Answer:
m(∠C) = 18°
Step-by-step explanation:
From the picture attached,
m(arc BD) = 20°
m(arc DE) = 104°
Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.
m(∠C) = ![\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%28EA%29%7D-%5Ctext%7Barc%28BD%29%7D%5D)
Since, AB is a diameter,
m(arc BD) + m(arc DE) + m(arc EA) = 180°
20° + 104° + m(arc EA) = 180°
124° + m(arc EA) = 180°
m(arc EA) = 56°
Therefore, m(∠C) = 
m(∠C) = 18°
The quotient is 340 I know because I divided I changed .25 to 25 and changed 85 to 8500 then divided
Answer:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Step-by-step explanation:
We proceed to solve algebraically and explain each step:
1)
GIven
2)
Commutative property
3)
Distributive property/Definition of addition
4)
Definition of addition
5)
Compatibility with addition
6)
Existence of additive inverse/Modulative property
7)
Compatibility with multiplication
8)
Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Hence, we have the following answers:
(1) Commutative property
(2) Distributive property/Definition of addition
(3) Compatibility with addition/Existence of additive inverse/Modulative property
(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result
Answer:
Find the product of (√2 + √5) (√7 - √5)