For question 4, 
units,
For question 5, 
units.
Step-by-step explanation:
Step 1:
Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.
We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.
Step 2:
For question 4, the first rectangle has a length of 9 units while the width is 3 units.
For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.
The ratio of the first rectangle to the second is;
So units.
Step 3:
The shapes in question 5 are made of a square and a triangle.
For the first shape, the side length is 6 units while the side of the triangle is 10 units.
For the second shape, the side length is 5 units while the side of the triangle is x units.
The ratio of the first shape to the second is;
So units.
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to 
therefore
For 
-----> one unit to the right of the vertex
Find the value of 
For 
-----> one unit to the left of the vertex
Find the value of 
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
Answer:
a) Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Step-by-step explanation:
We are given the following in the question:
In a research, a unit is a single individual or object that is measured.
a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.
Since college students are asked about procrastination, then the unit in this study is college students.
Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.
Since all SUVs cars are considered, the unit in this research is SUV cars
Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Answer:
x = 20.75
Step-by-step explanation:
<u>Step 1: Solve for x</u>
4x + (-9) = 74
4x - 9 + 9 = 74 + 9
4x / 4 = 83 / 4
x = 20.75
Answer: x = 20.75
Exponents if those are the answer it bc the second number is an exponent
3^3= 27
4^3=64
3^4=81
