Chris and Eric are competing on a game show. Together they answer 22 questions correctly. Chris’ score was 8 less than twice Eric’s score. How many did each of the guys answer correctly?

eric = 15

chris 7

Step-by-step explanation:

Let the questions Chris answered correctly be represented by c

Let the questions Eric answered correctly be represented by e

They both got 22 questions right. This can be represented by this equation :

c + e = 22 --- eqn 1

Chris scored 8 less than Eric. This can be represented by this equation :

c = e - 8 --- eqn 2

Substitute for c in eqn 1  

e - 8 + e = 22 .

collect like terms

2e = 30

solve for e

e = 15

Substitute for e in eqn 2

c = 15 - 8 = 7

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.

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^