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valentina_108 [34]
2 years ago
8

Find the value of x that makes the two triangles equal

Mathematics
1 answer:
Leona [35]2 years ago
8 0

Answer:

5

Step-by-step explanation:

\triangle CDE \sim\triangle FGH...(given)

\therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)

\therefore \frac{4x}{28}=\frac{25}{35}

\therefore \frac{x}{7}=\frac{5}{7}

\therefore x=\frac{7\times 5}{7}

\therefore x=5

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Please help me I dont want to fail...again this is my last hope. plz help:(
Rudiy27
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8 0
3 years ago
Read 2 more answers
A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
A piece of bad news about your hotel goes viral. If each person, spreads the news to 5 people within 1 minute, how long will it
Lady_Fox [76]

A 20,000,000


Hope my answer helped


5 0
3 years ago
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You can pay $10 for 2 movie tickets assuming the same rate , how much would you pay for 5 movie tickets ?
11Alexandr11 [23.1K]

Answer:

If we assume every 2 movie tickets is $10 then every one ticket would be $5. Assuming this to be true then 5 tickets is $25.

StepByStep Explanation:

movie tickets = t

2t=10

t=5

5t=?

5(5)=?

25=?

?=25


8 0
3 years ago
What is the surface area of this cylinder?
Tpy6a [65]

Answer:

615.44 would be the answer

5 0
3 years ago
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