The figure below shows line t, which intersects segment AB:
Segment AB is intersected by line t. Point C is on line t.
In the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. Write a paragraph to prove that point C is equidistant from points A and B. (10 points)
Answers
Answer:
Step-by-step explanation:
Given:
Line 't' is a perpendicular bisector of AB.
AD ≅ BD
∠4 ≅ ∠6
To prove:
AC = BC
Construction done:
Completed triangle ABC by joining AC and BC.
Since, AD ≅ BD [Given]
∠4 ≅ ∠6 [Given]
∠ADC ≅ ∠BDC [Supplementary angles of ∠4 and ∠6]
CD ≅ CD [Reflexive property]
ΔACD ≅ ΔBCD [SAS property of congruence]
AC ≅ BC [CPCTC]
Related Questions
1)The price of a pair of boot was reduced from $80 to $60. By what percentage
was the price of the boots reduced?
2)Lisa and her date spent $87.70. They want to leave a 20% tip what amount would be reasonable for the tip
Answers
Answer:
1) 25%
2) $17.54
Step-by-step explanation:
1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.
20/80 = 0.25
0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)
2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)
To find 20% of $87.70, multiply 0.20 by 87.70.
87.70 x 0.20 = 17.54
A swimming pool is 8 meters long. 6 meters wide, and 2 meters deep. The water-resistant paint needed for the pool costs $6 per square meter. How much will it cost to paint? How much paint do you need to paint the pool?
Answers
Answer:
$16
Step-by-step explanation:
To find the surface area, we need to do length × width × height.
8 × 6 × 2 = surface area of pool.
96 square meters = surface area of pool.
96/6 = cost of paint
$16 = cost of paint
Express in simplest radical form.
V40
Answers
Answer:
[tex]\huge\boxed{2 \sqrt{10}}[/tex]
Step-by-step explanation:
When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40.
Out of these, we need to look for one that we can find the square root of.
We know that the square root of 4 is 2.
Therefore, we can make [tex]\sqrt{40}[/tex] into [tex]\sqrt{4 \cdot 10}[/tex].
The square root of 4 is 2. Therefore, we can put that outside the radical.
[tex]2 \sqrt{10}[/tex].
Hope this helped!
The electric car completed the 14 -mile race in 11.961 seconds. What was the electric car’s average speed during the race, to the nearest mile per hour?
Answers
Answer:
Not sure if you meant 14 or 1/4
14 - 4213.69 miles per hour
1/4 - 75.2445 miles per hour
Step-by-step explanation:
Convert to min then to hours. Then D/T
Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?
A. ΔDEF ≅ ΔSUR
B. ΔDEF ≅ ΔSRU
C. ΔDEF ≅ ΔRSU
D. ΔDEF ≅ ΔRUS
Answers
9514 1404 393
Answer:
B. ΔDEF ≅ ΔSRU
Step-by-step explanation:
Reflection changes corresponding vertices from CCW order to CW order. Vertex D gets reflected to (-6, 4), then translated to (-3, 0). After this transformation, its image is vertex S. The vertices in CW order from S are SRU. Hence, ΔDEF ≅ ΔSRU, matching choice B.
if i walk 2 block in 15 minutes what will my speed be?
Answers
Answer:
Your answer would be 6mph.
Step-by-step explanation:
Calculate your running or walking speed, distance, or time with Verywell's ... You may also need to know your pace when registering for an event or race such as a ... A pace may not be a round number of minutes, in which case you will need to ... Running 6 miles in 1 hour: 6 / 1 = 6 miles per hour (mph);
(Got it from google)
Answer:
That means you walked 1 block in 7.5 minutes
Step-by-step explanation:
Divide 15/2 and that gives 7.5.
We can not find the speed unless if we are given the distance of the blocks but we can find the unit rate....
HURRY PLEASE I DONT WANT TO FAIL
Answers
Answer:
2 is A. no solution
3 is C. 6
Step-by-step explanation:
Calculate the new perimeter using a scale factor of 1/4
I will give brainliest if right!
Answers
Answer:
22.5
Step-by-step explanation:
can someone help me asap
Answers
Answer:
the top one would be my best he is because it has the two sybles in the problem they gave you
please show your work for the question belowe
Answers
Answer:
Step-by-step explanation:
1. covert the displacement to meter.
1 in = 0.0254 m
so 60 in ×0.0254 m /1 in =1.524 m
2.calculate the initial and final velocity
Vi= 0
Vf=(1.524-0)/3= 0.508[m/s]
3.find the acceleration
a= (0.508-0)/3=
[tex]0.169m \div {s }^{2} [/tex]
If a sample proportion is 0.75, which range of possible values best describes
an estimate for the population parameter?
