Answer:
The given expression
on multiplying is 
Step-by-step explanation:
Consider the given two expressions
and 
We have multiply both expressions,

To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,

Then power of x together will be,

Similarly for y powers,

Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is 
Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
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Using the Pythagorean theorem:
x^2 + (x-2)^2 = (√20)^2
Simplify the right side:
x^2 + (x-2)^2 = 20
Subtract 20 from both sides:
x^2 + (x-2)^2 - 20 = 0
Factor:
(x-4)(x+2) = 0
Solve for each x:
x = 4 and x = -2
The side cant be a negative value, so the answer would be x = 4
The answer is B.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Answer:
this is your answer. if I am right so
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