Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

QUESTIONS BELOW
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Answer 1

Question 19 = 45.7

Question 20 = 9m,12m,15m

Question 21 = 0<d<105

Explanation:

Question 19 you do tan(x) = 8/7.8 you get 45.725

Question 20 you dilate the whole triangle by 3 and you get the answer the others you can' t dilate equally.

Question 21 using the pythagorean theorem a^2+b^2=c^2 c=105 ot -105 so the max must be 105 yards.

Hope these are right

Answer 2

Explanation:

For the 1st picture,

We are trying to find an angle measure in. a right triangle. In relation to x, we have a side opposite of it and a side adjacent to it.

So we will use the tangent relation.

`\tan(x) = (opp)/(adj) = (8)/(7.8)`

Now since we are solving for an angle, use the inverse tangent operation

`x = \tan {}^( - 1) ( (8)/(7.8) )`

UsiNg a calculator,

`x = 45.7`

So the second option is the best option.

For the 2nd picture

The Triangle Exterior States that the sum of the two smaller sides should be greater than the largest side.

However, the sides must also be proportional to the triangle with side length 3,4,5

So the correct answer is a.

For the 3rd picture,

assuming that d is the largest side than

`63 + 84 > d`

`147 > d`

Assuming 84 is the largest side,

`63 + d > 84`

`d > 21`

So d must lie between 21 and 147.

So the best option is the second option