Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
Answer:
p, m, n.
Step-by-step explanation:
It is given that,

Here, p is the name of the function and its variable is m which is independent.
Independent variable : Whose value does not depend on another variable.
Dependent variable : whose value depends on the another variable.
Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.
∴ If n = p(m), p is the function name, m is the independent variable, and n is the dependent variable.
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Answer:
Step-by-step explanation:
Solution
Here,
h²=p²+b²
or,15²=x²+7²
or,225=x²+49
or,x²=225-49
or,x²=176
x=13.266
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