Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = 
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = 
A = 120°
Similarly, interior angle of the regular pentagon,
B = 
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = 
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.
6x>-25 and 9x<54the answer (solve x ) you have 6x>-25 so we solve 'x' we say divide by 6 both side then we get { x>-25/6 or x>-4.166} second you have 9x<54 we say divide by 9 each side { x<6 } your answer is { x>-25/6 and x<6 }
Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.
Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒ ......[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒ ....[2]
when they have the same amount.
equate [1] and [2] we get;
Add both sides 2x we get;
Subtract 11 from both sides we get;
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
Step-by-step explanation:
You have a 30% chance of getting a blue marble. <span />