Complementary angles are angles that measure up to 90 degrees.
To find the measures of the two angles, divide 90 by two to say two angles of 45 degrees. Now divide 14 by 2, which you get 7 with. Now add 7 to 45 and subtract it from 45 as well, to get 52 and 38.
The measures of the angles are 52 degrees and 38 degrees.
Answer:
3
Step-by-step explanation:
Answer:
The value of x is 16
Step-by-step explanation:
In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b
- a² + b² = c² ⇒ Pythagoras Theorem
In the given figure
∵ The right triangle has two legs of lengths 8√2, 8√2
∴ a = 8√2 and b = 8√2
∵ It has a hypotenuse of length x
∴ c = x
→ Substitute them in the rule above
∵ (8√2)² + (8√2)² = x²
∵ (8√2)² = (8)²(√2)² = (64)(2) = 128
∴ 128 + 128 = x²
∴ 256 = x²
→ Take a square root for both sides
∵ √256 = √(x)²
→ The root will cancel power 2 of x
∴ 16 = x
∴ The value of x is 16
Answer:
<em>The other dimension is x=4 cm</em>
Step-by-step explanation:
<u>Surface Area of a Rectangular Prism</u>
Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:
A = 2(xy + yz + xz)
We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:
148 = 2(x*5 + 5*6 + x*6)
Dividing by 2:
74 = x*5 + 5*6 + x*6
Operating:
74 = 5x + 30 + 6x
Simplifying:
74 = 11x + 30
Subtracting 30:
44 = 11x
Dividing by 11:
x = 4 cm
The other dimension is x=4 cm
