Power to a Power: When you have a power to a power, you multiply the exponents (or powers). Quotient of Powers: When you divide exponentials with the same base, you subtract the exponents (or powers). ... Power of a Quotient: When you have a quotient to a power, you give each base its own exponent.
Answer:
correct
Step-by-step explanation:
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(a) m∠a = 100°
(b) m∠b = 80°
(c) m∠c = 100°
Solution:
Given 3rd and 4th street are parallel lines and King Ave is a transveral line.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠a + 80° = 180°
⇒ m∠a = 180° – 80°
⇒ m∠a = 100°
∠c and ∠a are vertically opposite angles.
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠c ≅ ∠a
⇒ m∠c = m∠a
⇒ m∠c = 100°
<em>If two parallel lines are cut by a transversal, then the corresponding angles in the same side of the transversal are congruent.</em>
80° and angle b are corresponding angles.
⇒ m∠b = 80°
Hence m∠a = 100°, m∠b = 80° and m∠c = 100°.
The arc measure of AD in degrees is 43 degrees.
<u>Step-by-step explanation</u>:
- The angle measure of the straight line is 180°.
- ∠APD + ∠DPC + ∠CPB = 180°
⇒ (7x+1)° + 90° + (9x-7)° = 180°
⇒ 16x + 84° = 180°
⇒ 16x = 96°
⇒ x = 96/16
x = 6
Substitute x=6 for angle ∠APD = (7x+1)°
∠APD = 7(6)+1 = 43°
The arc measure of AD in degrees = 43 degrees.
Answer:
x = 5±√31
Step-by-step explanation:
Step 1: Complete the Square
x² - 10x + 25 = 6 + 25
(x - 5)² = 31
Step 2: Solve for <em>x</em>
√(x - 5)² = √31
x - 5 = ±√31
x = 5±√31
And we have our answers!