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
Simplify the polynomials. : 27. 97 + 47+ n
Answers
Answer:
74.97+n
Step-by-step explanation:
We need to simplify the given polynomial i.e.
27.97 + 47+ n
Here, n is a constant number
Firstly we add 27.97 and 47 such that,
27.97 + 47+ n = 74.97+n
Hence, the simplified form is 74.97+n.
Please help i will give brainleist and 25 points please dont play please
Complementary Angles are two angles that add up to 90 degrees. If ∠1=30 then ∠2=60 because 90-30=60.
Find the missing angle that makes them complementary. ∠3=50 so ∠4=
∠5=25 so ∠6=
∠7=80 so ∠8=
Answers
Step-by-step explanation:
1)90-50= 40°
2)90-25= 65°
3)90-80=10°
Complete the following equation <, >, or = 3.20_ 3.02
Answers
Answer:
Step-by-step explanation:
3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
Answer:
(>) This is your answer ☺️☺️☺️
Which characteristics best describe an acute isosceles triangle
Answers
Answer:
answer is A i and iv
two sides meet at 90°
two sides are equal in lenght
Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?
Answers
Answer:
We can assume that the number of 3-pointers he made in his last game was 10 3-pointers
Step-by-step explanation:
In the question, we have;
The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts
The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts
The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts
Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;
x = 43.5% of 25
[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]
Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game
The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
It is given that the four players from the NBA and their career 3-point percentages are listed below in the table
It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.
What is percentage?It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.
We have in the question that:
The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.
We know that,
[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]
3 - point percentage for Stephen Curry = 43.5%
Number of 3-pointers he attempts = 25
Putting these values in the above formula, we get:
[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]
But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.
Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
Learn more about three pointer here:
https://brainly.com/question/519034
Help plz :)
Determine the measure of each unknown angle using the diagram.
Answers
b. m3 = 74°
c. m4 = 106°
:)
Simmons and Magda do push-ups for exercise. Simmons does 42 push-ups in 360 s. Magda does 24 push-ups in 3 min. Who does push-ups at a faster rate? *
Answers
Answer:
magda
Step-by-step explanation:
simmon
360 second to minutes
360 ÷ 60 = 6 minutes
push up per minute
42÷ 6 = 7
madge
3 minutes
push up per minute
24 ÷ 3 = 8
At birth, a newborn's head is about 25% of its total length. If a baby is 18 inches long, about how many inches is the baby's head?
Answers
Answer:
18 × 0.25 = 4.5
Step-by-step explanation:
25% is multiplying by 0.25
Answer:
4.5 inches long
Step-by-step explanation:
25/100*18
18/4
4.5 inches long
Graph a line that goes through (0, -2) and grows by 4
Answers
50 points! Look at the picture attached. Random answers will be reported
Answers
Step-by-step explanation:
Ans is here in picture plz give me brilliant ans
Answer:
x > 14Step-by-step explanation:
Triangle inequality: for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining sideApply to the given triangle:
2x + 1 + x + 16 > 2x+ 31 ⇒ 3x - 2x > 31 - 17 ⇒ x > 142x + 1 + 2x + 31 > x + 16 ⇒ 4x - x > 16 - 32 ⇒ 3x > -16 ⇒ x > -16/32x + 31 + x + 16 > 2x + 1 ⇒ 3x - 2x > 1 - 47 ⇒ x > - 46Combination of the three inequalities:
x > 142. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answers
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
Divide £2680 in the ratio 5:3:2.
Answers
Answer:
Step-by-step explanation:
1) find the total of the ratio parts
5 + 3 + 2 = 10 parts in total
2) divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 * 268 = 1340
3 * 268 = 804
2 *268 = 536
The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively
What are ratios and proportions?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.
The number will be distributed as below:-
5 + 3 + 2 = 10 parts in total
Divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 x 268 = 1340
3 x 268 = 804
2 x 268 = 536
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
24m-²n x 1/4mn
please need help
Answers
Answer:√ 25
log
13 ( 28 )
√ 75
Step-by-step explanation:
These word questions confuses me, can someone explain this step by step
Answers
Answer:
[tex]10\pi \: cm[/tex]
Step-by-step explanation:
Please mark as brainliest
Evaluate the following expression:
62 - 7(8 + 6 – 3²)
ANSWER STAT!!
