Triangle WHA and WCT are similar, so corresponding parts are similar to one another. In particular,
WH / WC = WA / WT = HA / CT
which means
WH / WC = WA / WT
2 / (2 + (x - 1)) = 3 / (3 + (x + 1))
Solve for x :
2 / (1 + x) = 3 / (4 + x)
2 (4 + x) = 3 (1 + x)
8 + 2x = 3 + 3x
5 = x
and also
WH / WC = HA / CT
2 / (1 + x) = y / 12
2 / (1 + 5) = y / 12
2 / 6 = y / 12
y = 4
Answer:
C is the answer
Step-by-step explanation:
Hope this helps
Have a good day
This question is asking you for the least common multiple of 60 (seconds in 1 minute) and 24 (seconds in 24 seconds).
I think it's 120 (you should check it) and that would be 3 minutes.
None of the answers make sense…
2(x+5)+2(y-12)
2x+10+2y-24 based on this 2x+2y-14 unless there was a mistake? You can comment and I will fix!
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.