Answer:
x= 34°
y=5
Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.
Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°
Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)
Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.
Therefore, since both triangles have all congruent angles, both triangles are the same! So, since segment AD=5, segment CD would also be 5 (y=5).
Sit tight, this is gonna be long!! =P
Also, for this answer, I'm assuming that the 'expressway' mentioned in your question is the top horizontal line. (In fact, that must be the expressway, since there would be no other way to solve the problem)
Okay, let's get started.
For starters, GY = 16 ft. That much is given to us in the question. GY's equivalent is BX, which is 10 ft. When the angles are mirrored like they are across the 'expressway' in this problem, they do not change, so we only need to put the dimensions to scale. If we divide 10 / 16, we see that the scale-down factor is .625, or 62.5%. With this information, we can find the length of XW.
How, you ask?
Well, let me tell you.
Again, when the angles are mirrored like this, they do not change. We can see that the 90 degree angle also does not change. The length of YZ is 20 ft. To find WX, we simply need to multiply YZ by our scaling factor of 62.5%. Doing so will give us our answer of 12.5 ft.
The expressway is 12.5 feet from point W.
I hope that helped, and I _really_ hope I did that right! =P
The comparison may be done by the dimensional analysis and the proper conversion factor. That is,
(7.8 x 10^5 m/h) x (1 km / 1000 m) x (24 h / 1 day) = 18720 km / day
The scientific notation of the answer is 1.872 x 10^4 km/day. Thus, the answer is letter D.
Answer:
Please help with these few questions
6. Use the picture to find the following angle measures.
9. Write a two -column proof for the following :
Given: angle1 and angle2 form a linear pair and m angle1= 2(m angle2)
Prove : m angle2 =60
10. Write a two-column proof for the following:
Given : AB = CD , AB = 4x + 1, and CD = 6x - 13
Prove: x = 7
Step-by-step explanation:
Please help with these few questions
6. Use the picture to find the following angle measures.
9. Write a two -column proof for the following :
Given: angle1 and angle2 form a linear pair and m angle1= 2(m angle2)
Prove : m angle2 =60
10. Write a two-column proof for the following:
Given : AB = CD , AB = 4x + 1, and CD = 6x - 13
Prove: x = 7
