1/6 or ≈ 16.67%
the odds of rolling any one number are 1/6
Answer:
m∠QTP = 43°
Step-by-step explanation:
As with any problem, you start by looking at what you are given and the relationships between those things and what you are to find.
There are several relationships you can make use of here:
- the sum of angles of a triangle is 180°
- vertical angles are congruent
- corresponding angles are congruent where a transversal crosses parallel lines
The angles marked (3x°) and (5x-32)° are corresponding angles, so are congruent. That means you can find their measure:
3x = 5x -32
0 = 2x -32 . . . . . subtract 3x
0 = x -16 . . . . . . . divide by 2
16 = x . . . . . . . . . .add 16
3x° = 48° . . . . . . find 3x°
Angle TPQ is vertical with 3x°, so also has measure 48°. Angle TQP is vertical with the angle marked 89°, so also has measure 89°.
Now, you know two of the three angles in triangle QTP, so you can find angle QTP:
m∠QTP + 48° + 89° = 180° . . . sum of angles in a triangle
m∠QTP = 43° . . . . . . . . . . . . . . subtract 137°
X - 7 = y
12 - 7 = 5
xD hope this helped
Answer:
Angle 1 is 112°, 2 is 68°, 3 is 90°, 4 is also 90°, 5 is 22° and angle 6 is 158°
Step-by-step explanation:
To find angles 3 &4 and 2 &1, you subtract the measurement given in each intersection from 180 (all straight lines are 180) to find the other angle measurements. To find 5 I used the 4th angle and the 2nd angle to find the missing number out of 180 since all of the angles in a triangle have a sum of 180°. The missing angle was 22. You can use the angle measurement of #5 to find 6 like how I mentioned before about all straight lines equaling 180°. If this all sounds like mumbo-jumbo I can elaborate a little more in the comment section!
Answer: 105 kilometers
Step-by-step explanation:
1 kilometer=1,000 meters
15,000 (meters a day) x 7 (days a week) = 105,000 meters.
Convert the meters to kilometers:
105,000/1,000 = 105 kilometers
