Which of the following is a pair of vertical angles ?

Answer

∠AOB and ∠DOC are a pair of vertical angle

Step-by-step explanation

Given in the figure we have to choose the angle which are vertically opposite to each other.

The vertically opposite angles are the angles vertically opposite when two line cross each other.

Option A

∠AOB and∠DOC are vertically opposites to each other so they are a pair of vertical angle

Option B

∠AOB and∠EOA  are not vertically opposite to each other so they are not a  pair of vertical angle.

Option C

∠DOC and ∠EOB are not vertically opposite to each other so they are also not a pair of vertical angles .

Option D

∠EOB and∠EOA are also not vertically opposite to each other so they are also not  a pair of vertical angle

Therefore, ∠AOB and ∠DOC are a pair of vertical angles

add 5 subtract 1

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.