The measure of all the angles for a triangle is 180°. To find the other two angles, you must subtract 90 from 180 and you get 90° then you divide 90° by 2 and you get 45°.
You have two 45° angles and one 90° angle
Answer:
Total points scored by Dante is 110
Step-by-step explanation:
Dante scored 66 points in the first 12 games of his basketball season.
This means his scoring rate or average number of points per game is 66/12
= 5.5 points per basketball game.
With this current rate of 5.5 points per game maintained, if Dante plays a total number of 20 basketball games for the season, the total number of points which he would score for his team in the entire season would be assumed as x
To get x, we multiply the total number of basketball games played by the average number of points which Dante scores per game. It becomes
x = 20 × 5.5 = 110 points
Answer: x = 9/4, y = 7/6
║<span>2x + 3y = 8
</span>║<span>4x - 6y = 2
</span>║4x + 6y = 16
║4x - 6y = 2
Add both equations together:
8x = 18
x = 9/4
Sub x = 9/4 into 2x + 3y = 8
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6
Answer: x = 0, and y = -2
Step-by-step explanation:
-5x + y = -2 .........(1)
-3x + 6y = -12 ......(2)
From equation (1)
-5x +y = -2 .........(1)
y = 5x - 2 .............(3)
Now substitute for y in equation (2)
-3x + 6 (5x -2 ) = -12
Make use of 6 to open the bracket ,we now have
-3x + 30x - 12 = -12
= 27x - 12 = -12
Collect the like terms
27x = -12 + 12
27x = 0
Divide through by 27 to get the value of x
x = 0/27
x = 0
To determine y, substitute for x in equation (3)
y = 5x - 2
y = 5(0) - 2
y = 0 - 2
y = -2
Check : Substitute for x and y in equation (1)
-5x + y = -2
-5(0) + (-2) = -2
0 -2 = -2
0 - 2 = -2
Answer:
1/2
Step-by-step explanation:
