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Natali [406]
3 years ago
14

if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degre

e​
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

Answer:

45 degrees.

Step-by-step explanation:

The exterior angle = sum of the 2 opposite interior angles.

2x =  x + 45

2x - x = 45

x = 45.

viktelen [127]3 years ago
3 0

Answer:

x = 45 degrees

Step-by-step explanation:

<u><em>The measure of exterior angles is equal to the sum of non-adjacent interior angles</em></u>

=> 2x = x+45

=> 2x-x = 45

=> x = 45 degrees

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Find the area of the parallelogram 300 in^230 in^260 in^250 in^2
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Given

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Explanation:

It is given that,

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#9 and #10<br> Please show work
Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

y=2x+3 ----> equation A

x=y-8 ----> equation B

Solve by substitution

Substitute equation A in equation B

x=(2x+3)-8

solve for x

x=2x-5

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Find the value of y

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therefore

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Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

x=5y-1 ----> equation A

Remember that

1\ ft=12\ in

To convert inches to feet divide by 12

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x+y=5 ----> equation B

Solve the system by substitution

substitute equation A in equation B

(5y-1)+y=5

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6y=6

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therefore

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3 years ago
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