Answer:
1. ∠1 = 120°
2. ∠2 = 60°
3. ∠3 = 60°
4. ∠4 = 60°
5. ∠5 = 75°
6. ∠6 = 45°
Step-by-step explanation:
From the diagram, we have;
1. ∠1 and the 120° angle are corresponding angles
Corresponding angles are equal, therefore;
∠1 = 120°
2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;
∠2 + 120° = 180°
∠2 = 180° - 120° = 60°
∠2 = 60°
3. Angle ∠3 and ∠2 are vertically opposite angles
Vertically opposite angles are equal, therefore, we get;
∠3 = ∠2 = 60°
∠3 = 60°
4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;
∠1 + ∠4 = 180°
∠4 = 180° - ∠1
We have, ∠1 = 120°
∴ ∠4 = 180° - 120° = 60°
∠4 = 60°
5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6
Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;
x = y
The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles
∴ x + y + 90° = 180°
From x = y, we get;
y + y + 90° = 180°
2·y = 180° - 90° = 90°
y = 90°/2 = 45°
y = 45°
Therefore, we have;
∠4 + ∠5 + y = 180° (Angle sum property of a triangle)
∴ ∠5 = 180 - ∠4 - y
∠5 = 180° - 60° - 45° = 75°
∠5 = 75°
6. ∠6 and y are alternate angles, therefore;
∠6 = y = 45°
∠6 = 45°.
Answer:
30
Step-by-step explanation:
1.Substitute the x for 12.
2.Multiply the 2 by 12.
3.Then add 6 to your answer.
there's relationship between the points upper left and points in d lower left
Step-by-step explanation:
points in upper right nd points in lower left
the smaller of A+B=a+b
yes
Answer:
Below.
Step-by-step explanation:
You can use any 4 x values, so we could have:
- 2 0 2 4
Now find the corresponding y values by substitution in the equation:
For x = -2, y = 1/2 *-2 + 2 = 1.
For x = 0, y = 1/2 * 0 + 2 = 2.
For x = 2 , y = 1/2* 2 + 2 = 3.
For x = 4 , y = 1/2 * 4 + 2 = 4.
So the table is:
-2 0 2 4
1 2 3 4
You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.
Answer:
The probability is 0.5 tiles will be green
Step-by-step explanation:
Hope this helps