A spot light illuminates a circular spot on a stage and can be represented by the equation (x – 13)² + (y – 4)2 = 16. Joel is standing at (11,4) and
Amerra is at (8,5). Are they both in the spotlight?
Joel is the only one in the spotlight
Amerra is the only one in the spotlight
Both are in the spotlight
Neither are in the spotlight
Activate

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

13.46

step-by-step explanation:

16.80 x .20 = 13.46