Answer: 11
Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11
2x^2 - 1= 1
2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11
Answer:
2.4 miles
Step-by-step explanation:
This is a simple ratio problem.
Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:
That is 12/5 miles or 2 2/5 miles
In decimal, that's 2.4 miles
Answer:
A, B, and D all only have one solution.
Step-by-step explanation:
Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
5. The reason you would need 5 cups is simple. For 48 cookies you need 3 cups of flour meaning that 48/3 is 16 cookies PER CUP. In order to find out how many cups is needed for 80 in simple. You found out that 1 cup of flour makes 16 cookies. Divide 80 by 16 (80/16) and you get 5. You would need 5 cups of flour.
