Answer:
55 degrees
Step-by-step explanation:
All angles in a triangle must equal 180 degrees when added together
They provide you with 2 angles 35 degrees and 90 degrees
So, you add 35 + 90 = 125
So you know that the 2 angles they give you equal 125 degrees
Now, you subtract 180 - 125 = 55
So the missing angle is 55 degrees
Answer:
x = 53.6588°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing angle.
<u>Step 2: Identify Variables</u>
<em>POV from angle x</em>
Angle = <em>x</em>
Adjacent = 16
Hypotenuse = 27
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: cosx° = 16/27
- Inverse: x° = cos⁻¹(16/27)
- Evaluate: x = 53.6588°
The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
<h3>How to analyze quadratic equations</h3>
In this question we have a graph of a <em>quadratic</em> equation translated to another place of a <em>Cartesian</em> plane, whose form coincides with the <em>vertex</em> form of the equation of the parabola, whose form is:
g(x) = C · (x - h)² - k (1)
Where:
- (h, k) - Vertex coordinates
- C - Vertex constant
By direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.
x = 2
g(2) = (2 - 5)² + 1
g(2) = 10
x = 8
g(8) = (8 - 5)² + 1
g(8) = 10
The <em>quadratic</em> function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
To learn more on parabolae: brainly.com/question/21685473
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Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
