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Dmitry [639]
2 years ago
7

Patrick, Paulo, and Joseph divided 68 oranges. Patrick got two oranges less than Paulo and Paulo got twice as much as Joseph. Ho

w many oranges did Joseph get?
Mathematics
1 answer:
Tatiana [17]2 years ago
3 0
Let's say patrick=a, paulo=b and joseph=c:

(1) a+b+c=68
(2) a+2=b
(3) b=2c

substituting (2) in (1) gives:

(4) 2a + c = 66 => a = 33 - c/2

(3) in (2) gives:

(5) a+2=2c

(4) in (5):

33 - c/2 + 2 = 2c => 35 = 2.5c => c=14

Joseph got 14 oranges!


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Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?
kramer

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

4 0
2 years ago
(a) A natural number that is greater than 25 and less than 40
zloy xaker [14]

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

(a) A natural number that is greater than 25 and less than 40

Natural Number : These are numbers starting from 1 or also sometimes from zero and are all positive !  A natural greater than 25 & less than 40 is 30 .

(b) An integer which is less than -5 and a multiple of 2

Integer : An integer is a whole number not a fraction including 0 . It can be positive or negative ! Integer less than -5 and a multiple of 2 is -6.

(c) A rational number between 1 and 2

Rational Number : A number which can be expressed in form of p/q where q is not equal to 0 . A rational number between 1 & 2 is 3/2 .

(d) An irrational number between 8 and 9.​

Irrational Number: A real number which is not rational or can't be written in form of p/q . An irrational number between 8 & 9 is 6\sqrt{2} .

5 0
2 years ago
Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurri
beks73 [17]

9514 1404 393

Answer:

  • x + y = 20
  • 20x +30y = 450

Step-by-step explanation:

The equation for the total number of cases is ...

  x + y = 20

The equation for the total cost of the cases is ...

  20x +30y = 450

_____

<em>Additional comment</em>

The solution to these equations is (x, y) = (15, 5).

5 0
2 years ago
What is the GCF of 90 and 190?
IrinaVladis [17]
Let's first find out their factors.

90's factors are : 

1,2,3,5,6,9,10,15,18,30,45,90

190's factors are :

1,2,5,10,19,38,95,190

The common factors of 90 and 190 are :

1,2,5 and 10. 

The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.




7 0
2 years ago
Read 2 more answers
Solve for x.<br> 3(15 - x) = 2x
Morgarella [4.7K]

Answer:

well

Step-by-step explanation:

3 times 15 is 45

then 3 times negative x is -3x

so 45 - 3x = 2x

3 x moved to the other side turns positive

so you have

5x = 45

45÷5

x = 9

8 0
2 years ago
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