Distributive Property Practice
1 answer:
You might be interested in
Answer:
The angles are 26 and 64
Step-by-step explanation:
When two angles are complementary, what this means is that the add up to 90 degrees
Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12
Since they add up to be 90, we have
x + 2x + 12 = 90
3x + 12 = 90
3x = 90-12
3x = 78
x = 78/3
x = 26
The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64
QUESTION 1
The given inequality is
and
.
If (3,-2) is a solution; then it must satisfy both inequalities.
We put x=3 and y=-2 in to both inequalities.
and
.
:True and
:True
Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.
QUESTION 2
The given inequality is
and
.
If (1,4) is a solution; then it must satisfy both inequalities.
We put x=1 and y=4 in to both inequalities.
and
.
:True and
:True
Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.
Ans: True
QUESTION 3
The given inequality is
and
.
If (0,-2) is a solution; then it must satisfy both inequalities.
We put x=0 and y=-2 in to both inequalities.
and
.
:False and
:False
Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.
Ans:False
QUESTION 4
The given inequality is
and
.
If (0,3) is a solution; then it must satisfy both inequalities.
We put x=0 and y=3 in to both inequalities.
and
.
:True and
: True
Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.
Ans:True
QUESTION 5
The given system of inequality is
and
.
If (-3,0) is a solution; then it must satisfy both inequalities.
We put x=-3 and y=0 in to both inequalities.
and
.
;True and
:True
Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.
Ans:True