Answer:
Step-by-step explanation:
<em><u>The correct question is</u></em>
The sum of three consecutive even integers is -72. what are the three numbers
Let
x ----> the first consecutive even integer
x+2 ----> the second consecutive even integer
x+4 ----> the third consecutive even integer
we know that
solve for x
so
therefore
the numbers are
Answer:
Step-by-step explanation:
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
∠ABD=∠BAD= ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD= ------> the sum of the internal angles of a triangle is equal to
Step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is
so
∠CBD=
Step 3
Find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC=
therefore
the answer is
the measure of the angle ∠ABC is
Answer:
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Step-by-step explanation:
Have a blessed day!!!!!
Answer:
0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(-5x + 6x²) - (6x² - 5x)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: -5x + 6x² - 6x² + 5x
- [Subtraction] Combine like terms (x²): -5x + 5x
- [Addition] Combine like terms (x): 0
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
So, we have the following proportion:
that you can read as: "if an angle of 360 corresponds to a distance travelled of 
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
