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3 years ago

Given that Triangle ABC ~ DEF, solve for x.

Mathematics

2 answers:

Finger [1]3 years ago

6 0

You have the answer it's 4 since the big one is 6 times bigger 4 times 6 = 24

attashe74 [19]3 years ago

5 0

ANSWER

Given that Δ ABC ~ ΔDEF

solve for x

To proof

as given in the question

ΔABC ~ ΔDEF

this means their sides are proportional to each other.

thus

$\frac{AB}{AC} = \frac{ED}{DF}$

As given

AB = 30unit

AC = 24unit

ED = 5unit

DF = x

put in the above

$x = \frac{5\times24}{30}$

solving

x = 4 unit

option (C) is correct

Hence proved

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Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

mina [271]

The result of the log function $log_a (m * n ^ 2)$ is 60

According to the law of logarithm if $log_ab=y$ then $b=a^y$

Given the following expressions

$log_am=10\\log_an=25$

This can be expressed as

$m =a^{10} \ and \ n = a^{25}$

Substitute the value of m and n into the expression $log_a (m * n ^ 2)$ to have:

$log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60$

This shows that the result of the log function $log_a (m * n ^ 2)$ is 60

Learn more here: brainly.com/question/12049968

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2 years ago

Find the y-intercept of the line below.

ANEK [815]

Y=mx+b, the b is your y-intercept so just rearrange your equation
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3 years ago

How many solutions does have 3x-6=3(x-2)<br>

Anarel [89]

Answer:

Infinite.

Step-by-step explanation:

$3x-6=3\left(x-2\right)$

Expand:

$3x-6=3x-6$

Add 6 to both sides:

$3x-6+6=3x-6+6$

$3x=3x$

Subtract 3x from both sides:

$3x-3x=3x-3x$

$0=0$

No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.

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3 years ago

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3 years ago

You are renting a surfboard for the day. The surfboard rental fee is $25 with an additional charge of $7 per hour. You have at m

o-na [289]

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6 0

2 years ago