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3 years ago

Jane walks 6 miles in 2 hours. Find the unit rate.

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

She walks 3 mph because when you divide it by 2 it will equal

3 miles in 1 hour

kicyunya [14]3 years ago

5 0

The answer would be 3 miles per hour since hour is the close'est to match the time it might take a while to convert to seconds

Just divide both sides by two until it reaches one hour which can be stated as MPH

You could also write it as 1.34112 meters per seconds that would tecnicly also be correct

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Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

Please help thank you !

KIM [24]

Answer:

10.8239 approximately 10.82 (in 2 decimal places)

Step-by-step explanation:

the steps are shown in the picture attached :))

4 0

2 years ago

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the radius of the center circle of a basketball court is 6 feet. What is the circumference of the center circle.

Elena-2011 [213]

Remember the equation to find the circumference?

Equation of circumference: Pi x 2(radius)

Therefore, 3.141592654 x 2(6ft) = 37.7 feet

6 0

3 years ago

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I don’t know how to solve this

LuckyWell [14K]

Answer:

(3x-5)x(3x+5)

Step-by-step explanation:

Calcula el producto

7 0

3 years ago

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It’s a bonus question on a work sheet I need your help.

xz_007 [3.2K]

Answer:

I think 5 because they both go into it

7 0

2 years ago