Answer:
Step-by-step explanation: For example, if we have matrix A whose all elements in the first column are zero. Then, by one of the property of determinants, we can say that its determinant is equal to zero. Hence, A would be called as singular matrix. Note that singular matrices are non-invertible (their inverse does not exist).
Answer:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get

The value of 'x' is 17.
Answer: Samira paid $8540 for her car.
Step-by-step explanation:
Let x = Amount paid by Samira for her car.
Given: Depreciation rate = 23%
Worth of car after one year = $ 6575.80
As per given,
x - 23 % of x = 6575.80
⇒ x - 0.23x = 6575.80
⇒ 0.77x= 6575.80
⇒ x= $8540 [Divide both sides by 0.77]
Hence, Samira paid $8540 for her car.
Answer:
2. 9, 8+9
3. 17-8=9, 17, 8, 9
4. 13-7=6
Step-by-step explanation: