Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
Answer:
C) No, after multiplying 15.5 by 18 you need to divide by 25 to determine the number of boxes.
Step-by-step explanation:
The dimensions of the rectangular room are 15.5 feet x 18 feet. Which is a total area of: 15.5 x 18 = 279 ft².
The tiles being used are 12 inches x 12 inches or 1 foot x 1 foot. Since there are 25 tiles in each box, it can cover an area of 25 ft ².
When doing calculations with measurements, the measurements must be the same. For instance, you can not divide square feet by inches because they are different measurements. However, you can divide by square feet. To the total square footage of the room (279 ft²) can be divided by the amount of square feet covered by each box (25 ft²): 279/25 = 11.16 or a minimum of 12 boxes would be needed.
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.
Answer: b = -6, 4
Step-by-step explanation:
Convert into factored form :
(b+6)(b-4)
Then make one of the terms 0.
Parallel lines have the same slope.
