Answer: x = 34°
Explanation:
As per definition, complementary angles add up 90°.
In the figure you see angle A measures x + 22° and angle B measures x.
Therefore, according to the definition, you can set this equation:
x + 22° + x = 90°
Solve for x:
- start: x + 22 + x = 90
- combine like terms: 2x + 22 = 90
- subraction property: 2x = 90 - 22
- do the operation: 2x = 68
- division propery: x = 68/2
- do the operation: x = 34
Answer: x = 34°
To determine the area of a triangle, we calculate one half of the product of the base and the height of the triangle so we need data on its base and its height. We are given the following:
Hypotenuse = 7 + base = 14 + height
Perimeter = 84 inches
The perimeter of the triangle is equal to the sum of the three sides of the triangle which are the height, base and hypotenuse. So,
Perimeter = height + base + hypotenuse = 84
We let x = height and y = base. We calculate area as follows:
84 = x + y + (7 + y)
77 = x + 2y
x = 77 -2y
Hypotenuse is related to the other sides by the Pythagorean theorem.
Hypotenuse^2 = (x^2 + y^2)
(14 + x)^2 = x^2 + y^2
(14 + (77-2y))^2 = (77-2y)^2 + y^2
(91-2y)^2 = (77-2y)^2 + y^2
Solving for y and x
y = 28
x = 21
Area = (28)(21) / 2 = 294 square inches
Answer:
A(w) = - 
+ 100w
Step-by-step explanation:
First, we need to find down the length (l) of the rectangular area in term of w
We have 200 feet of fencing is the perimeter of the rectangular area, which mean:
2 (w + l) = 200
<=> l = 100-w
But the area of land: w*l
= w (100-w)
=- + 100w
So, A(w) = - + 100w
Answer:
Not sure what number sense is, but 3 is the answer.
Step-by-step explanation:
