Tell whether you can reach each type of conclusion below using coordinate
methods. Give a reason for each answer.
6. AB = CD
9. AB bisects CD.
12. LA is a right angle.
15. Quadrilateral ABCD is a rhombus.
8. ABL CD
11. LA LB
14. AABC is isosceles.
16. AB and CD bisect each other.
7. AB || CD
10. AB bisects LCAD.
13. AB + BC = AC
Answers
The answer to all of them is yes.
6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)
7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL
8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)
9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)
10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)
12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)
13) The lengths of AB and AC combined equal the length of AC using the distance formula.
14) Two sides of triangle ABC have equal length using the distance formula.
15) All four sides of ABCD have the same length using the distance formula.
16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.
Related Questions
Six less than the quotient of two and W
Answers
Six less than the quotient of two and a number "W"
Let's take this step-by-step. First, change the written-out numbers to numerals:
6 less than the quotient of 2 and a number "W"
Next, combine the smallest part. In this case, it would be:
the quotient of 2 and a number "W"
Here, you are finding the quotient of a specific part: 2 and W. When we have specific sections like this in math, we put parentheses around them, like this:
6 less than the quotient of (2 and a number "W")
Now we need to remember what a "quotient" is. This means that there is division between the two numbers mentioned - in this case, 2 and the number W. But which is being divided into which? The number 2 comes first, so we think of 2 as being the first number used. Therefore, we are looking at:
6 less than (2 divided by W)
Division problems are exactly the same as fractions. For example, 3 divided by 1 is the same as 3 ÷ 1, which is also the same as 3/1 (which equals 3). In our case, 2 divided by W is the same as 2/W (your teacher might want this written as 2 ÷ W, but they mean the same thing). Now, we can write the equation as:
6 less than (2/W)
Which can also be written as:
6 less than 2 ÷ W
To finish this up, let's take a step back for a moment Imagine you have 10 jelly beans, and you eat 7 of them. You now have 7 less than 10, or 3 jelly beans. This can also be written as 10-7 = 3.
In our example, we have 6 less than (2/W). If we use the jelly bean equation we found as a starting point, we can change the 7 to 6 and the 10 to (2/W). Then, we get this:
(2/W) - 6
Which can also be written as:
2 ÷ W - 6
And that's your answer! Both of those mean the same thing so they're both correct. Your teacher might prefer you write it one way or the other, though. If this is the case, make sure to choose the solution that best fits your teacher's request.
helpp quick can't get correct
Answers
Answer:
A=7 B=9 C=4
Step-by-step explanation:
[tex]a\frac{b}{c} =\sqrt[c]{a^b}[/tex]
I need help with things ill give u points
Answers
Answer:
012
Step-by-step explanation:
please mark brainliest if correct
What is the solution of log2x + 6^8 = 3?
Group of answer choices
x = −2
x = 2
x = −3
x = 3
Answers
The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
[tex]log_{2x + 6}8=3\\\\applying\ the\ logarithm\ rule:\\\\(2x+6)^3=8\\\\8x^3+72x^2+216+208=0\\\\x=-2[/tex]
The value of x in the equation [tex]log_{2x + 6}8=3[/tex] gives that x = -2.
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Help please. Math and giving 30 points.
Answers
The simplified form of the given expression is -18. The correct option is the third option- -18
Simplifying an expressionFrom the question, we are to simplify
|3-10| - (12 ÷ 4 + 2)²
Simplifying
|3-10| - (12 ÷ 4 + 2)²
|-7| - (3 + 2)²
7 - (5)²
7 - 25
= -18
Hence, the simplified form of the given expression is -18. The correct option is the third option- -18
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Lizette wanted to see if it would be possible to use a little less materials in a tea infuser but still not be required to be at full capacity. Her rectangular pyramidal tea infuser would be 7 cm high, 3 cm long and 1.5 cm wide. The tea infuser from the example, was the same except 7.9 cm high and was filled to 80% capacity.
Would these dimensions work, if so to what percent would Lizette's infusers have to be filled to use the same amount of tea?
Answers
The percentage that the infuser will have to be filled to use the same amount of tea will be 90.23%.
