And this is why I hate math.

Mathematics

2 answers:

Novosadov [1.4K]2 years ago

7 0

Complementary angels add up to 90°
so x+18°=90°
so x=90-18=72°

Bogdan [553]2 years ago

4 0

Complementary angles = angles that add up to 90°

So since ∠ABD and ∠DBC are complementary, you just need to add them and equal them to 90; your equation will look like this: $18+x=90$

Just subtract 18 on each side, and your answer will be $x=72$

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Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.

alexandr402 [8]

To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

$\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}$

and yes, the domain for the range 0 ⩽ x ⩽ 2, let's get instead the "range" of the original function,

 $\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}
\\\\\\
x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\
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\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}$

8 0

3 years ago

Angle G and H are vertical angles. If angle G is 45 degrees and angle H is 2x degrees, what is the value of x?

Veseljchak [2.6K]

Answer:

x = 22.5

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.

The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.

2x = 45

Divide both sides by 2.

x = 22.5

6 0

3 years ago

Solve for a: 3/5a = 1/4

liberstina [14]

3/5a = 1/4....multiply both sides by 5/3, cancelling out the 3/5 on the left
a = 1/4 * 5/3
a = 5/12

6 0

3 years ago

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