7. PQ contains points Rand S such that PR, RS and SQ are respectively three consecutive evenintegers. If PQ is 54, find the length of the middle segment, RS
Answers
The length of the middle segment RS is determined as 18.
How to calculate the middle segment?
Let's assume that the three consecutive even integers are x, x + 2, and x + 4
So, the length of PR (x) + the length of RS (x + 2) + the length of SQ (x + 4) equals the total length of PQ (54).
Mathematically, this can be represented as:
x + (x + 2) + (x + 4) = 54
Now, let's solve for x:
3x + 6 = 54
Subtract 6 from both sides:
73x = 48
Now, divide by 3:
x = 16
So, the first even integer (PR) is 16, the second even integer (RS) is 16 + 2 = 18, and the third even integer (SQ) is 16 + 4 = 20.
Thus, the length of the middle segment RS is 18.
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Answer:
RS = 18
Step-by-step
PR = x
RS = x+2
SQ = x+4
x+(x+2)+(x+4)=54
3x+6=54
3x=48
x=16
PR = 16
RS = 18
SQ = 20
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Answers
Answer:
The correct option is;
B) 0
Step-by-step explanation:
Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers
Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....
Answer: Its B.) 0
Step-by-step explanation:
c. d.
What is the common difference in the sequence 8, 16, 24, 32, . . .?
a. 24
b. 16
c. –8
d. 8
The floor of a rectangular room will be tiled with square tiles that measure 3 inches on each side. The room is 109 inches long and 103 inches wide. ...
Answers
1)
x= the width
2x=the length
x-3= the height
V=x*2x*(x-3)=2x^3-6x²
2)
16-8=8
24-16=8
32-28=8
difference=8
answer D
3)
a) if you put the squares side by side horizontaly you will need 37*34=1258 squares (for a perfect job)
b) or 109*103/9≈1248 squares (cutting squares)
L=2W
heigt is 3 less than width
H=W-3
if W=x
V=??
V=LWH
W=x
L=2x
H=x-3
V=(2x)(x)(x-3)
V=(2x^2)(x-3)
V=2x^3-6x^2
common difference is the nth term minus the n-1 term
basically a term minus the one before it
16-8=8
common differnce is 8
how many tiles
find area of room
area of room=109*103=11227
area of tile=3^2 since it is asquare or 9
areaof1tile times how many tiles=areaofroom
9*howmany=11227
divide both sids by 9
how many=1247.44444
round up so you have enough (since you can't buy 0.4444 tiles)
how many=1248
1248 tiles
Answers
There are 16+34+24+26=100 jelly beans in total.
The probability is 4/25, or 16%.
Answer:
4/25
Step-by-step explanation:
The answer is 4/25
B. 52
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Answers
I hope it is right?
Answers
Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18
Measure of smallest angle is 18 degrees.