Answer:
x = orgininal angle
3x +20 = supplementary angle
1. x + (3x+20) = 180
2. 4x + 20 = 180
3. 4x = 160
4. x = 40
The orginial angle is 40
The supplementary angle is 140
Step-by-step explanation:
1. define your varibles using the words given
2. add them together to equal 180, because they are supplmentary.
3. combine like terms.
4. subtract 20
5. divide by 4
6. you find x, now plug it back into your variables at the top:
x = 40
3(40) + 20 = 140
Answer:
x=14
Step-by-step explanation:
1 +2 = 6 --------------- put nums on 1 side
1 = 4 -------------------by the way, 1
=4 ------------- square both sides
x+2 = 16 --------------- subtract 2 from both sides
x = 14
Answer:
IQR=8
Step-by-step explanation:
write numbers in ascending order
3 6 9 10 12 13
find the middle, in this case, it's two numbers (10 and 12)
3 6 are on the left, find the middle between them; 3+6/2
4.5
12 and 13 are on the right, find the middle between them;
12+13/2
12.5
IQR=12.5-4.5
Answer:
Ok so
Step-by-step explanation:
1st one is Infinte
2nd one is one soultion
3rd one is not
4th one is Infinte
5ht one is no
Step-by-step explanation:
Distance = Speed * Time
If Maria drove to a business appointment at 30 mph, then
d = 30t where d is her distance and t is the time
If her average speed on the return trip in the afternoon was 20 mph and the return trip took 1/2 hr longer, then;
her speed s = 20mph
her time t1 = 1/2 + t
distance d = 20(1/2+t)
Since the distance both going and returnin are the same then:
30t = 20(1/2 + t)
3/2 t = 1/2 + t
3/2 t - t = 1/2
1/2 t = 1/2
t = 1 hr
Substitute t = 1hr into the first equation to get the distance
d = 30t
d = 30(1)
d = 30miles
Hence she travelled 30 miles to the appointment