Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 50 miles per hour. At what rate, in miles per hour, is the distance between the two cars decreasing when Car A is 0.375 miles from the intersection and Car B is 0.5 miles from the intersection? a. 35 mph
b. 46 mph
c. 52 mph
d. 70 mph

Option C - 52 mph

Step-by-step explanation:

I've attached an image to depict the diagram of movement of both cars.

dy/dt = 50 mph

dx/dt = 20 mph

From the attached image, using pythagoras theorem, we have;

x² + y² = s²

Differentiating with respect to to using implicit differentiation with power rule, we have;

2x(dx/dt) + 2y(dy/dt) = 2s(ds/dt)  - - (eq1)

Now, let's find s by pythagoras theorem.

s² = 0.375² + 0.5²

s² = 0.390625

s = √0.390625

s = 0.625

Plugging in all the relevant values into eq 1,we have;

2×0.375(20) + 2×0.5(50) = 2×0.625(ds/dt)

15 + 50 = 1.25(ds/dt)

65 = 1.25(ds/dt)

ds/dt = 65/1.25

ds/dt = 52 mph

52 mph i took the edge test 2021

Step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

the correct answer is 5 6 and 7