Only the third model shows parallel lines cut by a transversal.
We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.
In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.
Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.
It is 391 because 1+0=1, 9+0=9, and 1+2=3
Answer:
40 coins in each piggy bank
Step-by-step explanation:
Add all the coins together.
95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins
Divide the number of coins by 4.
160 coins divided by 4 piggy banks= 40 coins in each piggy bank
I hope this helps ;)
Answer:
The new volume is 3n^2+2n inches greater.
Step-by-step explanation:
Volume of a cube = s^3 where s is side of cube
Original volume = n^3
Volume of a Rectangular Prism = LBH
New Volume = (n+1)(n+2)(n)= n^3+3n^2+2n
DIfference = New- original = 3n^2+2n
Answer:
x = 15
Step-by-step explanation:
A full circle = 360°
Therefore,
(8x - 10)° + (6x)° + (10x + 10)° = 360°
Solve for x
8x - 10 + 6x + 10x + 10 = 360
Add like terms
24x = 360
Divide both sides by 24
x = 360/24
x = 15