Two points that are on the graph of a line relating kilograms to pounds are (0,0) and (4, 8.8), where the value of x is the weight in kilograms and the value of y is the approximate weight in pounds.

According to the points graphed, which must be true?
A. The weight in pounds is always 2.2 times the weight in kilograms.
B. The weight in kilogtams is always 2.2 times the weight in pounds.
C. The weight in pounds is always 8.8 times the weight in kilograms.
D. The weight in kilograms is always 8.8 times the weight in pounds.

A.The weight in pounds is always 2.2 times the weight in kilograms

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have a proportional relationship (the line passes through the origin)

Let

x ----> the weight in kilograms

y ---> is the approximate weight in pounds.

Find the value of the constant of proportionality k

For (4,8.8)

The equation is equal to

Verify each statement

A.The weight in pounds is always 2.2 times the weight in kilograms

The statement is true

Because

---> see the explanation

B.The weight in kilograms is always 2.2 times the weight in pounds

The statement is false

Because

The weight in kilograms is always the weight in pounds divided by 2.2

C.The weight in pounds is always 8.8 times the weight in kilograms

The statement is false

Because

The weight in kilograms is always 2.2 times the weight in pounds

D.The weight in kilograms is always 8.8 times the weight in pounds

The statement is false

Because

The weight in kilograms is always the weight in pounds divided by 2.2

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.