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Paha777 [63]
4 years ago
12

Here are two rectangles.

Mathematics
1 answer:
Sophie [7]4 years ago
6 0

Answer:

AB=9.5\ cm

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

A=(PQ)(QR)

A=66\ cm^2

so

66=(PQ)(QR)

substitute the value of QR

66=(PQ)(12)

solve for PQ

PQ=66/12\\PQ=5.5\ cm

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

P=2(AB+BC)

we have

P=30\ cm\\BC=PQ=5.5\ cm

substitute

30=2(AB+5.5)

solve for AB

15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm

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Long division 207 divided by 9 show your work
mihalych1998 [28]
You break up the 207 into smaller numbers you can work with. 9 can go into 20 a maximum of 2 times, so you subtract 2*9 or 18 from 20. Then, you bring down the 7. 9 goes into 27 exactly 3 times, so you have 9*23=207.

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3 years ago
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses:
vaieri [72.5K]

Answer:

Mean: 11.2

Median: 11

Mode: There is none

Step-by-step explanation:

mean -you add all the numbers and divide by the number of numbers

median- you arrange the data set by numerical value (increasing) and it is basically the "middle number" for example 1, 2, 3, (2 would be the "middle" number" )

mode- is the number that appears most often. in this scenario, all numbers appear the same amount of times (1) so there is no mode.

3 0
3 years ago
Read 2 more answers
Find the value of x in the given statement. The diagram is not to scale.
Evgen [1.6K]
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


3 0
4 years ago
12+2(4+2)*3rd power?
nikitadnepr [17]

Answer: 444

Step-by-step explanation:

your welcome have a good day! ^-^

7 0
3 years ago
Read 2 more answers
I need to know the answer to this
Brums [2.3K]

Answer: 276

Step-by-step explanation:

multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.

3 0
3 years ago
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