Answer:
7, 10 and 15
Step-by-step explanation:
Given
--- Students already enrolled
Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:
Make x the subject
Substitute values for Total and S1
This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
Answer:
D. -10
Step-by-step explanation:
The sum of a triangle = 180°, therefore,
64° + 63° + x + 63 = 180°
Add like terms
x + 190° = 180°
Subtract 190 from each side
x + 190 - 190 = 180 - 190
x = -10
Answer:
Congruent
To be honest they are equal but in this question there is no option as equal so we can choose congruent
Answer:
<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>
Step-by-step explanation:
Start by stating that the given angles are congruent.
Call the angle vertical to angle 1 "angle 3."
Then angle 3 and angle 1 are congruent by vertical angles.
Angle 3 and angle 2 are congruent by transitive congruence of angles.
That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.
Answer
You can prove the following theorem:
<em>If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.</em>
