Answer: There are 26000 miles that will both be due at the same time.
Step-by-step explanation:
Since we have given that
Number of miles required by new vintage = 400
Number of miles if these services have must been performed by the dealer = 13000
We need to find the number of miles from now that will both be due at the same time.
We would use "LCM of 400 and 13000":
As we know that LCM of 400 and 13000 is 26000.
So, there are 26000 miles that will both be due at the same time.
Answer: The square root of 8 is expressed as √8 in the radical form and as (8)½ or (8)0.5 in the exponent form. The square root of 8 rounded up to 8 decimal places is 2.82842712. It is the positive solution of the equation x2 = 8.
Step-by-step explanation:
Answer:
<u>Δ MNO ≅ Δ PQR by ASA postulate</u>
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
<u>Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.</u>
Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
Length = 31 ft
width = 19 ft
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft