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Anuta_ua [19.1K]
3 years ago
6

Help one who explains better will get brainliest

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
4 0
1) First way:
The sides that are legs of the trapezoid is parallel, angles 110⁰ and x are opposite interior angles that are congruent. So x=110⁰

2) Second way
Sum of all angles are 360⁰,
So (90+90+110+y)=360
180+110+y=360 (y is the 4th angle in trapezoid)
290+y=360
y=360-290=70
x+y=180
x+70=180
x=110⁰


Savatey [412]3 years ago
3 0
First, you have to find out the missing angle of the quadrilateral. We know that there are two right angles, one angle measuring 110° degrees, and that all the angles must add up to 360°.
We can use the equation
90+90+110+x=360
290+x=360
x=70
Now that we found the missing angle, we have the find the value of x. 
We know that since it is a straight line, the two angels must add up to 180°
We can use the equation
70+x=180
x=110
Therefore the value of x is 110°
 
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Answer:

Part 1) The algebraic expression is equal to 1.10(n-1)  or 1.10n-1.10

Part 2) The algebraic expression is equal to \frac{1.10}{n}

Step-by-step explanation:

Part 1) we have (n-1) increased by 110%

110%=110/100=1.10

so

The algebraic expression of (n-1) increased by 110% is equal to multiply 1.10 by (n-1)

1.10(n-1)

Distributed

1.10n-1.10

Part 2) we have n^(-1) increased by 110%

110%=110/100=1.10

so

The algebraic expression of n^(-1) increased by 110% is equal to multiply 1.10 by n^(-1)

Remember that

n^{-1}=\frac{1}{n}

so

1.10(n^{-1})=1.10\frac{1}{n}=\frac{1.10}{n}

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Answers are below

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