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Lynna [10]
3 years ago
11

Help me on this question

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Rashid [163]3 years ago
6 0

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10} and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

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TO
ipn [44]

Answer:

50 soldiers must be transferred elsewhere.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.

30 days of provisions - 200 soldiers

40 days of provisions - x soldiers

40x = 200*30

Simplifying by 40

x = 5*30 = 150

The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.

4 0
3 years ago
The perimeter of the triangle is 44cm.if it’s sides are in the ratio 9:7:6.find its area
shepuryov [24]

Answer:

The area is 83.905 cm^3

Step-by-step explanation:

The total ratio is 9 + 7 + 6 = 22

So the length of the sides are as follows;

9/22 * 44 = 18 cm

7/22 * 44 = 14 cm

6/22 * 44 = 12cm

we can use Heron’s formula to find the area of the triangle

we find a first

s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22

Mathematically, the Heron’s formula is as follows;

A = √s(s-a)(s-b)(s-c)

where a, b and c are 18,14 and 12 respectively

Plugging the values, we have;

A = √22(22-18)(22-14)(22-12)

A = √(22 * 4 * 8 * 10)

A = √(7,040)

A = 83.905 cm^3

3 0
3 years ago
What is the value of x in the equation 1.5(х + 4) – 3 = 4.5(х – 2)?<br>​
Pavlova-9 [17]

Answer:

4

1.5(x+4) - 3 = 4.5( x-2)-----------------------open brackets on both sides

1.5 x +6 -3= 4.5x- 9.................................collect like terms

3+9 = 4.5 x- 1.5x

12=3x..................................divide by 3 both sides to get x

12/3=x

x=4

7 0
4 years ago
Read 2 more answers
I need help on this question
Vera_Pavlovna [14]
Option B is the answer
8 0
3 years ago
Simplify sqrt-12/sqrt6
atroni [7]
The answer is 1.41421356237
6 0
3 years ago
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