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:
$37.00
Step-by-step explanation:
Tickets:
4 friends, each ticket costs $8
4*8=32
$32
Sodas:
4 friends, each soda costs $3.75
4*3.75=15
$15
Total:
tickets + sodas
32+15=47
$47
Coupons:
2 friends each had a coupon for $5 off
2*5=10
$10 discount
Grand Total:
total-discount
47-10=37
$37.00
Answer:
Step-by-step explanation:
y=mx+b
y= -2x + 3
hope this helped :)
-12/3<span>•(-8(-4)^2-6)+2 Original Equation
-12/3</span><span>•(-8+16-6)+2 Simplify the (-4)^2
-12/3</span><span>•(2)+2 Simplify everything inside the equation
-8+2 Using PEMDAS, you multiply -12/3</span><span>•(2)
-6 You add from there</span>
A bell curve describes a random distribution where at either end is a low amount with the middle representing a higher amount of points.
So at either ends are “extremes” were someone scored really low or really high. The middle presents the average where most people will score