Answer:
<u>30°</u>
Step-by-step explanation:
This right triangle has :
- right angle (90°)
- One angle of 60°
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Solving :
We know the angle sum of a triangle is 180°.
⇒ x + 90° + 60° = 180°
⇒ x + 150° = 180°
⇒ x = <u>30°</u>
Answer: x = 0, and y = -2
Step-by-step explanation:
-5x + y = -2 .........(1)
-3x + 6y = -12 ......(2)
From equation (1)
-5x +y = -2 .........(1)
y = 5x - 2 .............(3)
Now substitute for y in equation (2)
-3x + 6 (5x -2 ) = -12
Make use of 6 to open the bracket ,we now have
-3x + 30x - 12 = -12
= 27x - 12 = -12
Collect the like terms
27x = -12 + 12
27x = 0
Divide through by 27 to get the value of x
x = 0/27
x = 0
To determine y, substitute for x in equation (3)
y = 5x - 2
y = 5(0) - 2
y = 0 - 2
y = -2
Check : Substitute for x and y in equation (1)
-5x + y = -2
-5(0) + (-2) = -2
0 -2 = -2
0 - 2 = -2
If A = {1, 3, 5, 6, 7, 9, 10}, B = {3, 5, 7, 9,10,12}, C = {2, 4, 6, 8, 10,12} (a) Find A U B ( b) Find A U C (c) Find B ∩ C
Rainbow [258]
Answer:
Step-by-step explanation:
A ∪ B -----> we have to write all the elements from A & B set without duplicating.
B∩C ------> We have to write only the elements that are found in both B set and C set
A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}
b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}
c) B ∩ C = {10,12}
EAnswer:E
Step-by-step explanation:
