X = 58
The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.
Answer:
Step-by-step explanation:
Start by removing the brackets.
Left Brackets
30(1/2 x - 2)
30*1/2 x - 30*2
15x - 60
Right Bracket
40(3/4 y - 4)
40*3/4 y - 4*40
10*3 y - 160
30y - 160
Now put these 2 results together.
15x - 60 + 30y - 160 Combine the like terms.
15x + 30y - 220 That's one answer Others are possible.
5(3x + 6y - 44)
Answer:
A) increases
Step-by-step explanation:
5/x + 5
suppose x = 5; then 5/5 + 5 = 1 + 5 = 6
x = 2; then 5/2 + 5 = 2.5 + 5 = 7.5
x = 1 ;then 5/1 + 5 = 5 + 5 = 10
So when x value decreases from a large positive number to a small positive number, 5/x + 5 increases
Answer:
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = 
=
Answer:
(A) 4.03 x 10^14
Step-by-step explanation:
403,000,000,000,000
Scientific notation is of the form
a * 10 ^b
where a is a number from 1 to a number less than 10
Put the decimal in the number
403,000,000,000,000.
We need to move the decimal 14 places to the left to get the number to be between 1 and 10
4.03000000000000 so the b is 14
Since we moved it to the left b is positive
We can drop the extra zeros at the end (after the last nonzero digit)
4.03 *10^14
