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2 years ago

Which expression is w\equivalent to ??? HELP PLEASE A B C D

Mathematics

1 answer:

Dmitrij [34]2 years ago

4 0

Pretty sure the answer is C - if not that then A

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

Leg rule of geometric mean theorem:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

2 years ago

What is the value of x? Enter your answer, as a decimal, in the box.

Katarina [22]

Answer:

$x=50.6cm$

Step-by-step explanation:

Triangle MAB is similar to triangle MNP

Since the triangles are similar, the corresponding ratios are in the same proportion.

Therefore we can write the relation;

$\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}$

$\frac{x}{72.6}=\frac{46.2-14}{46.2}$

This implies that;

$\frac{x}{72.6}=\frac{32.2}{46.2}$

We multiply both sides by 72.6 to get

$\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6$

$\Rightarrow x=50.6$

Hence the value of $x$ is 50.6 cm

8 0

2 years ago

Read 2 more answers

HELP PLEASE COME FAST

Triss [41]

1st one: since we are dealing with the same unit, months and aid cannot mix so this is wrong

2nd one: doesn't include the 2.59 so this is wrong

3rd one: includes both 70% and 2.59 so this is correct

4th one: this doesn't include a greater than sign > so this is wrong

the answer is the 3rd one

5 0

2 years ago

Which expression is equivalent to 0? (a)(-a) a +(-a) a/-a a - (-a)

cupoosta [38]

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

6 0

2 years ago

Read 2 more answers

Is 128 a square number

Kruka [31]

No because the square root of 128 is 11.3 which it not a whole number or in other words doesnt come out evenly

4 0

2 years ago