Answers
Answer: (0.7, 0.8)
:P
The range of possible values best describes an estimate for the population parameter is (0.6, 0.9) option (B) is correct.
What are population and sample?It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
The question is incomplete.
The complete question is:
If a sample proportion is 0.75, which range of possible values best describes an estimate for the population parameter?
(0.6, 0.89)(0.6, 0.9)(0.7, 0.79)(0.75, 0.8)We have:
If a sample proportion is 0.75.
From the first option:
(0.6, 0.89)
= (0.6+0.89)/2
= 0.745
From the second option:
(0.6, 0.9)
= (0.6+0.9)/2
= 0.75
From the third option:
(0.7, 0.79)
= (0.7+0.79)/2
= 0.745
From the fourth option:
(0.75, 0.8)
= (0.75+0.8)/2
= 0.775
Sample proportion = 0.75 and the range of possible values best describes an estimate for the population parameter is (0.6, 0.9).
Thus, the range of possible values best describes an estimate for the population parameter is (0.6, 0.9) option (B) is correct.
Learn more about the population and sample here:
brainly.com/question/9295991
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Answer please ASAP!!!!!!
Answers
====================================================
Work Shown:
r = 3 is the radius of the circular base
h = 12 is the height of the cylinder
pi = 3.14 approximately
SA = surface area of the cylinder
SA = 2pi*r^2 + 2pi*r*h
SA = 2*3.14*3^2 + 2*3.14*3*12
SA = 282.6
Which aspects of a four-hour shopping trip can be expected to vary inversely? A) the total distance walked and the number of steps taken B) the total number of stores visited and the average time spent in each store C) the total amount spent on shirts and the average cost per shirt D) the time it takes to walk from one store to another and the distance between the two stores E) the average wait time to make a purchase and the number of cashiers working in a store F) the number of customers paying by cash and the total number of customers SELECT ALL THAT APPLY
Answers
Answer:
The correct option is;
E) The average wait time to make payment and the number of cashiers working in a store
Step-by-step explanation:
An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;
y ∝ 1/x
Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.
Answer:
B.) The total number of stores visited and the average time spent in each store
E.) The average wait time to make a purchase and the number of cashiers working in a store
Step-by-step explanation:
It is correct I just took the test :)
Solve the system of linear equations by substitution.
4x−2y=14
y=0.5x−1
Answers
4x - 1x +2 = 14
3x + 2 = 14
X= 4
Plug that into second equation to get y
Select the table that represents a linear function. (Graph them if necessary.) O A. A. X 012 3 124 8 B. X 0 1 2 3 y 01 03 O C. (x 0 1 2 3 y 431 2 D. | 0 x 1 2 3 y 5 10 15 20
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
The x-values are evenly-spaced, so any linear function table will have constant differences between the y-values. Here are the y-differences for the different options:
A 1, 2, 4
B 1, -1, 3
C -1, -2, 1
D 5, 5, 5 . . . . this represents a linear function
Shauna needs to buy 4 new tires and get an oil change for her car. An oil change costs $47.00 and each tire costs the same amount. If she spent a total of $335.00, how much did each tire cost?
Answers
Answer:
$72
Step-by-step explanation:
Let t = Tires
Let O = Oil change
Given the following data;
Oil change, O = $47
Translating the word problem into an algebraic equation, we have;
4t + O = $335
Rearranging the equation, we have;
[tex] 4t = 335 - O[/tex]
Substituting the value of O;
[tex] 4t = 335 - 47[/tex]
[tex] 4t = 288[/tex]
[tex] t = \frac {288}{4}[/tex]
t = 72
Therefore, the cost of each tire is $72.
AB and BC are two equal chords of a circle of length 2√5 cm each. If radius of the circle is 5 cm, find the length (in cm) of the chord AC.
Answers
Answer:
10
Step-by-step explanation:
radius is half and ab and bc = ac then 5+5=10
Fractions order from least to greatest
Which is the right answer? Pls help ill give brainliest!!
Answers
Answer:
2/5, 4/7, 5/2
Step-by-step explanation:
5/2=2.5 2/5=.40 4/7= .59 that's aproximately for 4/7
5% of 20= ? i really need help with this, someone help.
Answers
Answer:
1
Step-by-step explanation:
Use the clues given.
We know that 5% is equal to 5/100 or .05. Using one of those numbers, we can find what the answer is.
Multiply by 20.
In this case, I will be using .05, just because it is the easiest. So, if we multiply .05 by 20, we will get 1.
Hope this helped,
Philip
Brainliest is always appreciated! <3
Someone please answer this I’m confused
Answers
The correlation coefficient for blood pressure and amount of vegetables eaten in a group of people is −0.7. Analyze the following statement:
High blood pressure is caused by not eating vegetables.
