A point is written using the form (X,Y), so the first number is the X and the second number is the Y.
Replace x and Y in the given equation with the given point:
y ≤ 3x+1
9 ≤ 3(2) +1
9 ≤ 6 +1
9 ≤ 7
9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.
Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-b</span>±<span><span>b2</span><span><span>-4</span><span>ac</span></span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=5</span><span>a=5</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−4</span></span><span>c=<span>-4</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>5⋅<span>−4</span></span>)</span></span></span></span></span><span>2⋅5</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>5⋅<span>-4</span></span></span></span></span><span>2⋅5</span></span></span>Simplify.Tap for more steps...<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span><span>x≈1.24339811,<span>−<span>0.64339811</span></span></span>
answer choice A could be correct
Answer:
Step-by-step explanation:
1. Since, it is given that ABCD is a parallelogram, therefore opposite angles of parallelogram are equal, hence
∠B=∠D
⇒7x-31=5x+13
⇒2x=44
⇒x=22
Hence, option B is correct.
2. Since, we get x=22, therefore
∠B=7x-31=7(22)-31=154-31=123°
∠B=123°
and ∠D=5x+13=5(22)+13=123°
∠D=123°
Also, ∠A+∠D=180°(corresponding angles)
⇒∠A=180-123
⇒∠A=57°
Now, ∠A=∠C=57°(opposite angles of parallelogram)
thus, Two of the angles measure 57°, and the other two measure 123°.
Therefore, option A is correct.
Answer: -2/5
(The two lines are parallel if their slopes are equal and they have different y-intercepts)