Answer:
6) 9x-25+9x-25(sum of base angles)
9x-25+9x-25+104=180(sum of angles in a triangle)
collect like terms
9x+9x-25-25+104=180
18x-50+104=180
18x+54=180
18x=180-54
18x=126
divide both sides by 18
18x÷18=126÷18
x=7
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.
Learn more about horizontal distance here:https://brainly.com/question/24784992
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(7x+3)=14x+b
What are the values of A and B?
Answer:
24
Step-by-step explanation:
I think there the same for each but I hope I helped
7 - (-14) help me show the work plzz
Solve: 10 < 12x + 41
Answer:
8
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
hey! im confused on this. ill give more points if you end up being correct :)
Answer:
A
Step-by-step explanation:
HELP WILL MARK BRAINLIST!!!!!!!!!!! DUE TODAY 10:52 Write 1/8% as a decimal number. Enter your answer in the box.
Answer:
12.5
Step-by-step explanation:
Answer:
.125
Step-by-step explanation:
divide 1 by 8
or divide 1 by 4 then divide by 2
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,
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?
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
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.
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 ?
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
What should you do during the editing stage of the writing process?
Question 6
Given h(x) = -8(x - 5), what is the value of h(-6)?
Previous
Answer:
h(-6) = 88
Step-by-step explanation:
h(-6) = -8(-6 - 5)
= -8(-11)
= 88
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)
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
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
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
Which of the following is not a solution to the inequality
4x + 1 ≤ 18
A. 4
B. 4.23
C. 4.25
D. 4.27
Answer: A 4
step by step explmationn
Answer:
C. 4.25
Step-by-step explanation:
You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25
3+3=
1. 4
2. 3
3. 2
4. 7
5. 9
6. 1
7. 10
8. 6
Answer:
The number 8.ITS 6
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
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 value of x
a 10
b -12
c -10
d-9
Convert this words into actual number
A. seventy and one thousand, four hundred three ten-millionths
B. seventy-two and one thousand, six hundred forty-two-hundred-thousandths
Answer:
i think it's a= 70.0000001403 b=72.00001642
Step-by-step explanation:
hope this helps! please mark as brainliest!
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:
Select all ratios equivalent to 3:5.
6 : 10 10 : 25 25 : 15
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 :/