Answer:
5
Step-by-step explanation:
Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements Reason
1. ║ , J is the midpoint of 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. ≅ 4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ 5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines and , by the transversal are equal
Vertically opposite angles formed by the crossing of two straight lines and are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent ≅ , then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
It is not reasonable, because we know by estimating that 29.4 × 8.6 is approximately (but less than) 30 * 9 = 270, which is way less than 2528.4.
Answer:
x=1
Step-by-step explanation:
simplify and create a chart of denominators until you find the common one.
Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
In the given triangle,
Multiply both sides by a.
Divide both sides by
The value of a is .
Therefore, the correct option is b.