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Semenov [28]
3 years ago
5

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

Mathematics
1 answer:
kogti [31]3 years ago
7 0

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

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3 years ago
Which equation in point-slope form contains the point (4, –1) and has slope 3?
Andrew [12]

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

4 0
3 years ago
Solve for x.38(2x+16)−2=13 Enter your answer in the box.x =
lys-0071 [83]

Given:

\frac{3}{8}(2x+16)-2=13\frac{3}{8}(2x+16)=13+2\frac{3}{8}(2x+16)=15(2x+16)=15\times\frac{8}{3}(2x+16)=402x=40-162x=24x=\frac{24}{2}x=12

5 0
1 year ago
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enyata [817]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Line g is shown on the graph.
bogdanovich [222]

The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.

<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>

Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:

Slope = m = change in y / change in x

y-intercept = b (the value of y when x = 0).

The coordinates of the two points on line g is given as:

(-3, 2) = (x1, y1)

(0, 5) = (x2, y2).

Find the slope (m) of the line:

Slope (m) = (5 - 2)/(0 - (-3))

Slope (m) = 3/3

Slope (m) = 1.

Y-intercept (b) = 5

Substitute m = 1 and = 5 into y = mx + b:

y = x + 5

The equation of the line in slope-intercept form is: y = x + 5.

Learn more about the slope-intercept equation on:

brainly.com/question/1884491

#SPJ1

5 0
2 years ago
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