The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.
Answer:
$1.00
Step-by-step explanation:
20/10=2
Answer:
Step-by-step explanation:
The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where
a represents the apotherm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²
Answer:
Step-by-step explanation:
The equation is 3x - 5y =20.
Suppose we start with (5, y). What value of y is a solution of this equation?
Substitute 5 for x in 3x - 5y =20, obtaining: 3(5) - 5y = 20.
Then -5y = 5, and y = -1. Thus, (5, -1) is a solution of 3x - 5y =20.
Next:
We have (x, 2). Find the value of x that makes (x, 2) a solution of 3x - 5y =20.
Replace y with 2: 3x - 5(2) =20
Then 3x = 30, and x = 10. So (10, 2) is a solution of 3x - 5y =20.
