The shortest routes between each pair of nodes are:
- Fruit - Hay: Fruit - Shade - Grass - Hay or Fruit - Shade - Barn - Hay (tied for shortest route)
- Grass - Pond: direct route with a distance of 190
To determine the shortest route between a pair of nodes, we need to consider all possible routes and compare their distances.
In this case, we have five pairs of nodes to consider: Fruit - Hay, Grass - Pond, Fruit - Shade, Barn - Pond, and Fruit - Pond.
Starting with Fruit-Hay, we don't have any direct distance given between these two nodes. However, we can find a route that connects them by going through other nodes.
One possible route is Fruit - Shade - Grass - Hay, which has a total distance of 165 + 95 + 60 = 320.
Another possible route is Fruit - Shade - Barn - Hay, which has a total distance of 165 + 35 + 120 = 320.
Therefore, both routes have the same distance and are tied for the shortest route between Fruit and Hay.
Moving on to Grass-Pond, we have a direct distance of 190 between these two nodes.
Therefore, this is the shortest route between them.
For Fruit-Shade, we already considered one possible route when looking at Fruit-Hay.
However, there is also another route that connects Fruit and Shade directly, which has a distance of 165.
Therefore, this is the shortest route between Fruit and Shade.
Looking at Barn-Pond, we don't have a direct distance given. We can find a route that connects them by going through other nodes.
One possible route is Barn - Hay - Grass - Pond, which has a total distance of 120 + 60 + 190 = 370. Another possible route is Barn - Shade - Fruit - Pond, which has a total distance of 35 + 165 + 300 = 500.
Therefore, the shortest route between Barn and Pond is Barn - Hay - Grass - Pond.
Finally, we already considered Fruit-Pond when looking at other pairs of nodes. The shortest route between them is direct, with a distance of 300.
In summary, the shortest routes between each pair of nodes are:
- Fruit - Hay: Fruit - Shade - Grass - Hay or Fruit - Shade - Barn - Hay (tied for shortest route)
- Grass - Pond: direct route with a distance of 190
- Fruit - Shade: direct route with a distance of 165
- Barn - Pond: Barn - Hay - Grass - Pond
- Fruit - Pond: direct route with a distance of 300
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can someone explain how to do this
Answer:
مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك
Step-by-step explanation:
Answer:
I recommend using GeoGebra to graph the coordinates
Step-by-step explanation:
I use that whenever someone asks if certain coordinates make a shape
Here's the link:
http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html
Kate got 2 out of the 3 questions correct on her pop quiz what is her grade
Answer:
0.6666666666etc but you have to round it to 67 because it is closer to 67
Step-by-step explanation:
Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.
Answer:
Yes these triangles ate similar.
Step-by-step explanation:
The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.
For the diagram shown, find the measures of angles 4,
5, and 6.
m_4 =
degrees
m25 =
degrees
m26 =
degrees
Answer:
m∠4 = 57 degrees
m∠5 = 123 degrees
m∠6 = 35 degrees
Step-by-step explanation:
Write an equivalent expression by factoring for 6a + 15
The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3
Please help me giving brainliest
Answer:
90 degrees
Step-by-step explanation:
classmate is muy stupio
the non 90 degree angles are all congruent
which means each of them are 45 degrees
cuz triangle degree add up to 180
then
u use subtraction
cuz a line is 180 degrees
Convert to 0,125km
to centimetres..........
Answer:
12500 cm
Step-by-step explanation:
0,125 km = 125 m (times 1000 because 1 km = 1000 m)
125 m = 12500 cm (times 100 because 1 m = 100 cm)
Answer for brainliest
Step-by-step explanation:
The diameter is 6, so the square is also 6 feet by 6 feet. This means the square has an area of 36 feet.
Find the area of the circle:
3.14 * 3^2
3 ^ 2 = 9
3.14 * 9 = 28.26
Now find the area of the edges of the square.
36 - 28.26 = ~7.74 ft
A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area
Answer:
Step-by-step explanation:
Hope this helps
click link
Answer: 5 2/6
Step-by-step explanation:
Please find X ASAP. You’ll find it on the picture
Answer:
51°
Step-by-step explanation:
so lets all know that the sum of a trapezoid is 360°
so lets find x
360-83-115-111=51
so your answer is 51°
Hope this helped :)
A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx, and cosx.
Step-by-step explanation:
In the given triangle,
Perpendicular = d
Hypotenuse = e
Base = f
We need to find the values of sinx, tanx and cosx.
We know that,
[tex]\sin \theta=\dfrac{P}{H}\\\\\tan\theta=\dfrac{P}{B}\\\\\cos\theta=\dfrac{B}{H}[/tex],
We have, P = d, H = e and base = f
So,
[tex]\sin \theta=\dfrac{d}{e}\\\\\tan\theta=\dfrac{d}{f}\\\\\cos\theta=\dfrac{f}{e}[/tex]
Hence, this is the required solution.
Using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fRecall:
In a right triangle where we are given a reference angle, ∅, with three sides, we can solve the triangle using the Trigonometry ratios given as: SOH CAH TOA.Given the following:
∅ = xOpposite = dHypotenuse = eAdjacent = fThus:
sin x = Opp/Hyp = d/e (SOH)
cos x = adj/Hypo = f/e (CAH)
tan x = Opp/Adj = d/f (TOA)
Therefore, using the lengths given, the Trigonometry ratios of the right triangle are:
sin x = d/e cos x = f/etan x = d/fLearn more about Trigonometry ratios on:
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SPIRAL REVIEW - Find the value of the expression below.
96 ÷ 4² + (25×2) - 15 - 3
Answer:
38
Step-by-step explanation:
96/16
+(25)(2)−15−3
=6+(25)(2)−15−3
=6+50−15−3
=56−15−3
=41−3
=38
Hey, guys I need help :D
Answer:
D
Step-by-step explanation:
Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8
We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees
Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!
can anyone answe this?
Answer:
Corresponding
Step-by-step explanation:
PLS HELPP I WILL GIVE BRAINLIEST
For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).
The congruency rules is as follows;
4)a) The triangles are congruent by SSS Congruency Postulate
b) Triangle PQR is congruent to Triangle PQS
5a) The triangles are not congruent
b) Triangle VWZ is not congruent to Triangle YXZ
6a) The triangles are congruent by SAS Congruency Postulate
b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate
7) The triangles are not congruent
b) ΔKLJ is not congruent to ΔMNL
How to Identify Congruent Triangles?There are different congruency postulates or theorems as it pertains to congruent triangles and they are;
AAS theorem which denotes Angle-Angle-Side Theorem
HL theorem which denotes Hypotenuse-Leg Theorem
SSS Postulate which denotes Side-Side-Side Postulate
ASA postulate which denotes Angle-Side-Angle Postulate
SAS Postulate which denotes Side-Angle-Side Postulate
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.
6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.
7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.
Read more about Congruent Triangles at; https://brainly.com/question/1675117
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someone answer this please!! make sure to consider the function f(x)=3x-1
Answer:
The answers go
2
-1
-4
4
''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''
You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.
Answer:
90
Step-by-step explanation:
You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go
Help please will give the brainliest
Answer:
Every angle of Square = 90°
diagonal bisects the angle in half.
=> angle FGI = 45°
=> 7x+3=45
=>7x=42
therefore, x=42/7=6
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
Ginger the cat weighed 25lbs! The vet put Ginger on a diet and by the end of the month, Ginger weighed 20lbs. What percentage of her weight did Ginger loose? She lost of her weight.
Answer:
20%
Step-by-step explanation:
25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.
Answer:
ana totta
Step-by-step explanation:
Evaluate -4 x (2 + -3).
Answer:
positive 4
Step-by-step explanation:
you first add the numbers in the numbers in the brackets
2+-3=-1
-4×-1=+4
Step-by-step explanation:
-4×(2+(-3) )
= -4×(2-3)
=-4×-1
= 4
Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
CAN SOMEONE HELP ME PLEASE
Answer:
[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]
3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.
The measure of angle 1 is (10x+8) and the measure of angle 3 is (12x-10)
What is the measure of angle 2 in degrees?
9
98
82
16
Answer:
The answer is C. 82 degrees!
Step-by-step explanation:
Hope this helped! Have a fantastic rest of ur day/ night! :)))
I will mark brain list to the person who got it correct
Answer:
-6
djdhhdhdxbxvsbsbvsshhsdh
-6 hehdbnfjenend
Step-by-step explanation:
hfea ehsusbshidbd