Answers
Answer:
27
Step-by-step explanation:
please help me to find
Answers
Answer:
2/3
Step-by-step explanation:
10/15 = 2/3
15/24 = 2/3
If 20 buckets of sand are used, how many buckets of EACH of the following will be needed?
Answers
Buckets of cement needed is 5 and sand needed is 20
Solution:
Given that Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1 : 4 : 6
cement : sand : gravel = 1 : 4 : 6
Let the cement needed be "1x"
Let the sand needed be "4x"
Let the gravel needed be "6x"
Given that 20 buckets of sand used
4x = 20
x = 5
Thus buckets of cement needed = 1x = 1(5) = 5
Buckets of sand needed = 4x = 4(5) = 20
5 buckets of cement and 20 buckets of sand are needed
I need help can some one help me
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
you have to see what leangth matches
Help Me. Four cards are placed into a bag and two are drawn, 1 at at time, without putting the first card back into the bag. The four cards are 2, 3, 5, and 7. What is the probability of pulling a 3 and then pulling a 7?
Answers
Answer:
Step-by-step explanation:
what is the surface area of the image below?
Answers
Answer:
Total Surface Area = 24.887864491364 inches^2
itz pretty ez unless ur lazy tho
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answers
Answer:
HELP ME!?
Step-by-step explanation:
20 Points for 4 questions. BRAINLIEST also
Answers
Answer:
Image #1: -8 and 8
Image #2: -17 and -1
Image #3: 8 and 4
Image #4: -10±5√2
pls help :D
i know how to do this but still
Answers
Answer:
x = 12
Step-by-step explanation:
[tex]3x-19=\frac{7}{4} x-4\\\\3x-\frac{7}{4} x=-4+19\\\\\frac{5}{4} x=15\\\\x=12[/tex]
PLEASE HELP ME MY MOM SAYS IF I GET ALL MY GRADES CAUGHT UP I CAN GET A PUPPY!!!!!
Answers
Answer:
Step-by-step explanation:
dude if you want good grades you should be studying instead of begging for an answer, you’ll never get anything in life by cheating or asking online for answers. I’m really not trying to be mean i’m just saying the honest truth. But if you really want a puppy that bad. I guess ill help
Find the surface area of the prism
Answers
slated surface
17 × 20 = 340
2 triangle sides
2 × 8 × 15 ÷ 2 = 120
backside
8 × 20 = 160
bottom
15 × 20 = 300
sum all of it
340 + 120 + 160 + 300 = 920
can I get brainliest
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answers
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
What’s smaller... 1.6 or 1.12 ?
Answers
keep in mind that there’s two decimal places, which automatically makes it smaller
Answer:
1.12
Step-by-step explanation:
1.6 1.12
PLZZZ HELP 25 POINTS HERE PLZZZ HELP
Answers
Answer:
Step-by-step explanation:
The first one is a wide U above the X axis.
The second one is an upside down U below the X axis.
The third one is a narrow U above the X axis.
The center of the U should always be the origin.
Answer:
Step-by-step explanation:
Joe drinks 10 liters of water every week. There are approximately 19 liters in 5 gallons. How many gallons of water would Joe drink in 3 weeks? (round to nearest whole number for answer, there are 2 steps to this problem first set up proportion)
Answers
Answer:
8gallons
Step-by-step explanation:
If Joe drinks 10 liters of water every week, then;
10liters = 1 week
After 3weeks;
x litres =3 weeks
Divide both expressions
10/x = 1/3
x = 3*10
x = 30litres
This means he consumes 30litres in 3 weeks
If there are approximately 19 liters in 5 gallons, the;
19litres = 5gallons
To determine the number of gallons consumed in 3 weeks;
30litres = y
Divide both expressions
19/30 = 5/y
Cross multiply
19 * y = 30*5
19y = 150
y = 150/19
y = 7.89
y ≈ 8 (to nearest whole number)
Hence Joe drinks 8gallons of water in 3weeks
What is the degree of the polynomial below?
x ^6 +3 - 2x^2 + 4x^7 - 4x
O A. 7
O B. 6
C. 5
D. 4