PLEASE HELP!!
In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional
information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD?
Answers
A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines
The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;
DB and BC are congruent
The reason for the above selection is as follows:
The information about the isosceles triangle DAC Kiran knows are;
Triangle DAC = An isosceles triangle
Segment AD is congruent to segment AC
Segment AB is a is a line from the vertex point A to the side CD of triangle DAC
The required parameter:
The information Kiran has know so as to show that AB is a perpendicular bisector of CD
Method:
Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector
Solution:
For AB to be a perpendicular bisector, then DB and BC are congruent
Given that DB and BC are congruent, we get;
AB is congruent to AB by reflexive property
Therefore, given that AD is congruent to AC, we have;
Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives
ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule
Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
∠ABD = ∠ABC by definition of congruency
∠ABD and ∠ABC are linear pair angles, therefore;
∠ABD + ∠ABC = 180°
∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property
∠ABD = 180°/2 = 90°
∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD
Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent
Learn more about perpendicular bisectors here:
https://brainly.com/question/15807158
Related Questions
Use the information to diswer
The area of the triangle shown is 40.0 cm2.
?
12.5 cm
What is the height of the triangle?
A. 3.20 cm
OB. 6.40 cm
OC. 13.8 cm
OD. 27.5 cm
Answers
Explanation: Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle. The formula to find the area of a triangle is: a=12hb.
If f(x)=4x−3 and the domain of f is {0, 5, 10}, what is the range of f?
Answers
Answer:
It's the first one
Step-by-step explanation:
What does the word “change “ tell you to do in “keep change flip” for dividing fractions? A) change the sing to multiplication b) change the sing to addition c) change the first fraction d) change the second fraction
Answers
Answer:
A
Step-by-step explanation:
Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Answer:
d change the second fraction
Step-by-step explanation:
i dont know how to explain it but yeah
Pete bought a 16-ounce box of cereal for $3.58. What was the cost per ounce?
Answers
Answer:
Around 0.22 dollars or 22 cents
Step-by-step explanation:
We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...
16/16 = 1
3.58/16 = 0.22375
This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.
please help!!!!!! I will mark brainliest!!!
Answers
Answer:
second dot choice thing
Answer:
The second dot that is the answer.
Step-by-step explanation:
hope this helps.
Suppose a friend tells you she paid a total of $19,875 for a car, and you’d like to know the car’s list price (the price before taxes) so that you can compare prices at various dealers. Find the list price of the car if your friend bought the car in : Lilburn with a percentage of 7%
Answers
Answer:
10.31%
Explanation:
This is the answer
friend bought the car in Lilburn with a percentage of 7% ie the price list of the car is $18483.75.
How do I calculate percentage?If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.The proportion therefore refers to a component per hundred.Per 100 is what the word percent means.The letter "%" stands for it.Percentage, which meaning "per 100," designates a portion of a total sum.The use of percentages is widespread and diverse.For instance, many statistics in the media, bank interest rates, retail discounts, and inflation rates are all expressed as percentages.For comprehending the financial aspects of daily life, percentages are crucial.The friend paid total of $19,875 for a car.
7% of 19,875 = 1391.25.
The list price of the car = 19,875 - 1391.25 = 18483.75
To learn more about Percentage refer,
brainly.com/question/24877689
#SPJ2
Dont google the answer!!!
What is 1+8+473895789507096298759573094587092747638957698745
Answers
Answer:
4.7389579e+47
Step-by-step explanation:
Answer:
4737389578950709629875973094587092747638957698⅞54
Marni buys 2.5 pounds of grapefruit for $4.48. To the nearest cent, how much would 6 pounds of grapefruit cost?
Answers
Answer:
4.48 x (6/2.5) = $10.75
You pick a ceratin amiunt of
Answers
Answer:
Okay so if your current scores are 93, 97, 89 and 81, You would have to score at least a 90. Even if you scored a 100%, the highest you would be able to make is a 92 average.
Step-by-step explanation:
Here's the thing about average, all you do is take all of the numbers, add them up, then divide them by the number of numbers there are.
For example, 93 + 97 + 89 + 81 = 360. There are 4 numbers so you would take 360 and divide it by 4 which gets you 90. 90 is your average.
To figure out the highest score you are able to get, take the highest score you can possibly score (100) and add it to the mix. 93 + 97 + 89 + 81 + 100 = 460. Now, there are 5 numbers. So you take 460 and divide it by 5 which will get you 92.
Hope I helped.
La galaxia de Andrómeda tiene un
diámetro de 100 000 años luz y está
situada a unos 2 000 000 de años
luz de la Tierra. Expresa el diámetro
y la distancia en kilómetros.
(Sabiendo que: un año luz equivale
aproximadamente 9,4608 x 1012 km).
Answers
Answer:
25.7
Step-by-step explanation:
simplify 6^7 over 6^5 leaving the answer in index form
Answers
Answer:
yesrrrrrrrrrrreerrrrrrrreeeeeer
which statement about graph and horizontal line is true?
