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Cloud [144]
2 years ago
13

Las edades de cuatro hermanos forman una progresión aritmética, y su suma es 32 años. El mayor tiene 6 años más que el menor. Ha

lla las edades de los cuatro hermanos.
Mathematics
1 answer:
Masteriza [31]2 years ago
8 0

Answer:

The ages of the four siblings are: 5, 7, 9 and 11 years old.

Step-by-step explanation:

The computation of the age of the four siblings is shown below:

Given that

n = 4

a1 =? a2 =? a3 =? a4 =?

a4 = a1 + 6 years

S4 = 32

Based on the above information

As we know that

Sn = (a1 + a4) ×  n ÷ 2

S4 = (a1 + a4) × 4 ÷ 2

32 = (a1 + a1 +6) × 2

16 = 2a1 + 6

 2a1 = 10

 a1 = 10 ÷ 2

= 5

So,  a4 = a1 +6

= 5 +6

= 11

a4 = a1 + (4-1) × d

11 = 5 + 3 × d

d = 6 ÷ 3

= 2

So,

a2 = a1 + d

= 5 + 2

= 7

a3 = a2 + d

= 7 + 2

= 9

Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.

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Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
Hoochie [10]

Answer:

The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles

Step-by-step explanation:

In triangle ABD:

∠B = ∠D

Thus AB=AC by the property of opposite sides of equal angles are equal

In triangle CBD

∠B = ∠D

Thus CB=CD  by the property of opposite sides of equal angles are equal

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So, it is a rhombus

Therefore the correct option is  parallelogram ABCD is a rhombus, because the diagonal bisects two angles....

5 0
3 years ago
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kenny6666 [7]

Answer:

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Step-by-step explanation:

the answer is -18 and 10

8 0
3 years ago
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Margarita [4]
A. You would start off by a rectangle in the middle, then you would place to squares on the bottom and top if the rectangle. After you've done that, you place two rectangles (Same size as the original) on both sides of the original rectangle. Finally you add a rectangle (Same size) to either ends of the secondary rectangles. It should look like this.


B. You would start off with a rectangle in the middle, then you would add 2 equilateral triangles to the top and bottom of the rectangle. After that, you Simply put 2 rectangles (Same size as the original) on both sides of the rectangle. It should look something like this.

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I hope this helped ^^

4 0
3 years ago
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Bingel [31]
The answer is 23 because you would substitute in the 4 for the X and multiply 5 times 4 = 20 then add 20 plus 3 and you get 23
7 0
3 years ago
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katovenus [111]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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