You have an allowance of $12.00. you buy a discount movies ticket that costs at least $3.50 and popcorn that costs $2.75. how much do much do you have for other spending?

Given

You have an allowance of $12.00

discount movies ticket that costs at least $3.50

popcorn that costs $2.75.

Find out the  how much do much do you have for other spending.

To proof

Let us assume that the money for the other spending be x.

As given

total  allowance = $12.00

discount movies ticket that costs at least  = $3.50

popcorn costs =  $2.75

than the inequality written in the form

3.50 + 2.75 + x  ≤  12.00

6.25 + x ≤ 12.00

x ≤  5.75

you have money for other spending is atmost 5.75

when the movies ticket that costs at least $3.50

Hence proved

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.

step-by-step explanation:

x-intercept:

(

−

1

+

√

7

,

0

)

,

(

−

1

−

√

7

,

0

)

y-intercept:

(

0

,

−

6

)