What value of w makes the equation 3(-4W - 5) = -7(5 + w) true?
1 answer:
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Answer:
The correct option is;
ASA
Step-by-step explanation:
The given information are;
1. ∠A ≅ ∠D, 1. Given
2. , 2. Given
3. , 3. refl. prop.
4. ∠ABC ≅ ∠ DCB, 4. Alt int. ∠s are ≅
5. ΔABC ≅ ΔDCB, 5. Angle Side Angle ASA rule of congruency
The conditions for two triangles to be congruent includes;
1. All sides equal or SSS rule
2. Side Angle Side or SAS rule
3. Angle Side Angle or ASA rule
4. Angle Angle Side or AAS rule
5. Right angle Hypotenuse Side or RHS also known as Hypotenuse Leg, HL rule
So.... notice the picture below
we know when y = 140 and x = 240, r = 250
so let's use the pythagorean theorem
now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,
so, the controller has that much, less than 1/2 hr
we know when y = 140 and x = 240, r = 250
so let's use the pythagorean theorem
now... how much time does the controller have? well, say, plane "y" is going at dy/dt of 140mph, and is 70 miles away, 140 is 2*70, so it can cover those 70 miles in 1/2 hr, and when it does, it'll collide with the other,
so, the controller has that much, less than 1/2 hr