Hello mate ☺️,
We know that m < 2 = 96°, as,
(Alternate angles are equal)
Now we know that m < 5 = 96°, so,
(Linear Pair angles are supplementary)
Therefore, <u>m<5 = 96°</u> & <u>m<8=84°</u>
✍️ <em>By </em><em>Benjemin</em> ☺️
Answer:
AD = 13
Step-by-step explanation:
Area of trapezoid ABCD
Answer:
Step-by-step explanation:
To preface, your figure is going to be a line segment, with 
as your midpoint, in between points 
& 
With that being said:
Identify your values:
Substitute the values into the first equation:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
Substitute 
for in segments 
& 
:
Solve:
Check your answers by substituting:
That’s the answer with steps
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
