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
2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?
Answers
2x+1=425
2x=424
x=212
Therefore, Brian is on page 212.
Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?
Answers
Answer:
Beth is five years old.
Step-by-step:
Beth + Julio + Gerald + Debra = 38
B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38
Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.
Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38
B + (B -2) + (2B) + (4B) = 38
Simplfy the like terms.
8B - 2 = 38
Add 2 on both sides.
8B = 38 + 2
8B = 40
Divide both sides by 8 to isolate the variable.
8/8 B = 40/8
B = 5
Find the value or measure. Round answers to the nearest tenth, as needed.
Answers
Answer:
its 34
Step-by-step explanation:
its half of the center angles
Find the volume of the cylinder, Round your answer to the nearest tenth if necessary. Use
3.14 for it.
5 ft
9 ft
The volume of the cylinder is about
ft?
Answers
Answer:
V≈706.86
Step-by-step explanation:
V=πr2h ( formula for volume of a cylinder)
Someone please please help please ASAP please please ASAP ASAP please please help please please ASAP ASAP please please ASAP please
Answers
Answer:
Question 5 is positive 8
Step-by-step explanation:
I need to see the number line for question 4
Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be 17 . Who is correct? Explain and justify your answer by showing work.
Is correct because___________________________
Answers
Answer:
Step-by-step explanation:
have you gotten the answer yet or found out how to resolve this problem?
which one is a scaled copy
Answers
Answer: D
Step-by-step explanation:
I believe it’s D because a scaled copy is similar to the original shape, but with different shapes. It might be C, but however in math, to make a scaled copy, you have to multiply length number with the same number. (Example: Length is 2, so the scaled copy is 4.)
I hope you have a good day.
PLEASE HELP FAST 20 POINTS! I need A. And B.
Answers
Answer:
Diamater is independent because it will always be the constant so it will keep going up by 2
Cost is dependent because it relies on the diamater
Step-by-step explanation:
Mrs. Salwierz ran 31 kilometers in 6 hours. If she ran at a constant speed, how many kilometers did she run in 4 hours?
Answers
Answer:
20.67 km mr salwierz ran in 4 hours
by using unitary method
Can someone find the area of the kite?
Answers
Answer 40
Step-by-step explanation:
20m
because d1xd2÷2 = 20
Can anyone explain to me what to do here? I've been looking at this for like..days and...I still don't get it...
Answers
Answer:
I think u have to find the distance.
Each point is given a distinct letter and like wise you have to count the distance between the two points given.
Step-by-step explanation:
Like, 1)distance between A and R when A = -11 and R = -9
their distance is 2 units.
Likewise, 2) RY = 6 units
3) EU = 7 units
4) WD = 5 units
5) EL = 12 units
What value of x make the equation 3(x - 2)=3x + 4 true?
Answers
Answer:
There are no solutions.
Step-by-step explanation:
What are the opposites of 9, −2.7, 3.35, and 6
1
5
? Enter the answers in respective order, each separated by a comma.
Answers
Answer:
Step-by-step explanation: -9,2,-7,-3,-35, and -6
PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answers
Answer:
22
50
Step-by-step explanation:
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answers
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
Question 1 (1 point)
Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag.
What is the probability of selecting an orange jelly bean, putting it back, and then selecting a green jelly bean?
Question 1 options:
120
350
14
230
Question 2 (1 point)
A spinner is spun and a number cube is rolled. What is the probability that a blue will be spun on the spinner and a four will be rolled on the number cube?
Question 2 options:
124
210
112
13
Question 3 (1 point)
An employee at a pet shop randomly selects two fishes from a tank where there are 5 guppies, 4 platyfishes, and 3 rasboras. What is the probability that both are platyfish?
Question 3 options:
0.08
0.58
0.09
0.6
Question 4 (1 point)
Eleven purple marbles, seven orange marbles and two pink marbles are in a bag. What is the probability of selecting a purple marble, not replacing it, and then selecting an orange marble?
Question 4 options:
19%
20%
21%
22%
Question 5 (1 point)
A coin is flipped twice. What is the probability that the coin will land on tails on the first flip and will land on tails again on the second flip?
Question 5 options:
14=0.25=20%
14=0.20=25%
12=0.25=25%
14=0.25=25%
Question 6 (1 point)
What is the probability of spinning a green and then spinning a yellow?
Question 6 options:
13
412
423
148
Question 7 (1 point)
What is the probability of selecting an Ace, not replacing it, and then selecting a King?
Note: Please, enter only numeric portion of your answer in the box as a decimal rounded to the nearest hundredth.
Example: 0.75
Question 7 options:
Question 8 (1 point)
A cookie jar contains 6 sugar cookies, 4 lemon cookies, and 2 chocolate cookies. Anne randomly chooses 1 sugar cookie from the jar, replaces it, then chooses a chocolate cookie.
Question 8 options:
111
112
823
13
Question 9 (1 point)
Calculate the probability of each scenario and then match the answer to each question.
Question 9 options:
15
415
1.
What is the probability of spinning an even number on the first spinner and vowel on the second spinner?
2.
What is the probability of selecting a red jelly bean, not replacing it, and then selecting an orange jelly bean?
Question 10 (1 point)
A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white sock, not replace it, and then draw another white sock without looking?
Question 10 options:
0.10=10%
0.098=9.8%
0.078=7.8%
0.08.=8.3%
0 of 10
Answers
Answer:
#1 . 3/50
#2 . 1/24
#3 . 0.9
#4 . 22%
#5 . 1/4 = 0.25 = 25%
#6 . 1/48
#7 . 0.05
#8 . 1/12
#9 . 1 - 1/5 2 - 4/15
#10 . 0.083 = 8.3%
Step-by-step explanation:
i took the quiz
Answer:
#4- 20%
I took the test and saw that a person who answered mistaken this question. I though this would be helpful. :)
what's
[tex]12 + 24 \div 6[/tex]
Answers
36 divide by 6 is 6
Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?
Answers
Answer: $6,012
Step-by-step explanation:
if the simplified equation is 8,000(0.96)^7, plug it into desmos and round it
Can someone seriously help me
Answers
Answer:
6 inches
Step-by-step explanation:
The mode is the most frequently occurring number.
The mode of Martha's Fish is 21.
The mode of Jamie's Fish is 15.
21 - 15 = 6
The mode of Martha's fish is 6 inches longer than the mode of Jamie's fish.
can you help me solve this
4x + 33 / 9 = -9
Answers
Answer:
4x + 33 / 9 = -9
multiply both side by 9;
9x(4x + 33 / 9 )= -9 x(9)
36x + 33 =-81
36x = -81-33
36x = -114
x = (-114)/36
Step-by-step explanation:
Answer:
4x+33/9= -9 (reduce the fraction)
4x+11/9= -9 (move the constant to the.
right)
4x = -9- 11/9
4x = -38/3 (divide both sides by 4)
x = -19/6
5. Evaluate each expression if x is 1, y is 2, and z is 3. (Lesson 6-15) a. 77² – Z b. (x+4)3 - y c. y(x+3) d. 07- y + z)? i need help
Answers
Answer:
A) 5927
B) 13
C) 8
D) cannot read expression
Step-by-step explanation:
A) (77^2)-2 = 5927
B) (1+4)*3-2 = 13
C) 2(1+3) = 8
Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?
Answers
Answer:
(6^4 x 2^-9)
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
if your smart what is 1 + 1= ?
Answers
1 + 1 = 2
Answer:
1+1=2
easy
plz mark as brainliest
What is the following sum of 3/10 + 39/100
Answers
Answer:
.69 is the answer to the question
PLEASE HELP SOMEONE I WILL GIVE YOU BRAINLIEST!!!!
Answers
Answer:
help with what exactly
Step-by-step explanation:
Answer:
What’s the question tho?
Step-by-step explanation:
need answers asap please besties<3
Answers
Answer:
The answer would be -19.8
Step-by-step explanation:
Hope this helps
The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%
Answers
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
Elvira was ordering Pretzels for the snackline at her school. She paid 25 cents for each
pretzel plus a $20 delivery fee. How many pretzels can she order with a budget of $100?
Write the Inequality (What's her starting cost, what's changing, what's her total?)
Solve the Inequality
What does it mean?
Answers
Answer:
100 -20 divided by 0.25=x
Step-by-step explanation:
you subtract 20 first, then you divide the the answer by 0.25, the answer is 80, so your answer is 320
1. Add: 85 + (-96) *
Help
Answers
Answer:
Your answer is -11
Step-by-step explanation:
85-96=-11