Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!
1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?
He is 9% of the class that is spreading Christmas cheer.
2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?
If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.
3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?
They worked 98.5% of the time
4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?
80% of flyers have been handed out.
5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?
This number as a decimal and a fraction in simplest form is 3/20 and 0.15.
Answer: C
Step-by-step explanation:
We are given the information that:
- The airplane is at 50,000 feet
- It descends 2,500 feet in 1 minute
- x = minutes
For ease of solving this question, let's set the number of minutes (x) to 1.
- In one minute, we know the plane will drop to 47,500 feet. (50,000 - 2,500(x))
There are multiple ways to write this equation bu shifting around negative and positive values. Another way to write this equation would be (-2,500(x) + 50,000). That would be choice C.
Try it out~
It works, so our answer is C.
9514 1404 393
Answer:
A
Step-by-step explanation:
Attached is a copy of the figure with some of the clutter removed. The congruent angles marked with a single arc, and the parallel lines are given.
The angles marked with a double arc are congruent because they are alternate interior angles where transversal XZ crosses parallel lines XW and YZ. Of course, side XZ is congruent to itself.
Hence we have two angles and a side not between them that are congruent. We can declare ∆XWZ ≅ ∆ZYX by the AAS postulate. (choice A)
