A local building code requires that the angle of the pitch on a roof be between 20 degrees and 25 degress. You are building a 20 ft wide shed, and the height of the roof at its center will be defined by the tangent curve y = 10tan theta If you wanted to put a roof that was 5 ft high measured from the top of the wall, would the roof pass the building code? What is the range of heights for the roof that will fall within the building code? A no; between about 7.3 and 9.3

B no; between about 1.8 and 2.3 ft

C yes; between about 4.5 and 5.5 ft

D no; between about 3.6 and 4.7 ft

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

246

step-by-step explanation:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system