Answer:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)

where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
To find m∠C, substitute the given values into the formula and solve for C:




Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
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Answer: The equivalent expression for is
Step-by-step explanation:
The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.
To get equivalent expression we factor the expression 4d-4
Greatest common factor is 4
Factor out 4 from the expression 4d-4
when we factor out 4, we divide each term by 4
The equivalent expression for is
Step-by-step explanation:
The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points
and 
is 
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴
= -5 and
= 3
∴
= 2 and
= 5
- Substitute these values in the rule of the distance
∵ 
∴ 
∴ 
∴ 
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
Learn more:
You can learn more about the distance between two points in brainly.com/question/6564657
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