Answer:
The actual measure of ∠1 = 40°
Step-by-step explanation:
We are given: ∠1 = 2x+6 and ∠2 = 8x+4
and both angles are supplementary. we need to find the actual measure of ∠1
Supplementary angles: If the angles are supplementary their sum is equal to 180°
In our case ∠1 +∠2 = 180°
2x+6+8x+4=180
Solving the equation to find x, then we can find the actual measure of ∠1

So, value of x = 17
Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

So, the actual measure of ∠1 = 40°
Answer:

Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and 
Both numerator are equal
Compare the denominators

therefore
is the largest rational number
First, you should do the product first:
(-4.7)* (7.021)= -32.9987
Then, let's do the subtraction:
(-5.12)- (-32.9987)
= (-5.12)+ 32.9987
= 27.8787
Final answer: 27.8787
Hope this would help~
Answer:
the slope represents 10 dollars for every guest where x = guest
Step-by-step explanation:
Answer:
1. 3sqrt(2)
Choice C
2. 2sqrt(3)
Choice D
Step-by-step explanation:
1. sqrt(x+3)
sqrt(15+3)
sqrt(18)
sqrt(9*2)
sqrt(9)sqrt(2)
3sqrt(2)
Choice C
2. 6/sqrt(x)
6/sqrt(3)
no radicals in the denominator, multiply by 1 in the form of the radical
6/sqrt(3) * sqrt(3)/sqrt(3)
6sqrt(3)/ (sqrt(3)*sqrt(3))
6sqrt(3)/3
2sqrt(3)
Choice D