How to calculate the percentage?The infuser for Lizeete is 7 cm high, 3 cm long and 1.5 cm wide. The volume will be:
= 7 × 3 × 1.5
= 31.5cm³
The tea infuser from the example, was the same except 7.9 cm high. Therefore, the volume will be:
= 7.9 × 3 × 1.5
= 35.5
Since it was filed to 80%, this will be:
= 80% × 35.5
= 31.5cm³
Therefore, the dimensions will work and the percentage to use the same amount of tea will be:
= 28.44/31.5 × 100
= 90.23%
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In a 3-digit number, the middle digit is 3 times the last digit and 4 more than the first digit. All the digits are odd and can only be used once. What is the 1st number?
Answers
Answer:
5
Step-by-step explanation:
This is quite some trial and error question.
Based on the question, the numbers we can use are 1,3,5,7 and 9.
We will start with the middle digit first.
Since the question has stated it is 3 times the last digit, the number has to be in multiples of 3.
So we are left with: 3 and 9.
Then, the question also states the middle digit is 4 more than the first digit. See, its a digit, so the value cannot be less than 1 (odd numbers only and no negative values), so if we subtract 4 to the middle digit to find the first, it should still be a Positive Single numerical value.
3 - 4 = -1
9 - 4 = 5
Therefore, this middle digit is = 9.
Since we know the middle digit = 9
The first digit will be 9 - 4 = 5
The whole value is now 593.
answer this question i need help!! i’ll give brainly
Answers
Answer:
A. The color of fire when different metals are burned.
Explanation:
Qualitative data is data that relates to a quality or characteristic of an object, and does not include any numbers.
example: colour, taste, survey answers
Quantitative data, on the other hand, relates to measurements and counting of variables, and uses numbers to convey value.
example: height of a person, number of coins
Find x.
02
3√2
04√3
02√3
Answers
Answer:
x
Step-by-step explanation:
2^3
1. A random sample of 2,000 households are selected for telephone interviews with the following results: 432 Completed interviews 586 Refusals by the respondent 902 No answer/not at home 80 Non-working numbers What is the response rate
Answers
The response rate is 52.021%.
Given a random sample of 2,000 households are selected for telephone interviews in which 432 interviews are completed, 586 are refused by the respondent, 902 do not answer or are not at home and 80 are non-working numbers.
Total Number of sample, S =2000
Completed interview, C = 432
Refusal by the Respondent, R = 586
No answer/ not at home , N = 902.
Non - working Numbers, NW = 80.
From the above data, we got responses from completed interviews and refusals by respondents.
so responded number (RN) is
RN=C+R
RN= 432+ 586
RN= 1018.
The actual number of samples =Total samples - non-working samples Actual number of samples=2000-80
The actual number of samples=1920
And the response rate (RR) is
RR=1018÷1920
RR=0.52021
Hence, the response rate from 2000 households which are selected for telephone interviews is 0.52021.
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help me please!!!
The hypotenuse of a right angled triangle is 15. One of the other sides is 12cm, what
is the length of the other side?
5.2 cm
369 cm
27 cm
9 cm
19.2 cm
Answers
Answer:
9 cm
Step-by-step explanation:
The hypotenuse is the major side of the right triangle, if you look at the options only two of them are smaller than the hypotenuse, the rest cannot be the answer.
Hypotenuse (c) = 15 cm
Cathetus (a) = 12 cm
Cathetus (b) = ?
Equation: [tex]c^{2}=a^{2} +b^{2}[/tex]
Solution: [tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =(15)^{2} -(12)^{2}[/tex]
[tex]b^{2} =225-144[/tex]
[tex]b^{2}=81[/tex]
[tex]b=\sqrt{81}[/tex]
[tex]b=9[/tex]
Hope this helps
Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour
Answers
Answer:
[tex]\huge\boxed{\sf 60 \ miles}[/tex]
Step-by-step explanation:
Given that,
3 hours = 180 miles
Divide 3 to both sides
3/3 hour = 180/3 miles
1 hour = 60 miles
So, Mom drove 60 miles in one hour.
[tex]\rule[225]{225}{2}[/tex]
Solve the following using distributive property:
9(x+3)=4x-3
Answers
Answer:
x = -6
Explanation:
⇒ 9(x + 3) = 4x - 3
apply distributive method: a(b + c) = ab + ac
⇒ 9(x) + 9(3) = 4x - 3
multiply variables
⇒ 9x + 27 = 4x - 3
collect like terms
⇒ 9x - 4x = -3 - 27
subtract like terms
⇒ 5x = -30
divide both sides by 5
⇒ x = -6
Answer:
x = -6
Step-by-step explanation:
distribute 9(x+3) = 9x+27
9x+27 = 4x-3 subtract -27 and -4x on each side
9x-4x = -3-27 combine like terms
5x = -30 divide by 5
x = -6
Use the given graph to determine the limit, if it exists. (4 points)
A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.
