Answer:
30+(2x+7)+63=180(sum of angles of triangle )
30+2x+7+63=180
2x+100=180
2x=180-100
x=80/2
x=40
The answer here will be 1 2/3 because 5/3 is 1 2/3
Answer:
The option D) 
and 
is correct
Step-by-step explanation:
Given that Sam is an artist, and he wants to purchase frames to display his work at home.
He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
<h3>To find the system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs :</h3>
Let x be the large frames cost
Therefore 
Let y be the medium frames cost
Therefore 
Sam's Spend amount is 
We can write the system of the given condition by
<h3>Therefore the option D)
and
is correct</h3>
Answer:
[ 5.456, 5.544]
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.5 ounces
Standard deviation r = 0.2 ounces
Number of samples n = 80
Confidence interval = 95%
z value (at 95% confidence) = 1.96
Substituting the values we have;
5.5+/-1.96(0.2/√80)
5.5+/-1.96(0.022360679774)
5.5+/-0.043826932358
5.5+/-0.044
= ( 5.456, 5.544) ounces
Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces
Answer:
less than.
Step-by-step explanation:
when using negative numbers, the smaller number is the bigger number. So because positive 3.4 is larger than positive 0.75, -0.75 would be larger
