Answer:
true
Step-by-step explanation:
Answer:
X=135 degrees
Step-by-step explanation:
the total interior angle of a triangle is 180.
To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.
The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.
Then to work out the angle of x you would minus 45 from `180, which gives you 135. This is because the total angle in a straight line is 180 degrees.
1) Add the angles of 69 and 66.
2) Minus 135 from 180.
3) Minus 180 from 45.
Answer:
There are 180 degrees in a triangle so it is 80 degrees
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
20
Step-by-step explanation:
1449÷72.45=20
