Answer:
The patio is a rectangle
Step-by-step explanation:
Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.
Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.
So, the patio is a rectangle.
Answer:
21 students pass
Step-by-step explanation:
Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction 
(which is 75% represented as a fraction).
The fraction can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with 
.
Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.
The denominators cancel out leaving you with a simple equation to simplify.
Finally, divide both sides by four in order to isolate the variable.
X = 21.
Answer:
The correct answer is A) 2
Step-by-step explanation:
In order to find this, input 1 into the equation for each value of x that you see.
f(x) = x^2 + 3x - 2
f(1) = 1^2 + 3(1) - 2
f(1) = 1 + 3 - 2
f(1) = 2
Answer:
D) The variable is discrete because it is countable.
Step-by-step explanation:
Both discrete and continuous falls under the numeric category.
Discrete variables are the variable that are countable and cannot be expressed in decimal form.
Example: Tosses of a coin, Number of rooms in an house.
Continuous variables on the other hand cannot be counted, they are countable and can be expressed in the form of decimals. Its value can be expressed in the form of interval.
Example: Time, Length.
Now, number of students in a class is a discrete variable since students are countable and they cannot be expressed in decimal form.
So the correct option is D) The variable is discrete because it is countable.
Answer:
x = 36
Step-by-step explanation:
Given;
(8/9)x = 32
Solving for x
Multiply through by 9
(8/9)×9 ×x = 32×9
8x = 32×9
Divide through by 8
8x/8 = 32×9/8
x = 36
