Answer:
The other angle is 60°
Their ratio is 1 : 2
Step-by-step explanation:
Let us revise some special angles
A pair of complementary angles is two angles their sum is 90°
A pair of supplementary angles is two angles their sum is 180°
In the question
∵ One angle of the pair of complementary angle = 30°
∵ The sum of the two complementary angles = 90°
→ Subtract 30° from 90° to find the other angle
∴ The other angle = 90° - 30° = 60°
∴ The other angle is 60°
To find the ratio of them put them in the form of the ratio, then simplify the ratio to its simplest form
∵ Their ratio = 30 : 60
→ Divide both sides by 10
∴ Their ratio = 3 : 6
→ Divide both sides by 3
∴ Their ratio = 1 : 2
∴ Their ratio is 1 : 2
Answer:
y=5x-7
-3x-2y=-12
Step-by-step explanation:
-3x-2(5x-7)=-12
-3x-10x+14=-12
-13x+14=-12
-13x=-26
y=5x-7+5x2-7=10-7=3
<h2><u>Circle Equations</u></h2>
<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>
To write the general form of a circle into standard form, use the formula
<em>(x - h)² + (y - k)² = r²</em>
Where,
<u>(h, k)</u> is the center; and
<u>r</u> is the radius
To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.
- x² - 14x + 49 + y² + 4y = 0
- (x² - 14x) + (y² + 4y) = -49
Next step is to complete the square of each equation inside the parentheses.
- (x² - 14x) + (y² + 4y) = -49
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
Then factor each equation inside the parentheses.
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
- (x - 7)² + (y + 2)² = √2
- (x - 7)² + (y + 2)² = 4
<u>Answer:</u>
- The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.
Wxndy~~
Answer:
A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line
Step-by-step explanation:
its just straight forward
