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jeka57 [31]
3 years ago
15

If ST=3x, TU=7x, and SU=10, what is ST?

Mathematics
1 answer:
iren2701 [21]3 years ago
3 0


S--------T--------U

ST = T U

SU = 10

ST + TU = SU

3x + 7x = 10

10x = 10

x = 10/10

x = 1

So, what do you think happens next?

ST = 3x

Let x = 1

ST = 3(1)

ST = 3

I hope this helps.
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a carpenter cuts a wooden beam that is 4m long into 5 equal pieces. what is the length of each piece.
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Answer:

4/5  meter

Step-by-step explanation:

4 meters

5 equal pieces

Then the length of each piece is:

4/5 meter

4 0
2 years ago
List two primes that are consecutive natural numbers. can there be any​ others?
vlabodo [156]
Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin prime conjecture) is still open e.g. 3 , 5; 41 , 43 ; 101 , 103 .
3 0
4 years ago
Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What
777dan777 [17]

Answer:

B) \frac{3}{4} x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

                               = 40 units

Dilating KMPT by a scale factor of \frac{3}{4} would create K'M'P'T' of dimensions; \frac{3}{4} × 12 units by \frac{3}{4} × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

                                  = 2(9 + 6)

                                  = 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be  \frac{3}{4} × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

         perimeter of K'M'P'T' = \frac{3}{4} * x units

                                            = \frac{3}{4}x units

6 0
4 years ago
It’s timed please help
love history [14]

Answer:

4 is included in the domain

Step-by-step explanation:

6 0
3 years ago
Need help will give 14 points
azamat

Answer:

1) False. 2) False.

Step-by-step explanation:

1) False. 2) False.

1) is false because it says, "A total of 40 students can type from 0-59 words per minute." 0-14w=5s, 15-29w=10s, 10-44w=14s, and 45-59w=20s. w= words per minutes s= number of students (BTW) 5+10+14+20=54 not 40

2) is false because it says, "The number of students who typed 45-59 words per minute is equal to the number of students who typed 15-39 and 0-14."

45-59w=20s

15-39w=10s and 0-14w=5s

10s+5s=15s

20s>15s

6 0
3 years ago
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