Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answers
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
Related Questions
If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters
Answers
Answer:
the length of PQ is 8.9 m
Step-by-step explanation:
The computation of the length of PQ in meters is shown below:
Here we applied the Pythagoras theorem
c² = a² + b²
= 4² + 8²
= 16 + 64
= 80
Now square root to the both sides
c = √80
= 8.94427191
= 8.9 m
Hence, the length of PQ is 8.9 m
1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer
Answers
Answer:
1
Step-by-step explanation:
you need to multiplau with is 12x+9-42
A doll's house is
1/8
the size of a real house.
The length of the doll's house is 1.5m.
How long is the real house?
Answers
Answer:
12m,
Step-by-step explanation:
1.5 times 8 =12You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
Answers
1500+5%= 1505 that is the answer I got I hope this was helpful
What are the odds that the spinner lands on red or the number 4?
4
4
2
33
Answers
Answer:
5 to 3
Step-by-step explanation:
The desired outcomes are 4 or red.
Here are all the possible outcomes:
1 red
1 red
1 red
2 green
3 blue
3 blue
4 yellow
4 yellow
The desired outcomes are in boldface. There are 5 desired outcomes.
There are 3 outcomes that are not desired.
odds of 4 or red = 5 to 3
Answer:
5/8
Step-by-step explanation:
Hiiooo! Can someone please help ❤️❤️❤️
Answers
Answer:
tan x = [tex]\frac{f}{e}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan x = [tex]\frac{f}{e}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Please help!
(2/5x +5) - (1/5x - 3)
Answers
Answer:
2x over 5 + 8 + -x over 5
Step-by-step explanation:
I dont know if this is what youre looking for but hope it helps!
Answer:
1/5x + 8
Step-by-step explanation:
Let's simplify step-by-step.
2/5x + 5 − (1/5x − 3)
Distribute the Negative Sign:
= 2/5x + 5 + −1( 1/5x −3)
= 2/5x + 5 + −1 (1/5x) + (−1) (−3)
= 2/5x + 5 + −1/5x + 3
Combine Like Terms:
= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)
= 1/5x + 8
Answer:
= 1/5x + 8
hope this helps. p.s. i really need brainliest :)
I need help on solving these problems.
Answers
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.
Answers
Answer:
B. the number of dimes will always be an even number
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answers
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
Solve the equation 7= -108 – 3.
Answers
-108-3-7 = -118
Answer:
s=-1
Step-by-step explanation:
Solve for x in a triangle. Round your answer to the nearest hundredth
Answers
I don’t have my calculator nearby so just type that in.
Answer:
x= 8.69
Step-by-step explanation:
tanx = opp/ adj
tan44° = x/9
x= tan44° * 9
*make sure your calculator is in degree mode
x= 8.69
5x and x+5 is this equivalent if so explain even if it isn’t still explain lol
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
No it is Not Equivalent
Step-by-step explanation:
5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answers
Answer: pretty sure 25 feet
Step-by-step explanation:
subtract and simplify 5 6/9 - 2 1/3
Answers
Answer:
Your answer should be 3 1/3
Step-by-step explanation:
:)
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answers
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
Remind???? anybody, or nobody???
Answers
Answer:
wdym? like the app remind?
Answer:
you have to download the remind app
x^2 - 6x+ 5= -11 number and type of solutions
Answers
Answer:
no real solutions
3±32i
Step-by-step explanation:
used quadratic formula
y is less then or equal to 1/2x plus 2
Answers
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
help help help help help help help help
Answers
I believe the answer is (3,4)
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answers
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
13.2 inches is 27.5% of what number?
Answers
Answer:
48
My explanations is:
13.2:27.5*100 =
(13.2*100):27.5 =
1320:27.5 = 48
A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?
Answers
Answer:
$4,352 + $126.50= $4,478.50
Step-by-step explanation:
8.50 x 512 = 4,352
11.50 x 7 = 126.50
All together it equals
4,478.50
Hope this Helps! :)
Combine the like terms to create an equivalent expression. 7n + 4n
Answers
Answer:
11n
Step-by-step explanation:
Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de dos horas encontro la cubeta con agua a 3c cual es la diferencia entre la temperatura final y la final
Answers
La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.
Responder:
4 ° C
Explicación paso a paso:
Dado que:
Temperatura inicial del agua = 7 ° C
La temperatura del agua después de 2 horas = 3 ° C
La diferencia de temperatura del agua;
Temperatura inicial - temperatura final
7 ° c - 3 ° c = 4 ° c
La diferencia de temperatura del agua es de 4 ° C
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
Answers
9514 1404 393
Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answers
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
The digit 4 has a greater value in because its value is as much as its value in .
Answers
Question:
Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.
The digit 4 has a greater value in because its value is as much as its value in
Answer:
The digit 4 has a greater value in because its value is as much as its value in 0.04
Step-by-step explanation:
Given
0.04 and 0.004
Required
Which has a greater value of 4
In 0.04, the value of 4 is hundredths i.e. 0.01
In 0.004, the value of 4 is thousandths i.e. 0.001
By comparison:
[tex]0.01 > 0.001[/tex]
So, 4 has a greater value in 0.04 than 0.004
4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?
Answers
(24-(-30))/(12-(-6)) = (24+30)/(12+6)
(54)/(18) = 3
The slope is 3
Does the function model exponential growth decay? g(x)= 1/3 • (2/9)
Answers
Answer:
Decay because 1/3 is between 0 and 1
Answer:
decay
Step-by-step explanation:
