Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
(7x - 1) + 80 + (6x - 3) = 180
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 13x + 76 = 180
- Isolate <em>x</em> term: 13x = 104
- Isolate <em>x</em>: x = 8
Answer:
=9
Step-by-step explanation:
3–(–3)+7–4=
=3+3+7-4
=6+7-4
=13-4
=9
I hope this helps!
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
Answer:
one solutions
Step-by-step explanation:
Beacause at the end of the solution the value of x
will be the solution
Answer:
Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
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We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
