[100 POINTS] What is the measure of the arc from A to B that does not pass through C?

(Fill in the blanks)

Answers

Answer 1

Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.

What is the Inscribed Angle Theorem?

Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).

m∠BAC = 40 degrees.

Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]

Corresponding arc BC = 80 degrees.

Arc AC through point B = 180 degrees [half circle]

Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

#SPJ1

Related Questions

A principal of $3900 is invested at 7.5% interest compounded annually how much will the investment be worth after 9 years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]

Consider triangle ABC. What is b?

Answers

b would equal 18.7
Explanation:

A rectangle is divided into exactly 20 congruent squares. Then these squares are lined up in a single row extending 36 inches (3 feet). What was the area of the rectangle?

Answers

The area of the rectangle is 64.8 square .inch

What is a Rectangle ?

A rectangle is a polygon with four sides , opposite sides are parallel and equal.

It is given that

A rectangle is divided into exactly 20 congruent squares

If they are lined up the Length is 36 inches

Therefore the length of each square or the side of the square = 36/20

= 1.8 inch

The area of the rectangle will be

20* Side of square * Side of square

=20*1.8*1.8

= 64.8 square inch

The area of the rectangle is 64.8 square .inch

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ1

Help my semester ends in 17 hours
i'm so confused this is all they put

Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real
world and mathematical problems in two and
three dimensions

Answers

Find the lengths of the sides. Determine how long a right triangle side lengths are.

According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

Step-by-step explanation:

height (y-axis) = constant × width (x-axis)

let's look at the point coordinates.

remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.

we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).

so, the constant in our equation is responsible for returning half of the x value back as the y value.

what constant factor turns a number in half ?

x × c = x/2

c = 1/2

and so, A is the right answer.

Find the value of x in the triangle shown below.
x=
58°
6
6
20%
5.8

Answers

Answer:

x = 61°

Step-by-step explanation:

since the triangle has 2 congruent sides then it is isosceles with the 2 base angle being congruent, both x°

the sum of the 3 angles in the triangle = 180° , then

x + x + 58° = 180°

2x + 58° = 180° ( subtract 58° from both sides )

2x = 122° ( divide both sides by 2 )

x = 61°

what’s the surface area Due by tomorrow!!!

Answers

Answer: The surface area = 2040.

Step-by-step explanation: Have a great day!

The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE = B. C. D.

Answers

Based on the properties of a kite, the statement that is true is: D. KPE = TPE.

What is a Kite?

A kite is a quadrilateral in which its diagonals intersect at right angles.

Also, the non-vertex angles of a kite are congruent, that is they have equal measure.

Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.

Therefore, the true statement is:

D. KPE = TPE

Learn more about the kite on:

https://brainly.com/question/23279609

#SPJ1

A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°

Answers

Think Major greater than 180°, Minor less than 180°. If arc equals 180° than it is a semi circle.

A.

What is the difference of a surface area and a volume

Answers

Surface area is all the area of all sides while volume is the amount of space (a substance) occupies in a solid.

For example:

A cube has a length,breadth and height of 5cm,find:

a) surface area of the cube;

b) and the volume of the cube.

a) area of one side of the cube = 5 x 5

= 25cm²

Total surface area = 25cm x 6 (a cube has 6 sides)

= 150cm²

b) volume of cube = length x breadth x height

= 5 x 5 x 5

= 125cm³

Hope this helps you :]

p.s. can you mark me as the brainliest? <3

HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a. 5abc - 2a² + 6abc = 11abc - 2a²