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Alex17521 [72]
2 years ago
8

Tell whether the pair of polygons is similar. Explain why or why not.

Mathematics
2 answers:
suter [353]2 years ago
5 0

Not similar. The ratio of sides is not the same

tresset_1 [31]2 years ago
4 0

Answer:

The pair of polygons is not similar.

Step-by-step explanation:

Two parallelograms are similar if their sides have the same ratio.

Ratio of sides in parallelogram PQRS:

(13 ft)/(8 ft) = 1.625

Ratio of sides in parallelogram TUVW:

(5.2 ft)/(2.4 ft) ≈ 2.17

Therefore, they are not similar.

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Given the following definition, compute Q(5). Q(n) = 0 if n = 0 2 if n = 1 4 if n = 2 Q(n − 1) + Q(n − 2) + Q(n − 3) if n > 2
aalyn [17]
We have 
Q(0)=0\\
Q(1)=2\\
Q(2)=4
and Q(n)=Q(n-1)+Q(n-2)+Q(n-3)\mbox{ when } n\ \textgreater \ 2.
So 
Q(3)=Q(2)+Q(1)+Q(0)=4+2+0=6\\
Q(4)=Q(3)+Q(2)+Q(1)=6+4+2=12\\
Q(5)=Q(4)+Q(3)+Q(2)=12+6+4=22.

3 0
2 years ago
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where w is the width and l is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in w+3 as l in the equation 2l+2w=22.

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find l.

l = w+3\\\\l = 4+3\\\\l=7

Hope this helped!

7 0
3 years ago
H is 60% of m.<br> Also, r is 75% ofm.<br> Work out h as a percentage of r.
ivolga24 [154]

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

h=80% of r

Step-by-step explanation:

6 0
3 years ago
Fill in the blank with the correct response.<br><br> Twenty-one is 20% of
Lana71 [14]

Answer: 105

Step-by-step explanation:

105 * .2 = 21 :)

5 0
2 years ago
How do you think the population density of Cleveland, a major city in Ohio, compares with the population density of the state? E
Sveta_85 [38]

A large city represents an area where people live closer together than they do in the countryside, or in small cities. Hence its population density is greater than the average for cities and rural areas combined.

The population density of Cleveland is greater than that of the state of Ohio.

7 0
3 years ago
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