Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
Answer:
60% x 25
55 % x 25
10 in english
25 is total and rest will be math
so 25-10 = 15
15 students failed math
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
But 4 = 2² and 8 = 2³
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ
2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ
Multiply out the powers, also since the
2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ
Since the bases are the same, hence the powers are also the same.
4x + 10 = 9x
4x - 9x = -10
-5x = -10
x = -10/-5
x = 2
Hope this explains it.
Answer:
(5a+b)⋅(5a−b)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
52a2 - b2
STEP
2
:
Trying to factor as a Difference of Squares
2.1 Factoring: 25a2-b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (5a + b) • (5a - b)
