Answer:
72
Step-by-step explanation:
The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.
Because of this, in this triangle 30^2 + B^2 = 78^2
Which means B^2 = 5184
And B = 72
3. B.
4. 9c + 9s + 32
(9c + 32) + 9s
And
<span>9(c + s) +32</span>
The numbers are complex numbers, and the sum of the complex numbers (-4 +i) and (10 - 5i) is 6 - 4i
<h3>How to evaluate the sum?</h3>
The expressions are given as:
(-4 +i) and (10 - 5i)
The sum is represented as:
Sum = (-4 +i) + (10 - 5i)
Open the brackets
Sum = -4 +i + 10 - 5i
Collect like terms
Sum = -4 + 10 +i - 5i
Evaluate the like terms
Sum = 6 - 4i
Hence, the sum of the complex numbers (-4 +i) and (10 - 5i) is 6 - 4i
Read more about complex numbers at:
brainly.com/question/10662770
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Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The explanation of angle measures is shown below:-
The shape which is parallelogram WXYZ. m∠Y = 125
A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.
In WXYZ parallelogram is there
m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary
m ∠ Z + 125 = 180
m ∠ Z = 180 - 125
m ∠ Z = 55°
m ∠ W which equals to m∠Y where equal angles are Opposite
m∠W = 125°
m ∠ W + m ∠ X = 180°
which is the angle of Consecutive in a parallelogram called supplementary)
m ∠ X + 125 = 180
m ∠ X = 180 - 125
After solving the above equation we will get
m ∠ X = 55°
