Answer:
b = 15°
Step-by-step explanation:
The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:
2c +60 = 180
2c = 120
c = 60 . . . . . . degrees; the base angle of ΔQPR
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Likewise, the base angle (∠SRP) of ΔSPR is ...
a = (180 -90)/2 = 45 . . . . . degrees
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The measure of angle b is the difference between the larger and smaller base angles:
b = c -a = 60° -45°
b = 15°
Set up a proportion:
10 miles - x hours
m miles - 1 hour
The man walks 10/x miles in one hour.
<span>Thank you for posting your Math question here at brainly. The line segments that are necessary to be connected to each point is 34. The total number of such connection is C(35,2) = 35 * 34/2. I hope the answer helps. </span>
Answer:
4 times
Step-by-step explanation:
[] If the spinner has 5 equal parts labeled 1 through 5, then the chance to spin a 2 is 1/5 because only one of the pieces has a 2.
[] Our whole is 20 because the spinner is spun 20 times
20 * 1/5 = 4
[] Sandy can expect to spin a 2 4 times.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) <em>[x = 5; y - ?]</em>
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) <em>[x - ?; y = -5]</em>
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) <em>[x - ?; y = 0]</em>
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
<em>Point A has coordinates (5; 0), which means that</em>
<em>point C has coordinates (-5; 0).</em>
D. (0; _) <em>[x = 0; y - ?]</em>
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
<em>Point B has coordinates (0; -5), which means that</em>
<em>point D has coordinates (0; 5).</em>