Answer:
1. The correct options are 2 and 4.
2. The measure of angle 6 is 60°.
Step-by-step explanation:
1.
It is given that a∥b , and c is not parallel to a or b. So, we can not establish any relationship among the angles on the line a,b and angles on the line c.
If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal.
Therefore correct options are 2 and 4.
2.
It is given that AB∥CD and m∠3=120°.
Statements Reasons
m∥nm∠1=120° Given
∠5≅∠1 Corresponding angles are equal
m∠5=m∠1 Angle Congruence Postulate
m∠5=120° Substitution Property of Equality
m∠6+m∠5=180° Supplementary angle property
m∠6+120°=180° Substitution Property of Equality
m∠6=60° Subtraction Property of Equality
Therefore the measure of angle 6 is 60°.
The answer is that y is -3 and x is 0
Answer:
Step-by-step explanation:
When solving for x, we want to get x all by itself on one side of the equals side. It doesn't matter which side.
In this case, we have <em>x</em><em> </em><em>+</em><em> </em><em>h</em><em>.</em><em> </em>Since we want x alone we have to get rid of the h. We can do this by subtracting h from both sides (whatever you do to one side, you have to do to the other side).
Therefore, x = r - h.
Answer:
J (-3,3), G (0,3), H (4,9), I (3,3)
Step-by-step explanation:
When your dilating a figuring it either gets larger or smaller. Since this is a positive number, and it is not a fraction then the figure is getting larger. Now you multiply each of the original coordinates by 3 to get the dilated coordinates.
(For learning purposes only)
Answer:
WX < YW < XY
Step-by-step explanation:
<h2>Angle sum property</h2>
Sum of all angles of triangle = 180
114 + 53 + ∠y = 180
167 + ∠Y = 180
∠Y = 180 - 167
∠Y = 13
The side opposite to smallest angle is shortest.
Angles in ascending order: ∠Y < ∠X < ∠W
Sides in ascending order: WX < YW < XY