Find limit as x approaches three from the right of f of x.
Answers
The limit as x approaches three from the right of f(x) is 3
What is the Limit of a function ?The value a function approaches when the variable approaches its limit.
A graph is given which shows a piece wise function ,
As when the limit approaches from the right the function can be seen approaching 3 , it is not 3 at 3 but approaching to 3
The right hand lim x--> 3 f(x) approaches 3 .
Therefore , limit as x approaches three from the right of f(x) is 3
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2 quick algebra 1 questions for 50 points!
Only answer if you know the answer, Tysm!
Answers
Answer:
QUESTION 1: (-3,0), (1,1), (5, 2), (9,3)
QUESTION 2: Draw a mapping diagram (see question 3)
QUESTION 3: Yes, the image below is a function.
Step-by-step explanation:
For question 1, you can pair the domains (x-values) with any y-value. The y-values can repeat.
For question 3b, you must understand that domains cannot repeat, but ranges (y-values can). In 3b, every x-value has a unique y-value which means that it is a function. You can also determine is something is a function by seeing if its graph passes the vertical line test.
Yes
As per definition
Every domain of the function has an unique range
f(x)=yHere
f(-8)=1f(-2)=6f(0)=4f(7)=5Hence it's a function
Let's say you rolled a dice twice, and you got at least a 6. What is the probability that the sum of both rolls is at least 9
Answers
The probability that the sum of both rolls is at least 9 is 2/36.
Probability is the chance that a given event will occur. the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Given:
Total sample spaces: 36.
Number on one dice: 6
For sum of both rolls to be 9 , the only possible way is (6,3)(3,6)
Using probability formula,
Thus The probability that the sum of both rolls is at least 9 is 2/36.
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What is the whole number consisting of x in the hundreds place, y in the
tens place, and 2 in the ones place?
Answers
The whole number consisting of x in the hundreds place, y in the tens place, and 2 in the ones place is; xy2.
What is the whole number described in the task content?It follows from the task content that the whole number described has x in the hundreds place, y in the tens place, and 2 in the ones place.
The whole number in discuss can be broken down simply as: (x×100) + (y×10) +(2×1).
Hence, the whole number is; xy2.
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What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean
Answers
The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372
Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.
We need to compute P(16.5<= X <= 18.5).
The corresponding z-value is calculated using Central Limit Theorem.
z = (x - μ)/σ
z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12
z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12
Therefore, we get
P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)
⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)
⇒ 0.8686 - 0.1314 = 0.7372
The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.
The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.
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The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this racket can get the version they want from current stock
Answers
The probability that all of the next ten customers who want this racket can get the version they want from current stock is 0.821
How to solve?Given: currently has seven rackets of each version.
Then the probability that the next ten customers get the racket they want is P(3≤X≤7)
Why P(3≤X≤7)?Note that If less than 3 customers want the oversize, then more than 7 want the midsize and someone's going to miss out.
X ~ Binomial (n = 10, p = 0.6)
P(3≤X≤7) = P(X≤7) - P(X≤2)
From Binomial Table:
= 0.8333 - 0.012
= 0.821
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a number is chosen ar random from 1 to 25. find the probaility of selecting an even number or multiple of 3
Answers
Answer:
16/25 or 64%
Step-by-step explanation:
There are 12 even numbers between 1 and 25: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24
There are 8 multiples of 3 between 1 and 25: 3, 6, 9, 12, 15, 18, 21, and 24
That makes your odds 20/25. But, you can't count numbers twice! So eliminate the repeats and you get:
2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, and 24
which is 16/25 numbers that satisfy being an even number, a multiple of 3, or both
hope this helped :)
In spherical geometry, lines are called
OA. line segments
OB. radii
O c. diameters
O D. great circles
Answers
Answer:
Diameters
Step-by-step explanation:
In spherical geometry, lines are called diameters.
Answer:
Diameter
Step-by-step explanation:
In spherical geometry, lines are called diameter .
Also this makes sense the most .
Volume=
Help me please, thanks
Answers
Answer: [tex]144\pi[/tex]
Step-by-step explanation:
The area of the base is [tex]36\pi[/tex].
If we consider the right triangle, by the Pythagorean theorem, the unknown leg, which has a length of 4, is the height.
So, the volume is [tex]144\pi[/tex].
