Angle Y is a right angle, so it’s 90 degrees. Angle W is 2x, since it’s opposite angles on a single line intersecting parallel lines. Triangles have 180 degrees, so adding up all sides creates the equation to solve:
X+Y+W=180
(3x-5)+90+2x=180
5x+85=180
5x=95
x=19
Answer:
11 coins for $1.99
Step-by-step explanation:
The maximum total less than $2 is $1.99. It takes 11 coins to make that total. It would take 1 fewer if the nickel were not required.
Starting with the minimum required coins, which total $0.91, we need to add $1.08 using a minimum number of coins. To minimize the added coins, we start with the largest we can use without going over the total: 2×50¢ + 1×5¢ + 3×1¢. These 6 coins added to the required 5 coins give the desired total using 11 coins.
11 coins: $1.99 . . . . (3×50¢ +1×25¢ +1×10¢ +2×5¢ +4×1¢)
$1.99 is the highest possible total less than $2.00, and it takes a minimum of 11 coins to make that total.
Answer: 35.9 degrees
Step-by-step explanation:
Since cosine(x) is adjacent/hypotenuse, cosine(x) = 47/58.
Therefore we can take the arc cosine of 47/58, and we get x is about 35.9
= 1
-------------------
1/4 * 1/8 * -1024
= 1 / ( -32)
= -1/32
C
Answer:
The domain of function( f+ g)(x) ( (-∞,∞))
Step-by-step explanation:
Given ( f + g)x = f(x) +g(x)
The domain of function (f + g)(x) is (-∞,∞)
<em>Example:-</em>
<em>f(x) = 2 x² + 3x and g(x) = 4x² +3</em>
<em>(f + g)(x) = f(x) +g(x)</em>
<em> = 2 x² + 3x + 4 x² + 3</em>
<em> = 6x ² + 3 x + 3</em>
<em>The domain of (f + g) (x) is ( -∞,∞))</em>
