Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Answer:
AA similarity
Step-by-step explanation:
Respective angles of both triangles are 40°, 50° and 90°
AA similarity is the case:
- <em>If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.</em>
Answer:
The answer is 1/22.
Step-by-step explanation:
→ (1/8) ÷ (11/4)
→ (1/8) × (4/11)
→ (1×4)/(8×11)
→ 4/88
→ 1/22 [Simplest form]
Thus, 1/22 is the solution.