An equilateral triangle has a perimeter of 15x3 33x5 feet. what is the length of each side? x3 feet 5 11x2 feet 5x2 11 feet 5x3 11x5 feet
Answers
The length of each side of the equilateral triangle is 5x³ + 11x⁵
Calculating PerimeterFrom the question, we are to determine the length of each side of the equilateral triangle.
An equilateral triangle has its sides equal to each other.
If the length of a side of an equilateral triangle is c,
Then, the perimeter, P, of the triangle is
P = 3c
From the given information,
P = 15x³ + 33x⁵
∴ 3c = 15x³ + 33x⁵
c = (15x³ + 33x⁵) / 3
c = 3(5x³ + 11x⁵) / 3
c = 5x³ + 11x⁵
Hence, the length of each side of the equilateral triangle is 5x³ + 11x⁵
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Answer: 5x^3 + 11x^5
Step-by-step explanation:
The length of a rectangle is a centimeters, and the width of this rectangle is b centimeters. Write an expression for the area of the rectangle. "a" and "b" are variables.
Answers
Answer:
Area = ab
Step-by-step explanation:
Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.
A = a×b
A = ab
1 2 3 4 5 6 7 8 9 10 The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid?
Answers
Using it's concept, the expression that can be used to find the probability that a randomly selected point is in the white area of the grid is:
[tex]\frac{7}{16}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, 7 out of 16 squares are in the white area, hence the probability is given by:
[tex]p = \frac{7}{16}[/tex].
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Which steps would be used to solve the equation? Check all that apply. 2 and two-thirds + r = 8
Answers
The correct steps are given below:-
a) Subtract 2 and two-thirds from both sides of the equation
b) 8 minus 2 and two-thirds = 5 and one-third
c) Substitute the value for r to check the solution.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved by using the following steps:-
[tex]2 \dfrac{2}{3}[/tex] + r = 8
Subtract [tex]2 \dfrac{2}{3}[/tex] from each side
[tex]2 \dfrac{2}{3}[/tex] + r - [tex]2 \dfrac{2}{3}[/tex] = 8 - [tex]2 \dfrac{2}{3}[/tex]
r = 5 1/3
Check the solution,
[tex]2 \dfrac{2}{3}[/tex] + [tex]5 \dfrac{1}{3}[/tex] =8
8 = 8
The complete question is given below:-
Which steps would be used to solve the equation? Check all that apply. 2 and two-thirds + r = 8 Subtract 2 and two-thirds from both sides of the equation. Add 2 and two-thirds to both sides of the equation. 8 minus 2 and two-thirds = 5 and one-third 8 + 2 and two-thirds = 10 and two-thirds Substitute the value for r to check the solution.
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Answer:
A,C,E >:3.
your welcome!
What is the decimal expansion of the following fraction? 1/10
Answers
Answer:
0.1
Step-by-step explanation:
break 1 into 10 parts, and take one part: hence 0.1
Answer:
0.1
Step-by-step explanation:
Mr brown shares with the class that 70 percent of the students got an a on the English quiz if Mr brown has 100 student what percent of the students did not get an a
Answers
HELP ASAP!!!
REASONS ONLY
Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus
(i put random reasons just to show all of them)
Answers
2) perpendicular lines form right angles
3) perpendicular lines form right angles
4) all right angles are congruent
5) reflexive property
6) ASA
7) CPCTC
8) ABCD is a rhombus because it is a parallelogram with a pair of consecutive congruent sides
The product of two rational numbers is 3/8. If one of the number is 2/5 , find the other number.
Answers
Answer:
if i subtract 3/8 with 2/5 i get 1/40
Step-by-step explanation:
i dont know if this is correct but it seems so
Step-by-step explanation:
—Let the unknown number is x, so we can write the equation like below.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex] \: [/tex]
—Find x.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex]x = \frac{3}{8} \div \frac{2}{5} [/tex]
[tex]x = \frac{3}{8} \times \frac{5}{2} [/tex]
[tex]x = \frac{15}{16} [/tex]
[tex] \: [/tex]
—Let's prove that it's true.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex] \frac{2}{5} \times \frac{15}{16} = \frac{3}{8} [/tex]
[tex] \frac{30}{80} = \frac{3}{8} [/tex]
[tex] \frac{30 \div 10}{80 \div 10} = \frac{3}{8} [/tex]
[tex] \frac{3}{8} = \frac{3}{8} \: \: \text{proved}[/tex]
[tex] \: [/tex]
So, the other number or the value of x is [tex]\frac{15}{16}[/tex]