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2 years ago

Here are 2 right triangles.

Mathematics

1 answer:

Eva8 [605]2 years ago

8 0

Answer

Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x

Step-by-step explanation:

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How many times does 4 go into 74

Bogdan [553]

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4 goes into 74 18.5 times

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3 years ago

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stiv31 [10]

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3 years ago

If g(x)*x+1/x-2 abd h(x)=4-x, what is the value of (g*h) (-3)

kifflom [539]

Answer:

The value of (g*h) (-3) is $=-\frac{112}{3}$

Step-by-step explanation:

If $g(x) = x+\frac{1}{x}-2$ and $h(x)=4-x$

We have to find (g*h) (-3)

First multiply g(x) with f(x)

$(x+\frac{1}{x}-2)\times (4-x)$

$Distribute\:parentheses$

$=x\cdot \:4+x\left(-x\right)+\frac{1}{x}\cdot \:4+\frac{1}{x}\left(-x\right)+\left(-2\right)\cdot \:4+\left(-2\right)\left(-x\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab$

$=4x-xx+4\cdot \frac{1}{x}-\frac{1}{x}x-2\cdot \:4+2x$

simplify

$=-x^2+6x+\frac{4}{x}-9$

Now, put x= -3 in above expression

$=-(-3)^2+6(-3)+\frac{4}{-3}-9$

$=\left(-\frac{1}{3}-3-2\right)\left(4+3\right)$

$=\left(-\frac{16}{3}\right)\left(4+3\right)$

$=7\left(-\frac{16}{3}\right)$

$=-\frac{16}{3}\cdot \:7$

$=-\frac{112}{3}$

Therefore, the value of (g*h) (-3) is $-\frac{112}{3}$

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3 years ago