A. it’s slope is positive
B. it’s slope is negative
C. it’s slope is zero
D. it’s slope is undefined
Answers
what is x+4y=8 show all work
Answers
Answer:
y = -1/4x + 2
Step-by-step explanation:
Let's put this equation in slope-intercept form:
y = mx + b
Equation:
x + 4y = 8
-x -x
4y = -x + 8
/4 /4 /4
y = -1/4x + 2
Answer:
x = 4 Y=1
Step-by-step explanati
8-4y=x
8-4=4
X=4
-2.73= -0.42r
please answer
Answers
Answer:
Today: Thursday, 15 October 2020
Hour: 04.17 WIB (in Indonesian)
____________________________
-2.73 = -042r
r = -2.73/0.42
r = 6.5
Answer:
r = 13/2
hope this is grateful
The algebra teacher said if you square my age then subtract 23 times my age, the result is 50. How old is he?
Answers
Answer:
25
Step-by-step explanation:
Answer:
She is 25
Step-by-step explanation:
25^2 = 625
23*25 = 575
625 - 575 = 50
Scientists from different fields are trying to understand how the global climate is reacting to the changes caused in nature, and by human activities. They have come up with conflicting interpretations. Which of these is the most likely outcome of differences in interpretations made by scientists on the issue of global climate? All old ideas would be discarded. Scientific evidence would be weakened. Scientists would look for new evidence. The limitations of science would be evident.
Answers
Answer:
Scientists would look for new evidence.
Step-by-step explanation:
Anytime scientists have different interpretations, they carry out more experments to look for new evidence. But this is after they must have tested their own hypothesis. If non of these are possible, they set out to get fresh evidences. Having different opinions would make them come up with new ideas with hope that their theories are valid. And it would also make them carry out more experiments for confirmation or for denial.
9. The mass of a dust particle is 0.000000000753 kg, which can be written as 7.53 x 100
kg in scientific notation. What is n?
Answers
Answer:
7.53 x 10²
Step-by-step explanation:
10² two time the 10 is 100
Answer:
Uuuuuuuh. What is n? There's no n in your question.
Step-by-step explanation:
Also that scientific notation equation there is false. It would be 7.53x10 to the 10th power.
The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.
Answers
Answer:
theb correct answer is d VHow does your body’s flexibility naturally change as you age?
Step-by-step explanation:
On a number line, what other number is the same distance from -2.8 as -7.2 is?
Answers
Answer;
1.6
Explanation
What we shall do here is to calculate the distance between the two points on the number line
Mathematically, that would be ;
-2.8 -(-7.2) = -2.8 + 7.2 = 4.4
This means that -7.2 is 4.4 units away from -2.8
So to find other number which is this same distance;
we have -2.8 + 4.4 = 1.6
Jason takes 3 pages of notes during each hour of class. In all, how many hours will Jason have to spend in class before he will have a total of 36 pages of notes in his notebook?
Answers
Answer:
36 pages/12 hours
Step-by-step explanation:
3 pages per hour
36 pages per ? hours
36 / 3 = 12
36 pages per 12 hours
Hope this helps!
Can anyone help me with this please?? Tysm!
Answers
If you turn them all into decimals you get
6.82, 6.28, 6.08, 6.1
Hope this helps :)
Ashley makes y dollars per hour. Richard makes three times as much. How much does Richard make per hour?
Answers
Answer:
3y
Step-by-step explanation:
I need help finding the slope, The y - intercept, and the equation?
Answers
Slope: -2/3
Y intercept: 5
Equation: y = -(2/3)x + 5
Hope this helped :)
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?
Answers
Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
based on the picture below. find the angle measure for lmn.
Answers
Answer:
Step-by-step explanation:
4x + 2x = 90
6x = 90
x = 15
4(15)= 60 for <LMN
2(15)= 30
Function k is a continuous quadratic function that includes the ordered pairs shown in the table.
Over which interval of the domain is the function increasing?
i didnt mean to click B btw
Answers
Answer:
B
Step-by-step explanation:
It appears to be B because this quadratic function faces down (-ax^2) and the vertex or highest point of this function is when x=1. Thus, the interval of the domain that the function increases must be from negative infinity to 1, giving the answer B.
How do you write, 24.23 as a mixed number in simplest form?
Answers
Answer:
24 23/100
Step-by-step explanation:
I think this is the answer.
9514 1404 393
Answer:
24 23/100
Step-by-step explanation:
"Twenty-three hundredths," or 23/100, is a fraction that cannot be reduced. The mixed number version is ...
24 23/100
_____
Additional comment
You start with a denominator that corresponds to the place value of the least-significant digit. Here, that's hundredths, so the fraction you start with is some number of hundredths. Then you reduce the fraction if possible, by canceling all factors of 2 or 5 that you can.
Had it been 23.24, you would start with 23 24/100 and cancel a factor of 4 from numerator and denominator: 23 6/25.
f(x) = -3/(2x-1) find the largest possible domain
Answers
Pls mark brainliest
What are the Slope and Equation of the graph?
Answers
Answer:
Slope=2
Equation of the Graph is y=2x-6
What is the scale factor