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olchik [2.2K]
3 years ago
12

Which of the following is an exterior angle of triangle BHE? Select Yes or no for the following.

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0
< GHE - yes
< ABH-yes
<DEB-yes
<FED-no
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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

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Step-by-step explanation:

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Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.
IRINA_888 [86]
Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
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So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
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2 years ago
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