Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
Claim: The difference between two rational numbers always is a rational number
Proof: You have a/b - c/d with a,b,c,d being integers and b,d not equal to 0.
Then:
a/b - c/d ----> ad/bd - bc/bd -----> (ad - bc)/bd
Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0 since b and d were not equal to 0. Thus a/b - c/d is a rational number.
Answer:
68,63
Step-by-step explanation:
no seeeeeeeeeeeeeee
Step-by-step explanation:
lol
<u>The sum</u> of <u>the measures</u> of all <u>interior angles</u> in a <u>quadrilateral</u> is always equal to 360°.
If m∠R = (2x)°, m∠S = (3x – 35)° and m∠T = (x + 35)°, then the measure of the angle U is
m∠U=360°-(2x)°-(3x-35)°-(x+35)°=360°-(2x)°-(3x)°+35°-x°-35°=360°-(6x)°.
If quadrilateral RSTU is parallelogram, then
- m∠R=m∠T;
- m∠S=m∠U;
- m∠R+m∠S=m∠S+m∠T=180°.
Check this conditions: 2x=x+35 ⇒ x=35°.
If x=35°, then
- m∠R=(2·35)°=70°;
- m∠S=(3·35-35)°=70°;
- m∠T=(35+35)°=70°;
- m∠U=360°-(6·35)°=150°.
You get quadrilateral RSTU that cannot be parallelogram, because 70°+70°≠180°.
Answer: strictly correct choice is D (also choice C is correct)