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Andrews [41]
3 years ago
14

On a number​ line, suppose point E has a coordinate of −2​, and EG=7. What are the possible coordinates of point​ G? The possibl

e coordinates for G are
Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

-9 ; 5

Step-by-step explanation:

Given that:

Coordinate of Point E = - 2

EG = 7

Possible coordinate of G

On the number line, G may be located on either side of E

If G is to the left of E; the coordinate if G is expressed as : (E - EG) = (-2 - 7) = - 9

If G is to the right of E; the coordinate if G is expressed as : (E + EG) = (-2 + 7) = 5

Hence, the possible coordinates of G are :

-9 and 5

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erik [133]

Answer:

Line DG is equal to 16

Step-by-step explanation:

We know that

In a parallelogram, opposite sides are congruent.

Line DG is congruent to line FE, so they must have sides of equal length.

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3 years ago
Which dimensions cannot create a triangle?
podryga [215]

Answer:

three angles measuring 109º, 25º, and 145º cannot create a triangle

three angles measuring 40º, 70º, and 65º cannot create a triangle

Step-by-step explanation:

<u><em>Verify each dimensions</em></u>

Part 1) three angles measuring 109º, 25º, and 145º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

109^o+25^o+145^o=279^o

279^o> 180^o

therefore

three angles measuring 109º, 25º, and 145º cannot create a triangle

Part 2) three sides measuring 9 m, 15 m, and 9 m

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 9+15 > 9 ---> is ok

2) 9+9 > 15 ---> is ok

therefore

three sides measuring 9 m, 15 m, and 9 m can create a triangle

Part 3) three angles measuring 40º, 70º, and 65º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

40^o+70^o+65^o=175^o

175^o< 180^o

therefore

three angles measuring 40º, 70º, and 65º cannot create a triangle

Part 4) three sides measuring 6 cm, 8 cm, and 10 cm

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is ok

2) 8+10 > 6 ---> is ok

3) 6+10 > 8 ---> is ok

therefore

three sides measuring 6 cm, 8 cm, and 10 cm can create a triangle

4 0
3 years ago
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