Answer:
h = -9
Step-by-step explanation:
Simplifying
5h + 22 + -2h = -5
Reorder the terms:
22 + 5h + -2h = -5
Combine like terms: 5h + -2h = 3h
22 + 3h = -5
Solving
22 + 3h = -5
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + -22 + 3h = -5 + -22
Combine like terms: 22 + -22 = 0
0 + 3h = -5 + -22
3h = -5 + -22
Combine like terms: -5 + -22 = -27
3h = -27
Divide each side by '3'.
h = -9
Simplifying
h = -9
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: 5.875 miles run on Friday to reach her goal by Jen
Step-by-step explanation:
Since we have given that
Part of distance covered on Monday by Jen is given by

Part of distance covered on Tuesday by Jen is given by

Part of distance covered on Wednesday by Jen is given by
0
Part of distance covered on Thursday by Jen is given by

Total part of distance covered in these four days by Jen is given by

Remaining part of distance will be covered on Friday to reach her goal which is given by

Hence, 5.875 miles run on Friday to reach her goal by Jen.
A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.
Step-by-step explanation:
Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.
A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.
When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)