Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
Step-by-step explanation:
let both unknowns be x and y
x = 5y. ......(1)
x + y = 90. ......(2)
sub eqn (1) into eqn (2)
5y + y = 90
6y = 90
y = 90/6
= 15
sub y = 15 to eqn (1)
x = 5y
x = 5 × 15
× = 75
Givens
Sequence 2, - 4, 8, -16, 32 ....
First term = a = 2
Problem
Find the nth term
tn = (-1 )^(n -1) * (a)^n answer or
tn = (-1)^(n - 1) * 2^n
where a is defined as the first term (it usually is given that designation).
Try a few to make sure the formula is correct
<em>n = 1</em>
t1 = (-1)^(1 - 1) * 2^1
t1 = (-1)^0 * 2
t1 = 1 * 2 = 2
<em>n =2</em>
t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4
Step-by-step explanation:
This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.
Answer:
2^1
