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
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:
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Related Questions
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
last time i'm asking about this bc i keep getting this wrong!!
Answers
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.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
Evaluate [tex]\frac{15}{k}[/tex] when k =3
Answers
Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14?
Answers
Answer:
9Step-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 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]Someone plz help me :(
Answers
Answer:
B
Step-by-step explanation:
I only help you because you have nezuko as profile picture
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]
Step-by-step explanation:
wow,1st time u have asked important question2.) 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.
30 x 50 x 60 - 100 +150
Answers
90000+50
90050
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
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
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:
42x14.2 what is the answer and steps
Answers
Answer:
I hope this helps
Is this a function? I don’t think it is but I’m not sure.
Answers
Answer:
no
Step-by-step explanation:
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])
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:
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
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 :)
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
in the diagram below M is the midpoint of KL
Answers
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.
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 :)
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
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
What is the slope of the line?
Answers
Answer:
thanks
Step-by-step explanation:
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 :) !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.)
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.
