*see attachment for the missing figure
Answer:
Angle ADE = 45°
Angle DAE = 30°
Angle DEA = 105°
Step-by-step explanation:
Since lines AD and BC are parallel, therefore:
Given that angle Angle CBE = 45°,
Angle ADE = Angle CBE (alternate interior angles are congruent)
Angle ADE = 45° (Substitution)
Angle DAE = Angle ACB (Alternate Interior Angles are congruent)
Angle ACB = 180 - 150 (angles on a straight line theorem)
Angle ACB = 30°
Since angle DAE = angle ACB, therefore:
Angle DAE = 30°
Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)
Angle DEA = 180 - (45 + 30) (Substitution)
Angle DEA = 180 - 75
Angle DEA = 105°
Answer:
The slope is 70
The slope represents the speed of your car
Step-by-step explanation:
The slope is 70, y = mx + c, where m is the slope
The slope represents the speed of your car
speed = distance/time
speed x time = distance
As y represents the distance you travel, x is the time, slope is the speed, you get the distance travelled.
Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation = 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
× 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
= 2.78
R
Students who like action movies: 3/4 x 2/3 = 1/2 of the fifth grade class students
Students who like comedies: 1/2 x 4/5 = 2/5 of the fifth grade class students
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3 = 972π in³
r³ = 729 in³
r = 9 in
