You would form this inequality:
52 + 2x < (or equal to) 180
Then, solve as you would in an ordinary equation.
Subtract 52 from both sides of the sign. 180 - 52 = 128.
So, 2x is less than or equal to 128.
Divide 128 into two to get 64.
The height of the frame must be 64 inches.
Answer:
angle: 44°
complementary angle: 46°
Step-by-step explanation:
Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.
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<h3>setup</h3>
Let 'a' and 'c' represent the angle and its complement, respectively.
a = c -2 . . . . . an angle is 2° less than its complement
a +c = 90 . . . . complementary angles total 90°
<h3>solution</h3>
Using the first equation to substitute for 'a' in the second, we have ...
(c -2) +c = 90
2c = 92 . . . . . . add 2, collect terms
c = 46 . . . . . . . divide by 2
a = 46 -2 = 44 . . . . find 'a' using the first equation
The angle is 44°; its complement is 46°.
Answer:
The function g(x) increases faster than the function f(x)
Answer:
The value of x will be:
Step-by-step explanation:
Given the equation
Multiply (or distribute) each term in parenthesis on L.H.S by -2, and multiply (or distribute) each term in parenthesis on R.H.S by 3.
simplifying the equation by subtracting 14 from the L.H.S
Subtracting 15 from both sides
combining the like terms
dividing both sides of the equation by 5
Therefore, the value of x will be:
Answer:
20
Step-by-step explanation:
