Answer: x > 3
Step-by-step explanation:
We have the inequality:
-4*(2*x - 7) < 10 - 2*x
We want to find the possible values for x.
first, we expand the left side.
-8x + 28 < 10 - 2x
now we want to have all the terms with x in one side and the terms without x in the other side.
-8x + 2x < 10 - 28
-6x < -18
now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:
x > 18/6 = 3
x > 3
This means that x must be larger than 3.
Step-by-step explanation:
4. To use SSS, you need three pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is WY ≅ KM.
5. To use ASA, you need a pair of congruent sides between two pairs of congruent angles. You're given one pair of congruent angles, and since the triangles share a common side, we know BC ≅ BC. So the additional information needed is ∠WBC ≅ ∠ACB.
6. To use SAS, you need a pair of congruent angles between two pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is ∠I ≅ ∠F.
It’s the point where the parabola crosses its axis of symmetry
15, 18, 21
i don't know the other one, sorry
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
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5 feet. </span>