There are three valid names for the given triangle AXT, TAX, and XTA.
A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same. In the case of a right triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides. Every triangle is bicentric and convex. The triangle's interior is the area of the plane it encloses; the outside is the rest of the plane. Triangle geometry, as the study of triangles is frequently referred to, is a rich field of geometry that is full of stunning outcomes and surprising connections. Let S stand for a side of a triangle and A for an angle. Then, let a group of Ss and As be concatenated so that adjacent letters stand for adjacent sides of a triangle and adjacent angles. According to the SSS theorem, a triangle can only exist if it has three sides, two angles, and a side, or two sides and an adjacent angle (SAS theorem). The three unknown quantities (there are a total of three sides and three angles) can be uniquely identified in each of these situations. Other side and angle combinations do not necessarily result in a triangle being formed: the AAA theorem states that three angles specify a triangle but only up to certain scale size and that one angle and two sides without it may describe one, two, or no triangles.
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write an equation for each line in slope intercept form
Answer:
(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly kcharacterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
Step-by-step explanation:(3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness (3,-5)(5,7) instrumentate in inclination countercheck form. correspondingly characterization forethoughtfulness
A zip-line at a water park runs from the top of a wall, down to the ground on the other side of a pool. The top of the zip cord is 45 ft above the ground and the zip-line is 500 ft long. What is the horizontal distance between the wall and the end of the zip-line? Round your answer to the nearest foot.
Answer:
498 ft
Step-by-step explanation:
The zip-line, wall and end of the zip-line to wall form a right-angled triangle.
Since the zip-line which is 500 ft long represents the hypotenuse side, the top of the zip cord to the ground represents one side of the triangle which is 45 ft long and the third side is represented by the horizontal distance between the wall and the zip-line.
By Pythagoras' theorem,
L² = h² + d² where L = length of zip-line = 500 ft, h = height of top of zip cord from ground = 45 ft and d = horizontal distance between the wall and the zip-line.
So, d² = L² - h²
d² = (500 ft)² - (45 ft)²
d² = 250,000 ft² - 2025 ft²
d² = 247,975 ft²
d = √247,975 ft²
d = 497.97 ft
d ≅ 498 ft
The horizontal distance between the wall and the end of the zip-line is:498 ft.
Horizontal distanceUsing Pythagoras theorem formula
d= √L² + h²
Let plug in the formula
d=√500 ft² - 45 ft²
d=√ 250,000 ft² - 2025 ft²
d = √247,975 ft²
d = 497.97 ft
d= 498 ft (Approximately)
Inconclusion the horizontal distance between the wall and the end of the zip-line is:498 ft.
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Solve: 10 < 12x + 41
Answer:
8
Step-by-step explanation:
What is the unit rate for 46$ for 5 toys
Answer:
The unit rate is $9.20 per toy
Step-by-step explanation:
Since the total of the toys is 46, you divide by 5, to see how much each toy is
What should you do during the editing stage of the writing process?
question Today, everything at Nike is on sale. The store offers a 25% discount.
The regular price of a pair of shoes is $125. What is the discount price?
Answer:
$93.75
Step-by-step explanation:
First step, we need to find 25% of 125, we can do this by multiplying .25 by 125. This leaves us with $31.25. Now, we subtract 31.25 from 125, this leaves us with $93.75. There is your answer. Another way to do this is to find 75% of 125 because 25+75 equals 100.
SOMEBODY PLS HELP ILL MARK U BRAINLIEST
Answer:
- 16x + 3y
Step-by-step explanation:
this can be done in two ways- vertical method or horizontal :
I did one:
( i hope this is right)
There were some people on a train.
18 people get off the train at the first stop and 21 people get on the train.
Now there are 65 people on the train.
How many people were on the train to begin with?
Answer:
62
Step-by-step explanation:
let there be X people in the beginning
so
X-18+21=65
X+3=65
X=65-3
X=62
i just wanted to make sure my answers are correct could someone tell me if they are or not correct or tell me which ones are wrong?
14. Is B
16. Is B
correct
What is the value of x
a 10
b -12
c -10
d-9
PLEASE HELP QUICK!!! WILL GIVE BRAINLIEST
In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third side, AB of ABC.
Answer:
Step-by-step explanation:
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
Please help as soon as possible! Thank you so much!!
Answer: Check bottom
Step-by-step explanation:
Since two sides are already equivalent, that's that. By the midpoint theorem, AC=CG. By SSS, the two are equal.
P.S. Sorry i kinda forgot the terms since i did geo last year :/
plz help Find a pattern for the sequence. Use the pattern to show the next two terms. 20 17 14 11...
