Find the ratio in which the point (3,y) divides the line joining the point (9,8) and (-4,-6) hence find the value of y ​

m1:m2 = 6:7

y = 7 (Approx.)

Step-by-step explanation:

Given:

Dividing point (3, y)

Two points (9 , 8) , (-4 , 6)

Find:

Ratio

Value of y

Computation:

X = [(m1)(x2) + (m2)(x1)] / [m1 + m2]

3 = [(m1)(-4) + (m2)(9)] / [m1 + m2]

3m1 + 3m2 = -4m1 + 9m2

7m1 = 6m2

m1 / m2 = 6 / 7

m1:m2 = 6:7

Y = [(m1)(y2) + (m2)(y1)] / [m1 + m2]

y = [(6)(6) + (7)(8)] / [6 + 7]

y = [36 + 56] / 13

y = 92 / 13

y = 7.07

y = 7 (Approx.)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: