know what 19 + 32 = 51

Answers

Answer:

it's 4th ok ok okokok okokokok

What is the ordered pair for letter R in the image to the left? A (5, 1) B.) (1,5) C. (5,0) D. (0,5)

Answers

Answer:

Your answer would be D. (0,5)

Step-by-step explanation:

PLEASE HELP QUICK!
Determine cos(F) and cos(E).

Answers

Answer:

B. cos F = 9/41, cos E = 40/41

Step-by-step explanation:

use SOH CAH TOA

cosine is CAH which is adjacent over hypotenuse

the adjacent side to F is 9 and the hypotenuse is 41 so 9/41

the adjacent side to E is 40 and the hypotenuse is 41 so 40/41

hope this helped! :)

Solve the equation using square roots
3x^2+22=49

Answers

3x^2= 49-22
3x^2 = 27
x^2= 9
x= 3 or x= -3

Need help solving this problem

Answers

The answer is 8.2 because when you add all sides that is what it said

Answer:41°

Step-by-step explanation:

find the area of each circle, to the nearest tenth.

r =6.3

Answers

Area of Circle = πr^2

Since we know that r=6.3:

π(6.3)^2=39.69 π=124.690

So, the area would be 124.690.

Please help me please

Answers

Answer:

Step-by-step explanation:

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

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