Triangle J L K. Side L K is 4 meters and K J is 3 meters. Angle L is 48 degrees and angle K is 90 degrees. Triangle M O N. Side M O is 1.5 meters, O N is 2 meters, and N M is 2.5 meters. Angle O is 90 degrees.

Use properties of similar triangles to answer the questions.

What is the measure of angle J?

Which side of △MNO corresponds to JK?

What is the ratio of the larger triangle to the smaller triangle?

Step-by-step explanation:

Triangles are similar if they have the same shape, but not necessarily the same size.

in this case we have

JK/MO = KL/ON = JL/MN

A) Use properties of similar triangles.

The measurement of angle J can be derived from triangle MNO.

Corresponding angle are congruent.

Angle J in triangle JKL correspond with angle M in triangle MNO.

Therefore:

Tangent M = opp/adj

tanM = 2/1.5

tanM = 1.3

M = tan-¹ 1.3

M = 52.43

J = M = 52.43°

B) MO in △MNO corresponds to JK in △JKL

C) JK/MO = KL/ON = JL/MN

find JL using Pythagoras theorem

JL² = KL² + JK²

JL² = 4²+3²

JL = √(16+8)

JL = 5

JK/MO = KL/ON = JL/MN

= 3/1.5 = 4/2 = 5/2.5 = 2/1

Therefore the ratio of larger triangle to small triangle is 2:1

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week