Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of each congruence theorem to prove that need to know.

Answers

Answer 1

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

https://brainly.com/question/15274307

Students In Mrs. Marquez's Class Are Watching A Film On The Uses Of GeometryIn Architecture. The Film

Related Questions

Craig wants to create a right triangle with side lengths 4 centimeters, 6 centimeters, and 8 centimeters. Is this possible? Why or why not?

Answers

Answer:

It's not possible

Step-by-step explanation:

In right triangle hipotenuse must be the longest side so it'll be 8 and legs will be 4 and 6.

So

[tex]4 {}^{2} + 6 {}^{2} [/tex]

Doesn't equal to

[tex]8 {}^{2} [/tex]

16+36=52 not 64

42x14.2 what is the answer and steps

Answers

Answer:

I hope this helps

Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?

Answers

Answer:

3185

(I'm not sure if it's correct, if it's wrong I apologize in advance.)

Questlon 21 of 25
What are the vertex and x-intercepts of the graph of the function given below?
- 2x - 24

Answers

[tex] - 2 \times - 24 = - 2( \times + 12[/tex])

2.) Functions or Not a Function? Explain?


Answers

Answer:

answer

Step-by-step explanation:

Not a function.

When x repeats, it is automatically not a function. If y repeats, it is still a function.

The answer is that it is not a function. The reason why is because if there is a repeating x, it cannot be called a function

Someone plz help me :(

Answers

Answer:

B

Step-by-step explanation:

I only help you because you have nezuko as profile picture

last time i'm asking about this bc i keep getting this wrong!!

Answers

I think answer is 150, if it’s wrong I’m sorry

need helps i will give brainliest

Answers

Answer:

2401

Step-by-step explanation:

two thousand four hundred and one

Step-by-step explanation:

First let's put your equation

[tex]7 {}^{4} [/tex]

This also be phrased as

[tex]7 \times 7 \times 7 \times 7[/tex]

Now let's start solving

[tex]49 \times 7 \times 7 [/tex]

Multiply again and we get

[tex]343 \times 7[/tex]

and finally when we multiply again

[tex]2401[/tex]

Have a good day :) !

A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?

Answers

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

The two numbers are 3/2 and 6.

What are reciprocal numbers?

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

For more references on reciprocal numbers, click;

https://brainly.com/question/15590281

#SPJ5

Someone please solve and explain part a(i)

Answers

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

what is 4xy - 5y² - 3x² from 5x + 3y² - xy ? ​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex]

[tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex]

[tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex]

[tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]

is 2(x+8)-3(y-7) linear or non linear?

Answers

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

A sixth grade class has 12 boys and 24 girls.

For every 2 boys, there are 4 girls. Do you agree with this statement? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.

If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg

Answers

Answer:

The answer is 0.45359237.

Step-by-step explanation:

I assume you are converting between kilogram and pound.

Answer:

2.20462

Step-by-step explanation:

1000 / 455 = 2.20462

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

Answers

Answer:

9

Step-by-step explanation:

Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?

if a + 5 = 14 just subtract 5 from 14

a + 5 = 14

a = 14 - 5

a = 9

------------check

9+5=14

14=14

the answer is good

What is the slope of the line?

Answers

Answer:

thanks

Step-by-step explanation:

30 x 50 x 60 - 100 +150

Answers

90000-100+150
90000+50
90050

On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868

Answers

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

What is a limit in calculation.

Answers

Answer:

I think this was what you was looking for; The limit is the value of the function approaches as the input approaches mentioned value.  Limits are used as a way of making approximations used in the calculation as close as possible to the actual value of the quantity. Let us understand the limit formula in detail in the following section.

Step-by-step explanation:

Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?

Answers

Answer:

B. 4 steps

Step-by-step explanation:

[tex]84 \div 21 = 4[/tex]

just divide total number of steps by number of friends to derive the answer.
given:

84 snacks

21 friends

to find:

how many snacks each of her friend gets.

solution:

[tex] \frac{84}{21} [/tex]

[tex] = 4[/tex]

hence, each of her friend will get 4 snacks.

answer= option B

SOMEONE, PLEASE HELP!!! I'll mark brainliest for the fastest, correct answer. I'm giving 15pts!

Evaluate P(6, 2).

