You have 3 multiple choice questions left on a test. Each question has 4 options (A, B, C, D). In how many ways could you answer the last 3 questions on your test?

45 from 3 questions

3 x 15 = 45 answers

Shown below for one question then all you need to do is multiply them all by 3 as in (15 x 3)

A

B

C

D

AB

AC

AD

BC

BD

CD

ABC

ACD

ABD

BCD

ABCD

This gives a probability that some one who dont know how many to answer in one question gets 1/45 probability they will get the right answer.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180