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4 years ago

If m∠A = (3x-6)° and m∠B = (x + 9)°, find the m∠D.

Mathematics

1 answer:

jeyben [28]4 years ago

7 0

Because line BD goes through the center of the circle Angle A is a right angle which equals 90 degrees.

Set the equation for A to equal 90 and solve for x:

3x-6 = 90

Add 6 to each side:

3x = 96

Divide both sides by 3:

x = 32

Now we have a value for x , use that to solve for angle b:

B = x +9 = 32 + 9 = 41 degrees.

Now we know A and B, we can solve for D.

The three inside angles of a triangle need to equal 180.

D = 180 - 90 - 41 = 49 degrees.

The answer is D) 49

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Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. X= 2.5 when y=

puteri [66]

Answer:constant of variation(k) is, 250.

Step-by-step explanation:

The inverse variation says that:

then, the equation is in the form of :

....[1] where, k is the constant of variation

As per the statement:

Suppose that y varies inversely with x.

then,

by definition of inverse variation we have;

When x = 2.5 and y = 100 then

Substitute these in [1] we have;

Multiply 2.5 both sides we have;

k = 250

⇒

Therefore, the constant of variation is, 250 and the equation we get

Read more on Brainly.com - brainly.com/question/5991656#readmore

Step-by-step explanation:

4 0

3 years ago

What is 82.2% of 50?

umka21 [38]

The answer to 82.2% of 50 is 41.1

7 0

4 years ago

Read 2 more answers

Rewrite in simplest radical form square root of x times the fourth root of x. Show each step of your process.

Ipatiy [6.2K]

Answer:

$\sqrt[4] {x^3}$

Step-by-step explanation:

At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:

$\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}$

Alternatively, if you're allowed to use rational exponents, we can convert everything:

$\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}$

5 0

2 years ago

What is the inverse of the function??

Firlakuza [10]

$$\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}$
$

To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function $f^{-1}(x)$ .

-------------------------

Apply that on your function
$$\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}$
$

5 0

3 years ago

Which equation represents a linear function? Equation 1: y = 2x + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x5 − 1 Equation 4:

Andreyy89

Equation 1 represents a linear function.

6 0

3 years ago

Read 2 more answers