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2 years ago

ABCD ~ JKLM. Write a proportion containing BC and JM

Mathematics

2 answers:

love history [14]2 years ago

6 0

Answer:

$\frac{BC}{AD} = \frac{KL}{JM}$

Step-by-step explanation:

It is given that ABCD ~ JKLM.

When two polygons are in similar, their respective sides are in proportion as well.

We need to include BC and JM.

BC is similar to KL of the other figure, whereas JM is similar to AD as well.

Therefore,

$\frac{BC}{AD} = \frac{KL}{JM}$

Mashutka [201]2 years ago

3 0

Answer:

$\frac{BC}{KL}$ = $\frac{AD}{JM}$

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

$\frac{BC}{KL}$ = $\frac{AD}{JM}$

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JulsSmile [24]

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3 years ago

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Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

Greg swam 16 kilometers with the current.

Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= $(x-3)\ kmph$

Speed of swimming with current= $(x+3)\ kmph$

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, $Time= \frac{Distance}{Speed}$

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Multiplying both side by (x+3) and (x-3)

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Using distributive property of multiplication.

⇒ $4x+12= 16x-48$

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Dividing both side by 12

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7 0

4 years ago

Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form

mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

= x^2 + 10x + 25 - 18

= (x + 5)^ - 18

= (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

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3 years ago

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Answer:

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3 years ago

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irakobra [83]

Cube root of 30:

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3 years ago

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