The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
For more details about the Equation refer to the link given below.
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Answer:
its B Lin walked southwest, creating an obtuse triangle
Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent
Answer:
solution, cp=Rs150 profit=Rs12 Now, profit percent=profit% of cp or,profit percent=12/100 x Rs150 Therefore,profit percent =18%
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
We know that
Profit% = Profit/CP × 100
=> 12/150 × 100
=> 12/15 × 10
=> 4/5 × 10
=> 8%
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.
The two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
We have given that,
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.
What is the similar triangles?Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.
The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
h / 12 = 5 / 4
Therefore, h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
To learn more about the triangle visit:
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Answer:
i am on ttm
Step-by-step explanation:
12/4=h/5
5/4=h/12
What is 98,765 - 9,876?
Answer:
88889
Step-by-step explanation:
This is because you do stacked subtraction to get final answer
Answer:
88,889
Step-by-step explanation:
98,765 - 9,876 = 88,889
Find the value of x.
Answer:
Step-by-step explanation:
The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.
3x = 2 * 48
3x = 96 Divide by 3
3x/3 = 96/3 Combine
x = 32
Simplify the expression 4(2x−8y) + 3y
Answer:
8x-29y Sorry if wrong!
Step-by-step explanation:
You have to distribute first and then combine like terms.
Answer:
8x-29y
Step-by-step explanation:
You have to distribute first and then combine like terms.
And that is where you get your answer.
Hope this helps.
I didn't pay attention to day
Answer:
%2.9
Step-by-step explanation:
Step-by-step explanation:
please complete your question
Every eight minutes the river raft can load 88 passengers what is the loading rate for passengers per minute
Answer:
11 passengers per minute.
Step-by-step explanation:
To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.
88/8 = 11
To check:
11 passengers per min x 8 mins = 88 passengers.
please help me asap ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty tyt ty ty
this is like the other question i just posted, but this one is subtraction instead of addition..
Answer:
y = x/2 + -3
Step-by-step explanation:
x - 2y = 6
Subtract x from both sides
-2y = -x + 6
Divide both sides by -2
y = x/2 + -3
Answer:
y = 1/2x - 3
Step-by-step explanation:
Subtract x both sides
-2y = 6 + (-x)
Divide -2 both sides
y = -3 + 1/2x
y = 1/2x - 3
Can someone please take time out of their day and help me with this
Can someone please help me, i don't understand this work.
Answer: Check out the diagram below for the filled out table
Equation is y = 1.5x
Box for row one = 330
Box for row two = 1000
Box for row three = 1.5
===========================================================
Explanation
x = amount of fish in grams (horizontal axis)y = number of calories (vertical axis)The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope
slope = y/x = 300/200 = 1.5
This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.
The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.
So if x = 220, then y = 1.5x = 1.5*220 = 330
220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.
-----------------
We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).
y = 1.5x
1500 = 1.5x
1.5x = 1500
x = 1500/(1.5)
x = 1000
Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.
------------------
The third row of the table is going to follow the same steps as the first row.
y = 1.5x
y = 1.5*1
y = 1.5
One gram of fish produces 1.5 calories
The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.
If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
Help me with this please.......
Step-by-step explanation:
12 x + 124⁰ = 360⁰
12x = 236⁰
x = 19.67 Is your answer
I need help plz
ASA
SSA
SAS
AAS
Answer:
SAS,
Step-by-step explanation:
2 sides and the included angle.
What is the measure of a third angle of this triangle
Please explain how to solve in a easy way
How much will is cost for 10 pencils and one notebook
Notebook $1.25
Pencil $0.50
Binder $2.15
Pen $0.80
Answer:
$6.25
Step-by-step explanation:
10 pencils = $0.5 times 10 = $5
$5 plus $1.25 (price of the notebook) = $6.25
what is s and what is t?
Answer:
Step-by-step explanation:
S = 2
T = -2
so in S - T = 4. 2 - -2 = 4
IN S + T = 2 S + - 2 = 2
A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$666.18
Step-by-step explanation:
613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)
MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other
Answer:
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).
We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:
g(11) = (11-5)/2 = 3. It works.
We have proven that f(x) and g(x) are the inverses of each other.
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Plz. Helppp me what the answer???
Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?
Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00
The 20% was applied after the coupon so the price after the coupon was:
= Total price / ( 1 - Discount)
= 60 / ( 1 - 20%)
= $75
The coupon was $10 so before it was attached it the price was:
= Price after coupon + coupon
= 75 + 10
= $85
In conclusion, the original price was $85.
Find out more on this at https://brainly.com/question/14413529.
Please help me solve this problem ASAP
Answer:
28?
Step-by-step explanation:
4x=2x+56 (equal angles)
2x=56 (divide both sides by 2)
x=28 (angle)
Answer:
∠B = 112°
Step-by-step explanation:
1) ∠B and ∠D are congruent because they are alternate interior angles (same side interior) so they equal the same
2) Set the two expressions equal to each other:
2x+56 = 4x
56 = 2x
x=28
3) Plug 28 in for x in the expression (2x+56) and get 112°
Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?
Answer:
A= L x W
A= 25.75 X 10.2
A= 262.65
Step-by-step explanation:
THE AREA OF KATHLEEN'S VEGETABLE GARDEN
Somebody please help
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.
Answer:
Step-by-step explanation:
Given:
x1 = -1
x2 = 6
y1 = 2
y2 = 3
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 3 - 2 ) / ( 6 - -1 )
m = 1 / ( 6 + 1 )
m = 1/7
Then,
y - y1 = m ( x - x1 )
y - 2 = 1/7 ( x - -1)
y - 2 = 1/7 ( x + 1 )
y - 2 = 1/7x + 1/7
y = 1/7x + 1/7 + 2
y = 1/7x + 15/7
Please help me with thiss
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2
From 93 books to 144 books
51 Books
I think this is what you're looking for?
What is the domain of f(x) = (x + 2)2 – 1?
Simplify
[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]
The Domain is set of all real numbers
[tex]\\ \tt\Rrightarrow Domain\in R[/tex]
15.21 x 0.72 can somebody help its an assignment
Answer:
10.9512
Step-by-step explanation:
Answer:
10.9512 (not sure if u have to round it)
Step-by-step explanation:
Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.
The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.Learn more about sequences in: https://brainly.com/question/21961097
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Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.
What is a double number line?
A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.
For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.
Is the double number line correct?
This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:
0, 4, 8, 12 (multiples of 4), which means 3 does not match.
Solve this math problem. Correct answer gets brainliest.
Answer:
$28.50
Step-by-step explanation:
21 ÷ 14 = 1.5
19 · 1.5 = 28.50
Hope this helps!!