Answer:
Step-by-step explanation:
∠A=∠B
4X+7=5X-3
X=7+3=10
5*10-3=50-3=47
Answer: There are 20 students and 4 students are not here today.
Step-by-step explanation:
If the number of students = 4
Let the number of students be 'x'.
Fraction of students absent = 
If the number of students = 5
Fraction of students absent = 
And Jen came back,
So, the fraction of student absent is also written as

According to question, it becomes,

Hence, there are 20 students in our school.
And number of students are not here today is 
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression
is equivalent to the <em>trigonometric</em> expression
.
<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression
is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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Answer:

Step-by-step explanation:
Given: Edge length of cube = 
To find: Volume of the rectangular prism
Solution:
A cube is a three-dimensional solid object which has 12 edges, 8 vertices and 6 faces.
A rectangular prism is a solid three-dimensional object which has six faces that are rectangles.
Let n denotes number of cubes inside the rectangular prism
Volume of one cube =
cubic inches
So, volume of rectangular prism = volume of n cubes = 
Answer:
556.4
Step-by-step explanation:
If the total number of interior angles is 6120 and the total number of sides is 11 so angle of one side=6120/11 (each angle is equal)
Each side =556.36 (correct to two decimal place)
Round to nearest 10th
Answer=556.4