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adell [148]
3 years ago
14

Sarah baby-sits her cousins once a week. She gets paid $10 per hour and she includes a travel fee. if she baby-sat for 5 hours a

nd was paid $72,what is the cost of her travel fee.
Mathematics
1 answer:
likoan [24]3 years ago
5 0
22$......................
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The sum of two numbers is 15.
Blizzard [7]

Answer:

7

Step-by-step explanation:

15-8=7 this is how you answer it

3 0
3 years ago
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Given: Base ∠BAC and ∠ACB are congruent.
Sergio039 [100]

Refer to the image attached.

Given: \angle BAC and \angle ACB are congruent.

To Prove: \DeltaABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

\angle BAD = \angle BCD (given)

\angle ADB = \angle BDC = 90^\circ

(By the definition of a perpendicular bisector)

AD=DC (By the definition of a perpendicular bisector)

Therefore, \Delta ABD \cong \Delta BDC by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

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3 years ago
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A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi
Jobisdone [24]

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

8 0
3 years ago
13. What is the surface area of the rectangular solid below using its net?
loris [4]

<u><em>Answer:</em></u>

108 square units

<h3><u><em>Step-by-step explanation:</em></u></h3>

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is <u>108 square units</u>

4 0
2 years ago
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
mr Goodwill [35]

Answer:

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

8 0
3 years ago
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