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EastWind [94]
3 years ago
8

What is the value of x 5,2.5,7.5,10

Mathematics
2 answers:
Norma-Jean [14]3 years ago
3 0
This question is referred to two similar triangles.

One triangle has sides x and x - 2.

The other triangle has the respective sides x + x + 5 and x - 2 + x + 1

Then you can state a proportionality relation between the sides>

[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]

=> [2x + 5] / x = [2x - 1] / [x - 2]

=> (2x + 5)(x - 2) = (2x - 1)x

=> 2x^2 - 4x + 5x - 10 = 2x^2 - x

=> x - 10 = - x

=> 2x = 10

=> x = 10 / 2

=> x = 5

Answer: x = 5
Alika [10]3 years ago
3 0

Answer:

Proportions In Triangles Quiz Connexus  

1. A.) UVW~UWT~WVT

2.) A.) a= 9/2, b=15/2

3.) A.) 5

4.) A.) 46 2/3 yards

5.) D.) 8.3 cm, 5.8 cm

These are correct i got a 100% Have A Blessed Day

Step-by-step explanation:

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4:3,12:9, and 16:12

Step-by-step explanation:

8 0
2 years ago
Solve for x: 3x + 4 = 9
coldgirl [10]

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3 0
3 years ago
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Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
3 years ago
Rewrite the equation below so that it does not have fractions.
rjkz [21]
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hope this helps!
4 0
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20% of the rose Annette picked from a rose garden were red if she picked 10 red roses how many roses did she pick from the garde
horrorfan [7]

Answer:

Option A

Annette picked  50 roses  from the garden

Step-by-step explanation:

Let us understand the problem, designating letters to represent unknown quantities.

Let the total number of roses = x

20% of the roses were red means that 20% of x = red

Since the number of red roses = 10,

we will have that 20% of x = 10

mathematically, we will have

\frac{20}{100} \times x = 10\\x= \frac{1000}{20}= 50

hence, Annette picked  50 roses  from the garden

7 0
3 years ago
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