Answer: 9
Step-by-step explanation:
There are 8 equal sections which are meant to reflect the data Jasmine collected from surveying the students.
This means that each section represents;
= 36/8
= 4.5 students.
There are 2 sections that represent the number of students who said they would be traveling during the holiday break.
= 4.5 * 2
= 9 students
Answer:
80 degrees
Step-by-step explanation:
they are adjacent angles -
115-35=80
GBE=80 degrees
Given:

To prove:

Proof:
In
,
because Given
because Given
because Reflexive property.
Corresponding sides of both triangles are congruent. So,
because SSS
Therefore, the required missing values are: Given,
, Reflexive property ,
, SSS respectively.
Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]