Is this a reasonable conclusion?
Answers
Answer:
Yes, that is a reasonable conclusion
Step-by-step explanation:
Answer:
This is not a reasonable conclusion.
Step-by-step explanation:
Even though there is a strong negative correlation, not eating vegetables doesn't necessarily cause high blood pressure.
Good luck, hope this helps you out! (◕‿◕✿)
which is the solution to the inequality -12x+4x^2+9<0
Answers
Answer:
Step-by-step explanation:
5678
What is the y-intercept of the function?
Select one:
(.25, 0)
(-2,0)
O (1,0)
(0, - 1)
Answers
Answer:
D
Step-by-step explanation:
none of the others make sense my guy
Answer:
the y-intercept is (0,-1)
Step-by-step explanation:
the y-intercept is the point in which the line passes through the y axis
At a state park, elevations are posted along the trails. A hiker notices that from the beginning of one trail to the end of that trail is -120 feet, the elevation changes
. If the elevation at the end is -225 feet, what is the elevation at the beginning?
a. 105 feet
b. 345 feet
c. -105 feet
d. -345 feet
Answers
Answer: Option A
Step-by-step explanation:
Given:
beginning of one trail to the end of that trail is -120 feetelevation at the end is -225 feet,We have to:
Subtract -225 by -120, and we get 105.
Consider w = 2(cos(210°) + isin(210°)) and z = 2(cos(330°) + isin(330°)). What is w- z expressed in rectangular
form?
2i
-2i
-2 3+ 0i
-2 /3-2i
Answers
Answer:
C
Step-by-step explanation:
right on edge
The value of the expression w - z for the given complex number will be -2√3 + 0i thus option (C) will be correct.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
A complex number is the sum of a real number and an imaginary number.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
As per the given complex numbers,
w = 2(cos(210°) + isin(210°))
w = 2(-√3/2 + i(-1/2)]
w = -√3 - i
z = 2[cos(330°) + isin(330°)]
z = 2[√3/2 + i(-1/2)
z = √3 - i
Now, w - z will be as,
w - z = (-√3 - i) - (√3 - i)
w - z = -√3 - √3 - i + i
w - z = -2√3 + 0 i
Hence "The value of the expression w - z for the given complex number will be -2√3 + 0i".
To learn more about complex numbers,
brainly.com/question/10251853
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Question in picture solve
Answers
Answer:
all real numbers greater than two
Answer:
All real numbers greater than 4
Step-by-step explanation:
The function starts at (1,4) and range is the y-values so it starts at 4 and goes up. So 4+ is the range or all numbers greater than 4.
I NEED HELP ASAP!!!!!! 20 POINTS. Jake and Finn both worked hard over the summer. Together they earned a total of $400. Finn earned $25 more than Jake. (a) Write a system of equations for the situation. Use J for the amount Jake earned and F for the amount Finn earned. (b) Graph the equations in the system. (c) Use your graph to estimate how much each person earned. How much did each person earn? Complete Sentences.
Answers
Answer:
225 for finn jake gets 175
Step-by-step explanation:
400 divided by 2 = 200+25 witch gives Finn 225 dollars.
J=175 f=225
Answer:
F = 212.5
J = 187.5
Step-by-step explanation:
My way is weird but i divided each side by 2 and subtracted 25 from jake and added 25 to finn. Then distributed 25 for each.
ex: 175 + 12.5 = 187.5.
225 - 12.5 = 212.5.
Add them both and you get 400.
weird
The United Air Force has 19 women for every 81 men enlisted. If a squadron has 250 members, approximately how many men are men?
Answers
Answer:
Approximately the number of men is 203 and number of women is 47.
Step-by-step explanation:
It is given that the United States Air Force has 19 women for every 81 men enlisted.
It means the ratio between men and women is 81:19.
Sum of ratio is
Therefore for each 100 people, there are 81 men and 19 women.
Total number of peoples is 250.
In 250 members the number of men is
The numbers of persons cannot be a fraction values or a decimal value, therefore the number of men is 203.
In 250 members the number of women is
Therefore approximately the number of men is 203 and number of women is 47.
does water have a taste
Answers
Answer:
nope
Step-by-step explanation:
Water is tasteless and odorless
Answer:
Water in fact does have a taste
Step-by-step explanation:
Water may not be a tasteless liquid, say scientists who have found that our tongue is able to detect a unique taste of water using its sour-sensing cells
lol
Type 800 words in 12 minutes. How many words per 1 minute?
Answers
Answer:
800/12 = 66.6 words per minute
