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Elanso [62]
3 years ago
5

If triangle abc is similar to triangle def with ab=9, bc=11, and ac=16, then which of the following is closest to the ratio of d

e to df?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

\frac{de}{df}=\frac{9}{16}  or \frac{de}{df}=0.5625

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

In this problem

Triangle abc is similar to Triangle def

therefore

\frac{de}{df}=\frac{ab}{ac}

substitute the given values

\frac{de}{df}=\frac{9}{16}

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Answer:

2.3  2.389 2.39 2.4 2.41

Step-by-step explanation:

2.3<2.389 (2,39)<2.39<2.4<2.41

5 0
4 years ago
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A food manufacturer stores corn oil in a right circular cylindrical container. This container has a height of 12 inches, and a b
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3 years ago
Solve this equation by completing the square: x2 + 4x – 13 = –8
marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

  • The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x  = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²)  = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

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The solution of the equation is x = 1 or x = -5

6 0
3 years ago
The product of two consecutive even numbers is 224. What are these two numbers?
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Answer:

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x ²+  2x-224=0

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x=-16 or 14

In this case 14 and (14+2)    14 and 16

 

 

The  integers are either 14 and 16 or -14 and -16.

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