Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
Answer:
a
Step-by-step explanation:
they are right
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Factoring
- Exponential Rule [Dividing]:
- Exponential Rule [Powering]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule:
Quotient Rule:
Trig Derivative:
eˣ Derivative:
Step-by-step explanation:
<u>Step 1: Define</u>
<u>Step 2: Differentiate</u>
- [Derivative] Quotient Rule:
- [Derivative] [Fraction - Numerator] eˣ derivative:
- [Derivative] [Fraction - Denominator] Exponential Rule - Powering:
- [Derivative] [Fraction - Numerator] Product Rule:
- [Derivative] [Fraction - Numerator] [Brackets] Basic Power Rule:
- [Derivative] [Fraction - Numerator] [Brackets] (Parenthesis) Simplify:
- [Derivative] [Fraction - Numerator] [Brackets] Trig derivative:
- [Derivative] [Fraction - Numerator] Factor:
- [Derivative] [Fraction] Simplify [Exponential Rule - Dividing]:
- [Derivative] [Fraction - Numerator] Factor:
Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e