1.) 31
2.) 35
3.)85
4.) 10
5.)-1
Answer:
statement: segment HA is parallel to seg HD and seg HD is parallel to seg AN.
Reason: given
statement: angle 1 is congurent to angle 3.
reason: alternate interior angles are congruent.
statement: angles 2 and 4 are congruent
reason: alternate interior angles are congruent.
statement: Seg DA is congruent to seg DA
reason: reflexive property
statement: angle AHD is congruent to angle AND
reason: since angles 1 and 3 are congruent, and 2 and 4 are congruent, and HDA is a triangle, same with AND, the last angle must be congruent.
statement: seg HD is congruent to seg NA and HA is cong to ND.
reason: ASA angle side angle theorem states that if 2 angles and a side is congruent to the corresponding parts of another triangle, then it is congruent.
Step-by-step explanation:
Answer:
It would be B
Step-by-step explanation:
The Y-intercept is -8, because when you balance the equation, you subtract the positive 8.
There is not enough information to find the slope of this graph. But Y = 4
The perimeter of a rectangle is twice the length plus twice the width. Thus,
2w + 2l = 36.
2l = 36 - 2w
l = 18 - w
The area is length times width.
36 = lw
36 = (18 - w)w
36 = 18w - w^2
w^2 - 18w + 36 = 0
w = (18 +- sqrt(18^2 - 4 * 36))/2
w = (18 +- sqrt(180))/2
w = 9 +- sqrt(45)
Thus, one of the side lengths is 9 + sqrt(45), and the other is 9 - sqrt(45).
