Answer:
Angle 1 = 70, Angle 2 = 90, Angle 3 = 70, Angle 4 = 70
Step-by-step explanation:
1. 90 -20 = 70
2. Diagonals are perpendicular and create right angles that equal 90
3 and 4. Diagonals bisect angles, angles on opposite sides are congruent
Answer:
Step-by-step explanation:
Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))
By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
9x2x1 and 6x3x1
Step-by-step explanation:
This question has multiple answers to it. A sandbox of 18 cubic feet with a height of a foot is actually quite simple. If it is confusing I would try to visualize the sandbox. Since volume is b x h x w the first thing you should do is divide 18 by 1. This would be more important if the height was more than one. Now you just have to find two other numbers that can divide 18. 9x2=18 and 6x3=18 so two possible dimensions for the sandbox are 9x2x1 and 6x3x1
