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2 years ago

ABC ≃DEF. Find the lengths of the given sides

Mathematics

1 answer:

GuDViN [60]2 years ago

5 0

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8

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Step-by-step explanation:

From your knowledge of multiplication tables, you know that ...

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3 years ago

I need someone to help me solve this

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = $\left[\begin{array}{ccc}4\\-7.5\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]$

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3 years ago

Read 2 more answers

Which of the following equations is equivalent to log(y)= 3.994 ?

Kisachek [45]

Answer:

The correct answer is option D: $y = 10^{3.994}$

Step-by-step explanation:

Given:

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

$y =log_b(x) => b^y =x$

For $x > 0, b >0, b \neq 1$

Also if no base b is indicated, the base of the logarithm is assumed to be 10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

$log_{10}(y)= 3.994$

Then

$y = 10^{3.994}$

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3 years ago