We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5
Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
What’s the question ? & need additional information
The missing factor in the equation is -21
<h3>What is a distributive factor?</h3>
The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.
From the complete question, the equation is given as:
Where x represents the missing factor.
So, we have:
Remove brackets
Collect like terms
Evaluate the like terms
Divide both sides by -1
Hence, the missing factor in the equation is -21
Read more about the distributive property at:
brainly.com/question/2807928
<span>Racial distribution is not used to categorize terrestrial biomes. Terrestrial biomes defined by their climate and dominant vegetation, include grassland, tundra, tropical rainforest and coniferous forests.</span>
The line 2x +3y = 1 is tangent to 4x^2 -9y^2 = 19
:
Solve the linear equation for y
:
1) y = -2x/3 +1/3
:
substitute for y in the equation of the hyperbole
:
4x^2 -9(-2x/3 +1/3)^2 = 19
:
4x^2 -9(4x^2/9 -4x/9 +1/9) = 19
:
4x^2 -4x^2 +4x -1 = 19
:
4x -20 = 0
:
4x = 20
:
x = 5
:
use equation 1 to get the value of y
:
y = -2(5)/3 +1/3 = -3
:
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solution is x = 5, y = -3 which is the point (5, -3)
:
check the solution
:
hyperbole
:
4(5^2) -9(-3)^2 = 19
:
100 -81 = 19
:
19 = 19
:
Line
:
2(5) +3(-3) = 1
:
10 -9 = 1
:
1 = 1
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