Answer:
8,5
Step-by-step explanation:
20,17,14,11,8,5,2,
The critical points of a rational inequality are -1, 3, and 4. Which set of points can be tested to find a complete
solution to the inequality?
x= 1 and x = 3.5
x= -1, x= 3, and x = 4
O x = -2, x = 2, and x = 5
O x= -3, x= 1, x= 3.5, and x = 5
Nexty
Save and Exit
Submit
Mark this and return
Answer:
It's D I got it right
Step-by-step explanation:
I know
Answer:
D
Step-by-step explanation:
x = –3, x = 1, x = 3.5, and x = 5
Select the correct graph of linear function shown in each table below
I REALLY NEED HELP.It’s due at 3:30 today
Answer:
from top to bottom it is b c a
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
x = –2, x = –8
x = –2, x = –6
x = –2, x = 6
x = –2, x = 8
Answer:
x = -2, x = 6
Step-by-step explanation:
18 = 3|x - 2| + 6
12 = 3|x - 2|
4 = |x - 2|
4 = x - 2 and -4 = x - 2
x = 6 and x = -2
Answer:
C
Step-by-step explanation:
x = -2 x = 6
got it right on EDGE
Select all ratios equivalent to 3:5.
6 : 10 10 : 25 25 : 15
7 - (-14) help me show the work plzz
8. Solve the formula K = 3M - 7 for M
Answer:
m = [tex]\frac{k + 7}{3}[/tex]
Step-by-step explanation:
k = 3m - 7
k + 7 = 3m - 7 + 7
k + 7 = 3m
[tex]\frac{k + 7}{3}[/tex] = m
(I'm not 100% sure fyi)
Two large and 1 small pump can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool? Please help me answer I'm in 5th grade and this is so hard.
Answer:
Let's define.
L = rate at which the large pump fills the pool.
S = rate at which the small pump can fill the pool.
We have two relations:
"Two large and 1 small pump can fill a swimming pool in 4 hours."
(2*L + S)*4h = 1
"One large and 3 small pumps can also fill the same swimming pool in 4 hours."
(L + 3*S)4h = 1
Then we have the system of equations:
(2*L + S)*4h = 1
(L + 3*S)4h = 1
To solve this system, we need to isolate one of the variables in one of the equations, i will isolate S in the first equation:
S = 1/4h - 2*L
Now we can replace that in the second equation:
(L + 3*(1/4h - 2*L))4h = 1
L + (3/4h) - 6*L = 1/4h
-5*L = 1/4h - 3/4h = -2/4h
L = (2/4h)*(1/5) = (2/20h) = 1/10h
This means that one large pump needs 10 hours to fill one pool.
With this, we can find the value of S:
S = 1/4h - 2*L = 1/4h - 2/10h = 5/20h - 4/20h = 1/20h
This means that a small pump needs 20 hours to fill a pool.
Now we can answer:
How many hours will it take 4 large and 4 small pumps to fill the swimming pool?
We need to solve the equation:
(4*(1/10h) + 4*(1/20h))*T = 1
We need to find the value of T.
T = 1/((4*(1/10h) + 4*(1/20h)) = 1.67 hours.
This means that 4 large and 4 small pumps need 1.67 hours to fill a pool.
a plumber charges a flat fee of $79 to visit a home and examine a clogged drain the plumber charges an additional $24 per hour spent fixing the drain. the total cost C in dollars for fixing to dream that takes H hours is given by the following :
C=24h + 79
question 1 ? what is the total cost for fixing a drain that takes 5 hours ?
question 2? if the plumber charged a total of $343 how many hours did he spend fixing to drain ?
can someone help! with this please.
hey! im confused on this. ill give more points if you end up being correct :)
Answer:
A
Step-by-step explanation:
i'm stuck, plsss help ASAPP!!! :))
Answer:
15 units
Step-by-step explanation:
[tex]d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]
d = 14.866
d = 15
Kylie is hosting a movie marathon over the weekend. There will be p people at the party altogether. Kylie estimates she'll need one bag of cheese popcorn and one pack of gummy worms per person. A bag of cheese popcorn costs $2.50, and a pack of gummy worms costs $1.50.
What is the rule for the reflection?
ry=x(x, y) → (–y, –x)
ry=–x(x, y) → (–y, –x)
ry=x(x, y) → (y, x)
ry=–x(x, y) → (y, x)
Answer:
B
Step-by-step explanation:
Answer:
B. ry=–x(x, y) → (–y, –x)
Step-by-step explanation:
Does this graph represent a function? Why or why not?
10+
8
8+
4+
2+
- 1084
4
-10
A. Yes, because it passes the vertical line test.
B. No, because it is not a straight line.
C. Yes, because it has two straight lines.
D. No, because it fails the vertical line test
the answer is D. I hope that helps
Given: AABC = ADEF
Determine the perimeter of A ABC.
A) 7 units
B) 12 units
C) 15 units
D) 21 units
Answer: Its C!( 15 units)
Step-by-step explanation:
what type of angle is this?
I need help fast please
Answer:
A
Step-by-step explanation:
Number of lunches, and the cost both still need to go up.
Tbh this one just seemed right!
Hope this was right! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
( ﾟдﾟ)つ Bye