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aliya0001 [1]
3 years ago
15

Please help with this acellus question!

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

The value of x is 5

Step-by-step explanation:

In the given triangle

∵ A segment joining two points lie on the two side

∵ This segment is parallel to the third side

∴ This segment divides the two sides into parts that have the same ratio

→ That means x over 2x - 3 equal to 10 over 14

∵ \frac{x}{2x-3} = \frac{10}{14}

→ By using cross multiplication

∴ 10 × (2x - 3) = x × 14

∴ 10(2x) - 10(3) = 14x

∴ 20x - 30 = 14x

→ Add 30 to both sides

∵ 20x - 30 + 30 = 14x + 30

∴ 20x = 14x + 30

→ Subtract 14x from both sides

∵ 20x - 14x = 14x - 14x + 30

∴ 6x = 30

→ Divide both sides by 6

∴ x = 5

∴ The value of x is 5

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irakobra [83]
The function for a is (f o g) (x) = 8x^2-10.



Explanation

=========================
f(x)=2x-4, g(x)=4x^2-3, (f o g)=f(g(x))  

I already knew that the g of x is equal to 4x^2-3 so I substitute inside of the g of x

g(x)=4x^2-3 =======> f(x)=4x^2-3 =============> 2(4x^2-3)-4 

simplify it 
 
2(4x^2-3)-4  =======> 8x^2-6-4 =========> 8x^2-10

(f o g) = 8x^2-10


5 0
3 years ago
Read 2 more answers
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Kazeer [188]

Answer:

50

Step-by-step explanation:

From research among high school students in the US, it was discovered in 2017 by US Centre for Disease Control and Prevention Agency(USCDC), that around 57.8% of high school students have drank alcohol in the previous 1 year.

Now, applying it to this question, since the survey is done among 100 seniors, the most modest probability would likely be 50% which represents 50 people out of the 100 surveyed that will likely check yes

8 0
2 years ago
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
Archy [21]
Volume of Cylinder
= πr²h
= (3.14)(5)²(16)
= 1256 cm³

Volume of Cone
= 1/3πr²h
= 1/3(3.14)(4)²(12)
= 200.96 cm³

Volume of air space
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= 1256 - 200.96
= 1055.04 cm³
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3 years ago
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Alinara [238K]

Answer:

x intercept

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y intercept

x = 0 \\ y =  \frac{1}{3}  \times 0 + 3 \\ y = 3

5 0
3 years ago
How do you do this!???
german

Answer:

x=2

Step-by-step explanation:

assuming this shape is euclidean (don't pay attention to this just some extra info, assume that all triangles on a sheet of paper have angles summing to 180)

The sum of all angles in a triangle is 180, so

90+60+15x=180

150+15x=180

15x=30

x=2

5 0
2 years ago
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