There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer sequences for the six questions.

Step-by-step explanation:

Given

each

Required

Determine the number of possible answers

The first question has 4 possible answers

The second has 4 possible answers

The third has 4 possible answers

The fourth question has 4 possible answers

The fifth has 4 possible answers

The sixth question has 4 possible answers

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.