Ex1) a. supplementary (angle A + angle B gives 180) b. neither c. complementary (angle A + angle B gives 90)
Ex2) An angle of 180° (since it makes a straight line)
Supplementary angles are any angles that give 180 in sum, so for example 90° and 9°
Two different ones could be 150 and 30, for example
2 complementary angles are any angles that give 90 in sum, so for example 45 and 45 or 50 and 40
Since we know that a straight angle is 180 (like in the picture), and we are given (in that straight angle) an angle of 90° (the left) and 55° (CED) we only need to find BEC. Again, since a straight angle gives 180°, we just need to sum all of these and get 180°:
90 + 55 + BEC = 180
145 + BEC = 180
BEC = 180 - 145
BEC = 35°
-7 is your answer to this equation
3x + 6y = 10 is the equation to determine of an apple x and the price of an orange y
<em><u>Solution:</u></em>
Let the price of each apple = $ x
Let the price of each orange = $ y
Martha bought 3 apples and 6 oranges
She had $10 in her wallet which was enough money for the purchase
Thus the equation is:
Total amount = 3 apples(price of each apple) + 6 oranges(price of each orange)
Thus we get,
Thus the equation is found
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Answer:
Slope: 1/5
Step-by-step explanation:
-1,2
4,3
-1 - 2 = -1
-1 - 4 = -5
-1/-5 = 1/5