Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
First compute the coefficient like this:

Simplifying the fraction over 4! we get:

and the variables are

. So answer

.
The correct answer is C then.
Answer:
Option D. It's a perfect square trinomial.
Step-by-step explanation:
(a) 36x² - 4x + 16
= (6x)² - 2(2x) + (4)²
It's not a perfect square trinomial
(b) 16x² - 8x + 36
= (4x)² - 2x(4x) + (6)²
It's not a perfect square trinomial
(c) 25x² + 9x + 4
= (5x)² + 2
+ (2)²
It's not a perfect square trinomial
(d) 4x² + 20x + 25
= (2x)² + 2(10x) + (5)²
= (2x+5)²
It's a perfect square trinomial.
Answer:
2/3(two thirds) of the 24 hour day awake, amounts to 24 x 2 / 3 hours awake which is equal to 16 hours awake
Step-by-step explanation:
24 x 2/3
there are many ways to evaluate this mentally, if you know 8x3=24, for instance you can multiply top and bottom of 2/3 by 8 yo gey 24 x 16/24 which is 16 hours
Answer:
Step-by-step explanation:
Question 3 Reflects over x acis
Question 5 reflects over y axis