<span>1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180°
Given
2. m∠1 + m∠5 = m∠1 + m∠4
Substitution
3. m∠5 = m∠4
</span>Subtraction property of equality
<span>
4. Ray YZ is parallel to Ray UV
</span>If alternate interior angles equal, then lines are ||. <span>
</span>
Answer:
Power of a quotient property
Step-by-step explanation:
It is power of a quotient property, when you have different bases, whose quotient(division) is raised to the same power, it is equal to dividing, each base raised to same power.
Here, x and y are different bases and 3 is the common power to both of them.
In general for any power, say m :
Because,
And,
i.e
Answer:
n = 16
Step-by-step explanation:
3^4(81^2) = 3^n
3^4(3^4) = 3^n
3^16 = 3^n
n = 16
Answer:
y > 4x - 2
Step-by-step explanation:
y-intercept is at -2
slope is rise by 4, run by 1
if you don't know where to shade, select a point and plug it in to see if T or F
example (0, 0)
is 0 > 4(0) - 2
is 0 > -2 True, so shade to the left because this is where (0,0) is
Answer: a) 1,600
b) 35,000
c) 120,000
<u>Step-by-step explanation:</u>
First, round each number to one significant digit (the first digit).
Then multiply them.
a) 17 --> rounds to 20
82 --> rounds to 80
20 x 80 = 2 x 8 with two zeros
= 1 6 0 0
b) 54 --> rounds to 50
671 --> rounds to 700
50 x 700 = 5 x 7 with three zeros
= 3 5 0 0 0
c) 207 --> rounds to 200
643 --> rounds to 600
200 x 600 = 2 x 6 with four zeros
= 1 2 0 0 0 0