Answer:
1) angle 1 is 55 degrees
2) angle 2 is 55 degrees
3) angle 3 is 70 degrees
4) angles 1 and 2 are vertical
Step-by-step explanation:
1) angle 1 = 180 - (85 + 40)
2) angle 2 has the same measure of angle 1
3) angle 3 is 180 - (55 + 55)
4) angles 1 and 2 are vertical and congruent
To get the greatest possible quotient, you need the biggest possible
dividend and the smallest possible divisor.
96,432 divided by 225 = 428.5666... <== greatest possible
23,469 divided by 522 = 44.9597... <== smallest possible
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.
Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.
They total 94,500:
x+2x+4x = 94500
7x = 94500
Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
Answer:
First, 32 rounded to the nearest ten is:
30
Step-by-step explanation:
When rounding to the nearest ten, like we did with 32 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Answer:
The 75th term in the sequence is 16
Step-by-step explanation:
The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value
In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.
To find the 75th term:
Multiply the number of terms by 0.75 (or 75%/100%) :
0.75*4 terms= 3
Then, we find the value of the term that is at position 3 from the left (lowest number)
In this case, the term that is at the 3rd position from the left is 16
Thus, the 75th term in the sequence is 16