Atreasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5: 9 ratio. marina traced the map onto a coordinate plane to find the exact location of the treasure.

what are the coordinates of the treasure? if necessary, round the coordinates to the nearest tenth.

(11.4, 14.2)
(7.6, 8.8)
(5.7, 7.5)
(10.2, 12.6)

The coordinates of Treasure round to the nearest tenth is:

(7.6,8.8)

Step-by-step explanation:

We are given the coordinates of rock as: (3,2)

and Tree as: (16,21)

Now as Treasure divides the line segment between rock and tree in the ratio 5:9.

As we know if any point C(e,f) divides the line segment A(a,b) and B(c,d) in the ratio m:n then the coordinates of point C is calculated as:

and

Here we have (a,b)=(3,2)

(c,d)=(16,21)

and m:n=5:9.

Let the coordinates of Treasure are (e,f).

and

Hence, the coordinates of Treasure are:

(7.6,8.8).

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -

-8

step-by-step explanation: