Monique has 2 hours to complete 3 homework assignments.She wants to spend the same amount of time on each assignment.How meany m
1 answer:
You might be interested in
Given: Circle X, Chords AB and CD, AB <span>≅ CD, distance from AB to X is 9.
1. Circle X
1. Given
2. AB and CD are chords of circle X
2. Given
3. </span>AB ≅ CD
<span>3. Given
4. AB is 9 units from X.
4. Given
<em>(You can combine some of these givens into one step if you want)</em>
5. AB and CD are equidistant from X.
5. </span>When ≅ chords are in the same circle, they are equidistant from the center.
6. CD is 9 units from X.
6. Substitution Property <span>■
Refer to the attached image if you need to.</span>
1. Circle X
1. Given
2. AB and CD are chords of circle X
2. Given
3. </span>AB ≅ CD
<span>3. Given
4. AB is 9 units from X.
4. Given
<em>(You can combine some of these givens into one step if you want)</em>
5. AB and CD are equidistant from X.
5. </span>When ≅ chords are in the same circle, they are equidistant from the center.
6. CD is 9 units from X.
6. Substitution Property <span>■
Refer to the attached image if you need to.</span>
Answer:
Therefore the value of k = 6.
Step-by-step explanation:
Given:
LN = m
NM = l
OM = k
NO = 4
LO = 8
LM = 8 + k and
Δ LNM ,Δ LON and Δ MON are right Triangle.
To Find :
Om = k = ?
Solution:
In Right angle Triangle By Pythagoras Theorem we have,
So, In Right angle Triangle Δ LON we have,
LN² = ON² + OL²
m² = 4² + 8²
m² = 80 ............( 1 )
Now in Right angle Triangle Δ MON we have,
MN² = ON² + MO²
l² = 4² + k² ....................( 2 )
Now In Right angle Triangle Δ LNM we have,
LM² = LN² + MN²
(8 + k)² = m² + l² .................( 3 )
Substituting equation 1 and equation 2 in equation 3
(8+k)² = 80 + 4² + k²
Applying (A+B)² = A² +2AB + B² we get
Therefore the value of k = 6.
