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
NEED HELP ASAP WILL GIVE 100 points to who anwsers! Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below. Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28. Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression? –6x – 1 –6x + 2 6x + 1 6x – 2
Answers
Answer:
6x-2
Step-by-step explanation:
Celia’s simplified expression:
6x - 2.
The last option is correct.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given Phrase:
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2).
That means,
-4x(1 -3) - (2x +2).
She checked her work by letting x = 5 in both expressions.
That means,
-4(5)(1 -3) - (2(5) +2).
= 40 - 12
= 28.
To find the simplified expression:
-4x(1 -3) - (2x +2),
= 6x - 2.
Therefore, the required expression is 6x - 2.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
Write the equation of a line in slope-intercept form with a slope of -1 and a y-
intercept of -1.
y = -x - 5
y = -5x - 1
y = -x-1
y= -5x -5
Answers
Answer:
y = -x - 1
Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
Plug in the slope and y intercept into the equation
y = mx + b
y = -x - 1 is the equation in slope intercept form
Answer:
y = -x - 1
Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
Plug in the slope and y intercept into the equation
y = mx + b
y = -x - 1 is the equation in slope intercept form
Work out the product of 2⅔ and 3¾
Answers
Answer:
[tex]6\frac{5}{12}[/tex]
Step-by-step explanation:
[tex](\frac{8}{3} * \frac{4}{4} )+(\frac{15}{4} * \frac{3}{3} )[/tex] - so they have the same denominator
[tex](\frac{32}{12} + \frac{45}{12} )\\\\ \frac{32+45}{12} \\\\\frac{77}{12} \\\\[/tex]
A bicycle has a listed price of $563.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$613.30
Step-by-step explanation:
8.75% = 0.0875
8.75% of $ 563.95 is $ 0.0875*563.95
$ 0.0875*563.95 is tax in dollars
the total cost = $ 563.95 + $ 0.0875*563.95 = $ 613.295 = $613.30
You start at (-3, 5). You move right 3 units and down 7 units. Where do you end?
Answers
Answer:
(0,-2)
Step-by-step explanation:
-3 plus 3 equals 0 and 5 minus 7 equals -2, so (0,-2).
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.
first person who answer correctly gets a brainllest The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8?
Answers
Answer:
2(3(8))+2(8)=64
Step-by-step explanation:
Here, w represents the width of the rectangle,
∵ length of the rectangle is 3 times the width of the rectangle,
So, length = 3w,
Since, the perimeter of a rectangle, P = 2(length + width)
= 2(w + 3w)
= 2w + 2(3w)
If P = 64 feet,
⇒ 2w +2(3w) = 64
⇒ 2w + 6w = 64
⇒ 8w = 64
⇒ w = 8
Verification :
P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet
Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64
Note : a solution obtain from an equation is verified by substituting the value in the equation.
Answer:
im sorry this doesn't help but its not d
Step-by-step explanatio
3x - 9(x-2) = 18x + 30
Answers
X= -1/2
Decimal form
X=-0.5
Pls mark me brainliest
PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!
Answers
Answer:
lines a and b would be parallel, and the reason is <3 and <6 are alternate interior angles
Step-by-step explanation:
The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width.
Answers
Answer:
106 meters
Step-by-step explanation:
50x2=100 100+6=106
Answer: 22
Step-by-step explanation:
50=2x+6
Add negative 6 to both sides (50+ -6) and (6+-6)
Then divide both sides by 2 (2x/2) and (44/2)
That is how you properly solve this 2 step equation
ANSWER THIS FOR 11 POINTS, what are the slope and y intercept of the function?
Answers
Answer:
y intercept=4 and the slop is 1/3
Step-by-step explanation:
The y intercept is the point where the line intersects the y axis. As we can see the line is intecepting the y axis at point 0,4 or just 4. To find the slope from that point you need to go y places up or down and x places left or right-additionally the point has to be on that line. For example from point 0,4 which is our y-intercept if we go up 1 and over 3 to the right from that point then we get another point that's on the line.
-kinda hard to explain but hope this helps
Represent the following expressions as a power of the number a (a≠0):
a
(a∧−1·a∧−2)∧−1
Answers
Answer:
a^3
Step-by-step explanation:
PLEASE HELP I WILL MARK
Answers
Answer:
2. 5
3. 2 dollars a peice
that is all i know sorry
Step-by-step explanation:
hope it heps you
Answer(s):
5 miles per hour
2 dollars per battery
6 pages in a minute
10 miles per gallon
2 inches per hour
Step-by-step explanation:
30/6=5
24/12=2
40/8=6
60/6=10
16/8=2
1
What is 12_
4
7
_
8
Answers
Answer:
12 is a Even Whole number..?
Dived 41.04 by 1.6.
Answers
Answer:
25.65
Step-by-step explanation:
Answer: 25.65
No explanation lol
Select the correct answer.
Which equation represents the vertical line passing through (7,-3)?
A.
x = -3
B.
y = -3
C.
x = 7
D.
y = 7
Answers
Answer:
C. [tex]x=7[/tex]
Step-by-step explanation:
So we know that a vertical line is represented by [tex]x=[/tex] so we can already rule out two of the options. We also know that since the line runs vertically, all points will start with the same [tex]x[/tex] coordinate. This means that the correct answer is [tex]x=7[/tex]
Answer:
the answer is c x=7
Step-by-step explanation:
What is 80% as a fraction in reduced form?
Answers
Answer:
45
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
Solve for b: 3ab = -7
Answers
Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.
Hope this helps!!
What is the length of segment LI?
3.9
2.7
3.6
4.2
Answers
Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
Answers
Answer:
n>12
Step-by-step explanation
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
Write an equivalent expressions for (8a2 -15a + 9) - (6a2 - 9a - 20).
Answers
Answer:
2a2 - 6a + 29
Step-by-step explanation:
what is x and y equal to if x divided by y = 6
Answers
Answer:
x=12 a and y=2
Step-by-step explanation:
Is 4 x 103 or 2 x 108 larger in value?
Answers
Answer:
4 x 103 is larger and value
Step-by-step explanation:
4 x 103 = 412
2 x 108 = 216
Could someone help me to understand this please? It would mean a lot
Answers
Answer:
A: AD
B: 25x15=375
Step-by-step explanation:
A: AD is parallel because the lines are the same.
B: AB = 25mm
BC = 15mm
25x15 = 375mm
The image below is for reference to Question B.
Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.
B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
C. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.
D. Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.
Answers
Answer:
B
Step-by-step explanation:
because since they say elevator 1 is +18 and elevator 2 is -20 and they didnt state anything else so it would be B.
Answer:
B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.
Explanation:
"+" represents positive numbers, and "-" represents negative numbers.
Can somebody helpp ??
Answers
The robinson family went on a hike while camping. if they increased their elevation by 200 ft every 5 minutes, at what rate are they climbing? HELPPPPP
Answers
Answer:
40ft per minute
Step-by-step explanation:
Just simply divide 5 into 200
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
352, 345, 338, ...
Find the 37th term.
Answers
Answer:
09
Step-by-step explanation:
help me find the answer to this please. 8745/53 as an quotient
Answers
Answer:
165
Step-by-step explanation:
8745/53=165
(1 + 3x)º (x – 13) °
Answers
Answer:
3x^2-38x-13
Step-by-step explanation: