Answer:
A. m∠2 + m∠3
Step-by-step explanation:
The <em><u>exterior angle theorem</u></em> states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles.
So m∠4's non-adjacent angles are 2 and 3 NOT 1. Therefore, the measure of ∠4 = m∠2 + m∠3.
Hope this helps!
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
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(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
C. 10
Step-by-step explanation:
it changes by positive ten each week
Answer:
a^11
Step-by-step explanation:
a to the power of 2 to the power of 3 equals to a to the power of 6
then, multiplied to a to the fifth, you add 5 by 6, which is 11
Answer:
Irrational numbers can look like fractions: 

Irrational numbers have never ending decimals. Pi and e are also irrational numbers.