in triangle DEF, DE=EF and G is the midpoint of EF. if the measure of GDE=10 what is the measure of E?
Answers
Note: It seems you may have forgotten to attach the diagram. Hence, I am attaching the potential diagram of your question.
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
m∠GDE = 10°
DE = EF
G = midpoint of EF
To Determine
m∠E =?
Solving
As DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.So, the right angle G is m∠DGE = 90°
as
m∠GDE = 10° m∠DGE = 90° m∠E = ?We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
m∠E = 180° - 10 - 90
m∠E = 80°
Therefore, we conclude that the measure of angle E is:
m∠E = 80°
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Step-by-step explanation:
[tex]By \ applying \ the \ rule \ of \ BODMAS \ (i.e. \ Bracket, \ of, \ Division,\ Multiplication, \ Addition,[/tex][tex]\ and \ Subtraction).[/tex]
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classify which numbers are rational or irrational
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√100
7.3
0.00247
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0.01 with the line above the 1
Answers
Answer:
5/4 = rational √100 = rational 7.3 =rational 0.00247 = rational √4/9 = irrational √2/24 = irrational 0.01 (with the line) = irrational
Step-by-step explanation:
an irrational number is an infinitely repeating number that can not be written as a fraction, instead it must be written as a decimal. A rational number is a number that can be made by dividing two integers (an integer is a number with no fractional part).
The numbers are,
a. 5/4 = Rational
b. √100 = Rational
c. 7.3 = Rational
d. 0.00247 = Rational
e. √4/9 = Irrational
f. √2/24 = Irrational
g. 0.01 (with the line above the 1) = Irrational
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers are,
5/4, √100 , 7.3 , 0.00247, √4/9 , √2/24 , 0.01 with the line above the 1.
Now,
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5/4 = 1.25
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√100 = 10
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7.3 = 7.3
So, The number is a Rational number.
0.00247 = 247/100000
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√4/9 = 2/3 = 0.666.......
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√2/24
So, The number is a Irrational number.
0.01 with the line above the 1
So, The number is a Irrational number.
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a. 5/4 = Rational
b. √100 = Rational
c. 7.3 = Rational
d. 0.00247 = Rational
e. √4/9 = Rational
f. √2/24 = Irrational
g. 0.01 (with the line above the 1) = Irrational
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Answers
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