Answer:
x = 20
Step-by-step explanation:
The marked angles are vertical angles and congruent, thus
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
AB is 6
BC is 4
CD is 6
DA is 8
A is 45degrees
B is 130dgrees
C is 130degrees
D is 45degrees (about)
If you're referring to the different sets of real numbers, it's the ones that you could try to do subtraction and not get an answer that still in that set.
For example, natural numbers (aka 1, 2, 3, 4, ...) are not, because 7 - 11 = -4 and -4 is not a natural number.
Also, whole numbers (aka 0, 1, 2, 3, 4, ...) has the same issue.
Basically any set of real numbers that doesn't include negative numbers will have this issue.
Answer: c.A is the set of rational numbers
Step-by-step explanation:
B ⊆ A means that every element of B is an element of A
B = { -13 , -9 , -7 , - 3 }
The element of B are negative integers , this mean that the element of A must also be integers therefore :
Option a is correct.
Option b is also correct
Rational numbers are numbers that can be express in the form a/b , examples are : 1/2 , 3/ 4 , 5/6 ...
clearly , this does not necessarily define A , so option c is the odd one out
Answer:

Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as

where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40



substitute

apply distributive property

see the attached figure to better understand the problem