Answer:
Step-by-step explanation:
we know that
The <u><em>Triangle External Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
In this problem
solve for w
Answer:
<em>(D). (8, - 5) </em>
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( , )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
<em>(D). (8, - 5)</em>
Answer:
Step-by-step explanation:
Multiplying exponents is the same as adding them.
^2 x ^5 is the same as 2 + 5 = 7
You have to keep the bases the same so your answer is
Vote Brainliest, Thx :)
Answer:
See below.
Step-by-step explanation:
1 ÷ loga ab + 1 ÷ logb ab
= 1 / (loga ab) + 1 / (loga ab / loga b) { change of log base)
= 1 / (loga ab) + loga b / (loga ab)
= (1 + loga b) / loga ab
= (1 + loga b) / (loga a + loga b) Now loga a = 1 so we have:
((1 + loga b) / (1 + loga b)
= 1.
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
Solving (a):
Find M
Substitute 14 for F in
Convert to fraction
Multiply through by 14
Solving (b):
Find M
Substitute 42 for F in
Convert to fraction
Multiply through by 42
Solving (c):
Find F
Substitute 30 for M in
Convert to fraction
Multiply through by 30