Answer:
278308 ÷ 29
Step-by-step explanation:
9596.828 is your answer
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
Answer:
∴At the beginning of the game Sparrow had = (70+12)=82 coins
Step-by-step explanation:
Given , three pirates named Ahab, Sparrow and Davy play a game.
Let at the end of the game Ahab, Sparrow and Davy have 4x, 5x,and 6x coins respectively.
Total number of coins= 4x+5x+6x=15x
Again given that the pirates have a total of 210 coins.
According to the problem,
15x =210
⇔x = 14
Therefore, Ahab, Sparrow and Davy have(4×14)=56,(5×14)=70 and (6×14)=84 respectively.
Since,Ahab has won 5 coins and Davy has won 7 coins.This(7+5)=12 coins was belonged to Sparrow.
∴At the beginning of the game Sparrow had = (70+12)=82 coins
9514 1404 393
Answer:
- SAS
- not
- SSS
- AAS
Step-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.