If the measure of bec is (2x+3) and x=30, which expression could represent the measure of aed?

Step One

Find <BEC

<BEC = 2x + 3 x = 30

<BEC = 2*30+3

<BEC = 60 + 3

<BEC = 63

Step Two

Find AED

<AED = <BEC Why? because the 2 angles are vertically opposite. Vertically opposite angles are equal.

Step Three

Now you have to find which given expression equals 63. Remember that the value of x has not changed. x = 30.

A is wrong 4x = 4*30 = 120. That is far too large.

B 3x - 27 looks good because the answer will end in a 3. 3*30 - 27 = 90 - 27 = 63. The answer is B.

C is wrong because 5x = 5*30 = 150. It's already too big.

D is wrong because 30 + 43 = 73. This is your second best answer, but it is still incorrect.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is