Answer:
1) not a function
2) Function
3) Function
Step-by-step explanation:
Here is the inequality you can enumerate:
5x >= 200, this means the money you sold for cakes must be larger or equal to your goal
x <= 100, this means you cannot sell more than 100 cakes, because you only have 100 cakes
Solve for them, you will get: 40 <= x <= 100
25-5.25 gives you the amount of money Craig can spend for games. 25-5.25=19.75. If Craig can spend 19.75, he can play only 4 whole games.
Answer:
Option (D)
Step-by-step explanation:
Pythagoras theorem states,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(13)² = (5)² + (12)²
By the converse of Pythagoras theorem,
If we draw two sides 5cm and 12cm of a triangles with a right angle between them, third side 13 cm will fit to form a right triangle.
Therefore, Option (D) will be the answer.
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.