Answer:
∴ 1, 4 and 5 statement are correct.
Step-by-step explanation:
Given some statements for the parallelogram LMNO. we have to choose the statements which apply.
As we know opposite sides of parallelogram are parallel therefore, the sum of their adjacent angles are 180° i.e adjacent angle od parallelogram are supplementary.
m∠N and m∠O are 59° and 121° which are supplementary.
m∠N+m∠O=59°+121°=180°
which satisfied the condition.
Also opposite angles of parallelogram are equal implies
m∠L=m∠N=59° and m∠M=m∠O=121°
Hence, option 2 and 3 not possible.
∴ 1, 4 and 5 statement are correct.
The answer to this question is 2.048
I have to make certain assumptions about what you mean here by your
3 ≤ 4 + 3 x / 2 ≤ 2: <span>3 ≤ 4 + 3x/2 ≤ 2. Is that correct or not?
If correct, let's elim. the fractions by mult. all 3 terms of this inequality by 2:
2(</span> 3 ≤ 4 + 3x/2 ≤ 2) => 6 ≤ 8 + 3x ≤ 4
Now subtract 8 from all three terms:
6-8 ≤ 8-8 + 3x/2 ≤ 2-8, or -2 ≤ 3x ≤ 4-8, or -2 ≤ 3x ≤ -4
Isolating x: -2/3 ≤ x ≤ -4/3
There's a basic problem here: -2/3 is not ≤ -4/3.
Please double check to ensure that you have copied down the original problem exactly as it was given.
<em><u>The solution is x = 8 and y = -5</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + y = 3 ------ eqn 1
3x + 2y = 14 ------ eqn 2
We have to find the solution to the equations
We can use substitution method to solve
From eqn 1,
x + y = 3
Isolate for "x"
x = 3 - y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
3(3 - y) + 2y = 14
9 - 3y + 2y = 14
-y = 14 - 9
-y = 5
<h3>y = -5</h3>
<em><u>Substitute y = -5 in eqn 3</u></em>
x = 3 - (-5)
x = 3 + 5 = 8
<h3>x = 8</h3>
Thus the solution is x = 8 and y = -5
The answer is: 6/5
Here is why:
3x - 5y = -3
3(1) - 5y = -3
3 - 5y = -3
3 - 5(6/5) = -3
-3 = -3
