The measure of an inscribed circle of an angle is the measure of the intercepted arc

Answers

Answer 1

Answer:

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

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Solve: x^2 – 16x + 63 < 0

Answers

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were $288, how much was each investment?

Answers

ANSWER:

$ 800 was invested in the account at 3%

$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

$\begin{gathered} x+y=6000\rightarrow y=6000-x\text{ (1)} \n -0.03x+0.06y=288\text{ (2)} \end{gathered}$

We replace equation (1) in (2) and solve for x:

$\begin{gathered} -0.03x+0.06\cdot(6000-x)=288 \n -0.03x+360-0.06x=288 \n -0.09x=288-360 \n x=(-72)/(-0.09) \n x=800 \n \text{ Now, for y replacing in (1)} \n y=6000-800=5200 \end{gathered}$

Therefore, $ 800 was invested in the account the lost value, and $ 5200 was invested in the account that gained value.

Someone hurry and help plsss

Answers

Answer:

-3 is the answer for the question

Select all the correct answers.Which expressions are equivalent to the given expression.
y^-8y^3x^0x^-2

Answers

Answer:

$x^(-2)y^(-5)$

Step-by-step explanation:

The options are not given; however, the question can still be solved

Given

$y^(-8)y^3x^0x^-2$

Required

Simplify

Start by rewriting the expression

$y^(-8) * y^3 * x^0 * x^(-2)$

Apply the following laws of indices: $a^x * a^y = a^(x+y)$

This gives:

$y^(-8+3) * x^(0-2)$

Evaluate the exponents

$y^(-5) * x^(-2)$

$x^(-2)y^(-5)$

Hence, $x^(-2)y^(-5)$ is equivalent to $y^(-8)y^3x^0x^-2$

The expression which is equivalent to the exponential equation is $x^(-2)y^(-5)$ .

Given data:

The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

The exponential expression is represented as $y^(-8)y^(3)x^(0)x^(-2)$ .

From the laws of exponents:

$m^(a)*m^(b)= m^(a+b)$

$(m^(a))/(m^(b))= m^(a-b)$

So, the expression is simplified as:

$y^(-8)y^(3)x^(0)x^(-2)=x^(-2)y^(-5)$

Hence, the equivalent expression is $x^(-2)y^(-5)$ .

To learn more about exponents, refer:

brainly.com/question/28966438

#SPJ3

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars

Answers

Answer:

35 dollars (0.08)

Step-by-step explanation:

35 + 8%, taxes are most likely in cents

Answer:

35 dollars (0.08)

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?

A.35 dollars (0.08)

B.35 dollars (8)

C.35 dollars (0.08) + 35 dollars

D.35 dollars (8) + 35 dollars

because i just took the test and i got 94.3 and this question is right.

Hopefully this helps.

Y = 1.10x + 5.00
y = 1.50x + 3.00
(substitution)

Answers

Answer:

x=5 and y=10.5

Step-by-step explanation:

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