Answers
Given :
In triangle AOR and triangle KTE :
Segment AO = Segment KT Segment OR = Segment TE ∠AOR = ∠KTESince two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.
Related Questions
rewrite the following equation in slope-intercept form
y-6=-9(x-5)
Answers
Answer:
y=-9x+51
Step-by-step explanation:
-9x+45=y-6
add 6 to both sides to get
-9x +51=y
Solve for X
2x - 8 = 30
Answers
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answers
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
answer, show work, due today
Answers
Answer:
60%
Step-by-step explanation:
13.5/22.5
how do i solve this? pls help
Answers
Answer:
6.11753349 × [tex]10^1^6[/tex]
Step-by-step explanation:
Raise 17 to the power of 12 .
f(x) = 105 ⋅ 582622237229761
Multiply 105 by 582622237229761 .
f ( x ) = 61175334909124905
Move the decimal so there is one non-zero digit to the left of the decimal point
6.11753349 × [tex]10^1^6[/tex]
Hope this helps :)
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.
Answers
Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]
= [tex]\frac{3700-3200}{140-120}[/tex]
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answers
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
Select all the expressions that are greater than 1
1/10 ÷ 3
2 2/3 ÷ 1 2/3
5/7 ÷ 1/2
12 ÷ 1/2
2/7 ÷ 3/7
Answers
2/ 2/3 divided by 1 2/3= 1 3/5, yes
5/7 divided by 1/2= 1 3/7, yes
12 divided by 1/2= 24, yes
2/7 divided by 3/7= 2/3, no
The value of 2^3 + 3^3 = .
Answers
Answer: (2^3) + 3^3
2^3 + 3^3
35
Step-by-step explanation:
you most likely just have to add 8 and 27 together im guessing
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
Answers
Answer:
I don't know how I can help you but I found this from another person. Hope this helps!
Answer:
The answer is b
Step-by-step explanation:
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
Use ΔDEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Answers
write 3 x 7 x 7 x 7 x 7 as a index notation
Answers
Answer:
3 x 7 x 7 x 7 x 7
= 3 x [tex]7^{4}[/tex]
what is the volume and surface area?
Answers
Answer:
I think its 10 mi
Step-by-step explanation:
Please let me know if I'm wrong!
If a number is multiplied by 7, the result is the same as when 25 is added
to twice the number. Find the number.
Answers
Answer:
Step-by-step explanation:
"a number is multiplied by 7" can be represented by 7x
"25 is added to twice the number" can be represented by 2x+25
7x = 2x+25
5x = 25
x = 5
The number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number is x:
From the problem, we can model a linear equation in one variable.
7x = 2x + 25
5x = 25
x = 5
Thus, the number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answers
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
An article reported that a survey of clothing worn by pedestrians killed at night in traffic accidents revealed that about 80 percent of the victims were wearing dark-colored clothing and 20 percent were wearing light-colored clothing. The conclusion drawn in the article was that it is safer to wear light-colored clothing at night.
(a) Is this conclusion justified? Explain.
(b) If your answer to part (a) is no, what other information would be needed before a final conclusion could be drawn?
Answers
Answer:
Explained below.
Step-by-step explanation:
A) We are not given a population percentage of people who wear dark or light clothes. For example, the number of people wearing dark cloths were maybe 700 and only 100 were killed.
So using the percentage of those killed to draw a conclusion is not a true representation of the reality. Thus, it is not justified to conclude that it is safer to wear light-colored clothing at night.
B) The additional information needed will be the population percentage of all pedestrians both those killed and those not killed who wore light-colored and dark colored clothing at night.
The sum of a numbers is 40. Their difference is 14. What are the 2 numbers?
Answers
Answer:
13 and 27
Step-by-step explanation:
27-13=14
13+27=40
There are 8,427 trees in the
state park. The governor is
planning to plant 3 times as
many trees over the next few
years. How many trees will
there be when she is done?
200 W
€
Answers
Answer:
35
Step-by-step explanation:
Hope this helps
==========================================================
Explanation:
There are currently 8,427 trees. Triple this value to get 3*8427 = 25,281
Add this result onto the previous number of trees to get 25,281+8,427 = 33,708
-----------
An alternative approach:
if we started off with x number of trees, and then added on three times as much, then we add on 3x more trees. This gets us x+3x = 4x trees total.
In this case, x = 8427, so that leads to 4*x = 4*8427 = 33,708
A jumping spider hunts for its
food. When it gets close to its
prey, it jumps into the air and
pounces on it.
A jumping spider can jump
40 times its body length. One
jumping spider is 2 centimeters
long. How far can it jump?
Answers
1 The number of guests, g, coming for dinner is not 8
2 the distance of the race d is at least 6 miles
what is the inequality for each of the solutions
Answers
Answer:
1. g < 8
2. d ≤ 6
How many days are in 10 years?
Answers
Answer:
3650
Step-by-step explanation:
HELP PLZZZZ !!!
An international company has 26,500 employees in one country. If this represents 31.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answers
Answer
Step-by-step explanation:
What is the ratio in simplest form between the length of a side in MARDT and the length of its corresponding side in JPLSF?
A. 3/4
B. 4/3
C. 3/2
D. 2/1
Answers
Answer:
b i think
Step-by-step explanation:
The ratio of the corresponding sides of MARDT and JPLSF is A. 3/4.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
By observing the given figures MARDT is similar to JPLSF.
So, the ratio of their corresponding sides must also be equal.
Given, Length of MA is 4 and the length of JP is 3.
Therefore, The ratio of sides MARDT and JPLSF is 3/4.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ2
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Answers
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answers
Answer:
get them googel
Step-by-step explanation:
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
Answers
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answers
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
TO Learn more about Rhombus visit:
https://brainly.com/question/2456096
#SPJ2
Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
24 cm
18 cm
Answers
Step-by-step explanation:
2(22/7)12²+2(22/7)(12)(18)
=2021.9
Find the LCM Of 12x^5 y^4z,15x^7z^3 and,21yz^9
Answers
Answer:
420x^7 y^4 z^9
Step-by-step explanation:
I put spaces between some so that you know that no exponent has a variable as its power and it is 1 whole polynomial.
Please Mark Me Brainliest
g(x) = -2x + 1
Find g(-7).
Answers
Answer:
g(-7) = -2(-7) + 1 = 15
Step-by-step explanation: