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2 years ago

All acute triangles are similar. a. True b. False

2 answers:

8 0

Kind of true and kind of false : Sometimes they are, but there is nothing that force two acture triangles to be similar, even if they have the same measurement of the acute angle.

For that you would need to have 3 angles the same.

For example, if the angles were 40-60-80, you have an acute triangle. But if you had a 45-55-80 triangle, that is also acute, but not similar even though it shares an angle of 80 degrees.

Ksju [112]2 years ago

8 0

Answer:

The answer is False.

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Find slope of line (1,2) and (2,5) <br> Write equation and final answer

sdas [7]

Equation: y = 3x
Final Answer: 3

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3 years ago

A negative number divided by a positive number is:

Verdich [7]

Answer:

When you divide a negative number by a positive number then the quotient is negative.

Step-by-step explanation:

hope this helped

7 0

2 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

What is the value of x for the regular polygon shown below?<br> 2x + 4<br> 36

Elden [556K]

Im not sure what your asking add more please

3 0

2 years ago

The measure of an angle is 6° less than the measure of its complement.

kogti [31]

It’s 3 less then measure of its complement 6°

7 0

3 years ago