Translate the algebraic expression below into a written expression.

Line ET is tangent to circle A and T, and the measure of arc TG is 46 degrees. What is the measure of Angle GET

kogti [31]

Answer:

$m\angle GET=67^o$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The measure of the external angle is the semi-difference of the arches it covers.

so

$m\angle GET=\frac{1}{2}[arc\ TN-arc\ TG]$

Remember that the diameter divide the circle into two equal parts

In this problem

TN is a diameter

we have

$arc\ TN=180^o$ ----> because is half the circle (TN is a diameter)

$arc\ TG=46^o$ ---> is given

substitute

$m\angle GET=\frac{1}{2}[180^o-46^o]=67^o$

7 0

3 years ago

What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

3 0

3 years ago

Which is equivalent to 1.04?

Elodia [21]

Answer:

104/100 is equivalent to 1.04

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In September, a website had 12,629 visitors. In October, the website had 24,290 more visitors than it did in September. The webs

Dvinal [7]

Answer:

the answer is 71,209 visitor

Step-by-step explanation:

12,629 + 24,290 + 24,290 = 71,209

7 0

3 years ago

A is center of one circle and C is the center of the other circle. Select all line segments that must have the same length as se

Dominik [7]

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

Segment BC.
Segment CD.

<h3>What is a circle?</h3>

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

<h3>The equation of a circle.</h3>

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center.

r represents the radius of a circle.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

Based on the circles shown in the diagram attached above, the line segments that must have the same length as segment AB are:

Segment BC.
Segment CD.

Read more on line segment here: brainly.com/question/18315903

#SPJ1

3 0

1 year ago