Answer:
see explanation
Step-by-step explanation:
(1)
CD = CE - DE = 8 - 2 = 6
CB = CD = 6 ( given as congruent ) , thus
AC = AB + CB = 4 + 6 = 10
(2)
∠ 2 + ∠ BCD + ∠ DCF = 180° ( sum of angles on a straight line )
∠ 2 + 60° + 70° = 180°
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
Good job <span>Use the data below to construct a steam and leaf display on your own paper, then describe the distribution's shape</span>
Answer:
$161.28288 or $161.28 if rounded
Step-by-step explanation:
first find 10% of the original cost
186.67/10 =18.667
18.667 x 2 = 37.334 (20%)
186.67 - 37.334 = 149.336
to find the tax, mulitple 149.336 x 1.08
1.08 because, 100% of the cost, plus 8% of the cost for tax
= 161.28288
Step-by-step explanation:
(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0
2x²+6x-20
2(x²+3x-10)
the factors are 2 and (x²+3x-10)
(2) Factor the polynomial completely. (4 points: 2 point for each factor)
2(x²+3x-10)
2(x²-2x+5x-10)
2(x(x-2) + 5(x-2)) group like terms
2(x+5)(x-2)
(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)
constant = 2 cannot be zero
the other factors are (x+5) and (x-2)
(x+5)=0 => x= -5
or
(x-2)=0 => x=2
(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)
thank you so much, sorry if it's a little confusing!!
(it is indeed confusing, because physical dimensions cannot be negative)
The dimensions of the project (assumed a rectangle) are +2 and -5