Answers

Answer: Permutation is 30

Step-by-step explanation:

Is this a function? I don’t think it is but I’m not sure.

Answers

Answer:

no

Step-by-step explanation:

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

in the diagram below M is the midpoint of KL​

Answers

What are you asking? Could you clarify the questions bit more?

Evaluate [tex]\frac{15}{k}[/tex] when k =3

Answers

if k=3 then the answer is 5

I need help with this and thought if any of you guys can help

Answers

Answer:

not enough info .

Step-by-step explanation:

sorry it needs more info

plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

100 divided by 50 is equal to 2

Zara ate 50 almonds last week

pls mark brainliest if this helped :)

please help
y∝1/√x If y=5
when x=36 find,
x when y=3

Answers

Answer:

x = 100.

Step-by-step explanation:

y ∝ 1/√x

y = k /√x    where k is a constant.

When x = 36 y = 5 so we have:

5 = k / √36

5 = k / 6

k = 30

So we have the relation:

y = 30 /√x

When y = 3

3 = 30/ √x

√x = 30/3 = 10

x= 100.

please someone solve this please asap​

Answers

Answer:

Step-by-step explanation:

12-b

13-c

14-a

15-d

16-b

17-c

18-d]

Average velocity = v – = Displacement between two points Elapsed time between two points v – = Δ x Δ t = x 2 − x 1 t 2 − t 1 . It is important to note that the average velocity is a vector and can be negative, depending on positions x 1 and x 2 .

Step-by-step explanation:

wow,1st time u have asked important question

Other Questions
Listen to three people talking about a 30-day challenge. Are the sentences true (T) or false (F)?1 Paul is doing the challenge because of a family member. _______2 Paul is finding his classes easy. _______3 Paul likes his teacher. _______4 Nanowrimo takes place every year. _______5 Only adults can take part in Nanowrimo. _______6 Efe is spending a few hours on his challenge every day. _______7 Efe thinks its important to do something you love. _______8 Louisa wants to work in Germany when shes older. _______9 Its the first week of Louisas challenge. _______10 Louisa is doing the challenge on her own. _______ Which of the following does not show an example of a distracted driver? Anna has a friend pick her up from work after an 18-hour shift, and they ride together. Caleb quickly hits the "skip" button on the radio to go to the next station. Gwen drives home after working for 18 hours straight after covering someone's shift. Quentin glances at a text his mom just sent but does not respond. Solve: 2x^2 -x >15 Show your work. Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form. Substitution Property of EqualityReflexive Property of EqualityAddition Property of EqualityDivision Property of EqualitySymmetric Property of EqualityTransitive Property of EqualityAngle Addition PostulatePick 1 for each blank PLS HURRY!!!! PLS HELP ME IMMA CRY ONGG GGHGHJH Can someone help me with this question 20 cm long 10 cm wide and 5 cm thick as a mass of 500 g determine the greatest pressure that can be exerted by block on the flat surface? what do you think is the reason why there are two kinds of transmission mode in computer networking? ASAP Brainly, right here right now!Examine the comparison between a eukaryotic cell and a prokaryotic cell. Which two lettered choices provide a comparison of structures that encode genetic information for the cells? A) A and D B) B and D C) C and D D) None of these choices, as prokaryotic cells do not contain DNAI am almost certain it is A) a and d) but I need reassurance. State laws known as ____________ limit the time within which a party is allowed to bring suit to collect a debt. can anyone answer this? Acceration is a change in motion over time:True False The process by which a person learns the values, norms and required behaviors which permit him to participate as a member of the organization is called Multiple choice question. organizational normality. socialized acceptance. behavioral normalization. organizational socialization. A 9 in the thousandths place has 10 times the value of a 9 in the ? Place. How much is f(x) = 3(4)x Question # 1 Multiple Select Which features are important when you plan a program? Select 4 options. Knowing what information is needed to find the result. Knowing what information is needed to find the result. Knowing what the user needs the program to accomplish. Knowing what the user needs the program to accomplish. Knowing how many lines of code you are allowed to use. Knowing how many lines of code you are allowed to use. Knowing what you want the program to do. Knowing what you want the program to do. Knowing how to find the result needed. Knowing how to find the result needed. Which group lists the levels of genetic information in order from smallest to largest. ayo help me please im dying of math Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3 Using one paragraph, analyze this photo