is continuous over its domain, all real
.
Meanwhile,
is defined for real
.
If
, then we have
as the domain of
.
We know that if
and
are continuous functions, then so is the composite function
.
Both
and
are continuous on their domains (excluding the endpoints in the case of
), which means
is continuous over
.
Answer:
Step-by-step explanation:
The ratio of the same side interior angles of two parallel lines is 33:3
If two parallel lines are cut by a transversal
Sum of the same side interior angles = 180 degrees.
Therefore, the two same-side interior angles are:
We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:
Diagonals of a rectangle are congruent.
18x - 28 = x + 380
Solving for x, I get 17.
So, x = 17.
PR = 18x - 28
PR = 18(17) - 28
PR = 278
QS = x + 380
QS = 17 + 380
QS = 397
Answer:
x = 3 , y = 1
Step-by-step explanation:
2x + y = 7
3x + y = 8
solution
2x + y = 7-----------(1)
3x - y = 8------------(2)
from equation 1
2x + y = 7
y = 7 - 2x-------------(3)
substitute equation 3 into equation 2
3x - y = 8
3x - (7 - 2x) = 8
3x - 7 + 2x = 8
3x + 2x = 8 + 7
5x = 15
divide through by the coefficient of x
5x/5 = 15/5
x = 3
to find y
substitute x into equation 1
2x + y = 7
2(3) + y = 7
6 + y = 7
y = 7 - 6
y = 1
Answer:
66
Step-by-step explanation:
12(8)-9(8-6)-(12-9)(8)÷2=96-18-12 or 6(9)+(12-9)(8)/2=54+12
= 66 =66
