Answer:
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be 
.
We have the following proportion:
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be 
.
We have:
Therefore, there were 7,500 books in 2013.
Okay so you should find the area and then divide it by 45
120*90= 10,800
10,800/45= 240
240 is the amount of packages you will need to cover the floor
We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to
2x + y = 92
The value of y in terms of x is equal to,
y = 92 – 2x
The area is the product of the two sides,
A = xy
Substituting,
A = x (92 – 2x) = 92x – 2x2
Solving for the derivative and equating to zero,
0 = 92 – 4x ; x = 23
Therefore, the area of the garden is,
<span> A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>
Step-by-step explanation:
vertical angles or line pairs
c=60
180-120=60
180-131=49
60+49=109
180-109=71
Arc XZ is marked in red (see the image attachment)
Angle XYZ is marked in blue
It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.
measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degreesAnswer: D) 14 degrees
