Answer:
<em>∠TUV = 56°</em>
Step-by-step explanation:
<em>∠TUV = 1/2 ∠TWV</em>
<em>∠TUV = 112° ÷ 2 = 56°</em>
Answer:
$ 27.09
Step-by-step explanation:
Given,
The regular price of the watch = $ 32.25,
The marked off percentage or discount percentage, in the sale = 16%,
So, the amount of marked off = 16% of regular price
= 16% of 32.25
= 0.16 × 32.25
= $ 5.16
Hence, the the price of the watch during the sale = Regular price - marked off
= $ 32.25 - $ 5.16
= $ 27.09
Last option is correct.
Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
161.5 miles / 3.5 hrs = 46.143 mph
Answer:
Step by Step:
x-2y=4
+2y +2y
x=-2y+4
x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y
x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4
y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)
