AE←→ is a straight line in the diagram. What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?

What is the measure of each angle?

Explain how an equation can be written to find m∠CBD.

∠ABC= 40°  ∠CBD=60°  ∠EBD=80°

Step-by-step explanation:

Step 1: 2x+3x+4x=180

          A straight line is 180 degree's, and to get the value of the different angles, you have to add the three angle measures.

Step 2: 9x=180

            Combine like terms

Step 3: x=20

            Divide/ Isolate the variable

Step 4: 2(20)=40   3(20)=60    4(20)=80

           Plug the answer back in

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: