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:
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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.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Could someone help me to understand this please? It would mean a lot
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Answer:
A: AD
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Step-by-step explanation:
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The image below is for reference to Question B.
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y = -x - 1
Step-by-step explanation:
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Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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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.
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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.
Work out the product of 2⅔ and 3¾
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Answer:
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Step-by-step explanation:
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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,
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Verification :
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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
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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D.
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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:
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Step-by-step explanation:
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?
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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:
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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
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7
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Answer:
12 is a Even Whole number..?
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Answer:
(0,-2)
Step-by-step explanation:
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Answers
Answer:
40ft per minute
Step-by-step explanation:
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Answers
Answer:
165
Step-by-step explanation:
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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
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PLEASE HELP I WILL MARK
Answers
Answer:
2. 5
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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
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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
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!!